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Upload original Matlab程序设计 course files (part 8)

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  1. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/README +26 -3
  2. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/heuristicXover.m +68 -3
  3. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/initializega.m +42 -3
  4. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/initializeoga.m +42 -3
  5. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/inversionMutation.m +41 -3
  6. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/linerorderXover.m +48 -3
  7. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/maxGenTerm.m +31 -3
  8. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/multiNonUnifMutation.m +45 -3
  9. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/nonUnifMutation.m +45 -3
  10. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/normGeomSelect.m +49 -3
  11. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/optMaxGenTerm.m +36 -3
  12. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/orderBasedExample.m +131 -3
  13. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/orderbasedXover.m +42 -3
  14. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/parse.m +42 -3
  15. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/partmapXover.m +53 -3
  16. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/plotCorana.m +26 -3
  17. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/roulette.m +30 -3
  18. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/shiftMutation.m +41 -3
  19. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/simpleXover.m +35 -3
  20. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/singleptXover.m +39 -3
  21. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/startup.m +2 -3
  22. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/swapMutation.m +40 -3
  23. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/threeswapMutation.m +36 -3
  24. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/tournSelect.m +36 -3
  25. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/tspEval.m +7 -3
  26. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/unifMutation.m +34 -3
  27. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/uniformXover.m +55 -3
  28. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/用MATLAB实现遗传算法程序/B2F.m +22 -3
  29. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/用MATLAB实现遗传算法程序/F2B.m +29 -3
  30. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/用MATLAB实现遗传算法程序/INTinti.m +16 -3
  31. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/用MATLAB实现遗传算法程序/changes.m +49 -3
  32. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/用MATLAB实现遗传算法程序/cross.m +57 -3
  33. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/用MATLAB实现遗传算法程序/de2bi.m +34 -3
  34. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/用MATLAB实现遗传算法程序/f553.m +27 -3
  35. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/用MATLAB实现遗传算法程序/ga.m +47 -3
  36. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/用MATLAB实现遗传算法程序/gaDemo1Eeval.m +8 -3
  37. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/用MATLAB实现遗传算法程序/mutation.m +29 -3
  38. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/用MATLAB实现遗传算法程序/myfun.m +9 -3
  39. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/用MATLAB实现遗传算法程序/myga.m +81 -3
  40. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/用MATLAB实现遗传算法程序/xcross.m +4 -3
  41. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法/三个遗传算法matlab程序实例.docx +0 -0
  42. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法的一些应用于编程(含源代码)/MTSP问题求解/MTSP的求解程序代码/ceshide.m +4 -3
  43. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法的一些应用于编程(含源代码)/MTSP问题求解/MTSP的求解程序代码/floyed.m +37 -3
  44. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法的一些应用于编程(含源代码)/MTSP问题求解/MTSP的求解程序代码/lujing.mat +0 -0
  45. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法的一些应用于编程(含源代码)/MTSP问题求解/MTSP的求解程序代码/mtspf_ga.m +184 -3
  46. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法的一些应用于编程(含源代码)/MTSP问题求解/MTSP的求解程序代码/myLength.m +6 -3
  47. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法的一些应用于编程(含源代码)/MTSP问题求解/MTSP的求解程序代码/readme.txt +1 -3
  48. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法的一些应用于编程(含源代码)/TSP问题求解/基于Matlab的遗传算法解决TSP问题的报告.txt +495 -3
  49. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法的一些应用于编程(含源代码)/TSP问题求解/新建 Microsoft Word 文档 (2).doc +0 -0
  50. matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法的一些应用于编程(含源代码)/TSP问题求解/新建 Microsoft Word 文档 (3).doc +0 -0
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/README CHANGED
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- version https://git-lfs.github.com/spec/v1
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1
+ This directory contains the Genetic Algorithm Optimization Toolbox for
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+ Matlab 5.
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+
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+ To use this, if you are local to NCSU and have AFS access to this
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+ directory, simply extend the matlab path using the following command.
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+ You can also place this command in a file called startup.m. Everytime
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+ you start Matlab in the directory containing this file, the path will
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+ always be extended.
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+
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+ >>path(path,'/afs/eos/service/ie/research/kay_res/GAToolBox/gaot');
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+
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+ Otherwise, install the .m files into a directory named gaot and extend
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+ the matlab path to that directory. The compressed tar archive and the
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+ zip file should automatically create the gaot directory for you.
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+
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+ The companion paper describing this toolbox is included here as
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+ gaotv5.ps. The paper, the three demo files, gademo1.m gademo2.m
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+ gademo3.m, and four example scripts, binaryExample, floatExample,
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+ floatGradExample, and orderbasedExample, should be sufficient
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+ explanation of this toolbox. For any questions, comments, suggestions
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+ send mail to jjoine@eos.ncsu.edu.
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+
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+ For a list of the files in the tool box get help on gaot.
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+
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+ Thanks for trying the toolbox.
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+
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/heuristicXover.m CHANGED
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+ function [c1,c2] = heuristicXover(p1,p2,bounds,Ops)
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+ % Heuristic crossover takes two parents P1,P2 and performs an extrapolation
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+ % along the line formed by the two parents outward in the direction of the
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+ % better parent.
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+ %
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+ % function [c1,c2] = heuristicXover(p1,p2,bounds,Ops)
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+ % p1 - the first parent ( [solution string function value] )
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+ % p2 - the second parent ( [solution string function value] )
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+ % bounds - the bounds matrix for the solution space
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+ % Ops - Options for heuristic crossover, [gen #heurXovers number_of_retries]
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+
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+ % Binary and Real-Valued Simulation Evolution for Matlab
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+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
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+ %
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+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
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+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
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+ % Software, Submitted 1996.
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+ %
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+ % This program is free software; you can redistribute it and/or modify
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+ % it under the terms of the GNU General Public License as published by
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+ % the Free Software Foundation; either version 1, or (at your option)
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+ % any later version.
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+ %
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+ % This program is distributed in the hope that it will be useful,
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+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
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+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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+ % GNU General Public License for more details. A copy of the GNU
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+ % General Public License can be obtained from the
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+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
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+
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+ retry=Ops(3); % Number of retries
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+ i=0;
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+ good=0;
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+ b1=bounds(:,1)';
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+ b2=bounds(:,2)';
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+ numVar = size(p1,2)-1;
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+ % Determine the best and worst parent
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+ if(p1(numVar+1) > p2(numVar+1))
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+ bt = p1;
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+ wt = p2;
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+ else
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+ bt = p2;
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+ wt = p1;
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+ end
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+ while i<retry
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+ % Pick a random mix amount
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+ a = rand;
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+ % Create the child
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+ c1 = a * (bt - wt) + bt;
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+
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+ % Check to see if child is within bounds
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+ if (c1(1:numVar) <= b2 & (c1(1:numVar) >= b1))
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+ i = retry;
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+ good=1;
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+ else
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+ i = i + 1;
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+ end
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+ end
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+
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+ % If new child is not feasible just return the new children
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+ if(~good)
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+ c1 = wt;
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+ end
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+
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+ % Crossover functions return two children therefore return the best
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+ % and the new child created
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+ c2 = bt;
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+
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/initializega.m CHANGED
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+ function [pop] = initializega(num, bounds, evalFN,evalOps,options)
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+
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+ if nargin<5
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+ options=[1e-6 1];
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+ end
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+ if nargin<4
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+ evalOps=[];
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+ end
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+
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+ if any(evalFN<48)
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+ if options(2)==1 %Float GA
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+ estr=['x=pop(i,1); pop(i,xZomeLength)=', evalFN ';'];
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+ else %Binary GA
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+ estr=['x=b2f(pop(i,:),bounds,bits); pop(i,xZomeLength)=', evalFN ';'];
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+ end
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+ else %A .m file
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+ if options(2)==1 %Float GA
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+ estr=['[ pop(i,:) pop(i,xZomeLength)]=' evalFN '(pop(i,:),[0 evalOps]);'];
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+ else %Binary GA
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+ estr=['x=b2f(pop(i,:),bounds,bits);[x v]=' evalFN ...
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+ '(x,[0 evalOps]); pop(i,:)=[f2b(x,bounds,bits) v];'];
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+ end
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+ end
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+
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+
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+ numVars = size(bounds,1); %Number of variables
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+ rng = (bounds(:,2)-bounds(:,1))'; %The variable ranges'
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+
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+ if options(2)==1 %Float GA
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+ xZomeLength = numVars+1; %Length of string is numVar + fit
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+ pop = zeros(num,xZomeLength); %Allocate the new population
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+ pop(:,1:numVars)=(ones(num,1)*rng).*(rand(num,numVars))+...
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+ (ones(num,1)*bounds(:,1)');
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+ else %Binary GA
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+ bits=calcbits(bounds,options(1));
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+ xZomeLength = sum(bits)+1; %Length of string is numVar + fit
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+ pop = round(rand(num,sum(bits)+1));
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+ end
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+
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+ for i=1:num
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+ eval(estr);
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+ end
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/initializeoga.m CHANGED
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- size 1561
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ function [pop] = initializeoga(num,bounds,evalFN,evalOps,options)
2
+ % initializeoga(populationSize, variableBounds,evalFN,evalOps,options)
3
+ % initializeoga creates a matrix of random permutations with
4
+ % a number of rows equal to the populationSize and a number
5
+ % columns equal to the size of the permutation plus 1 for
6
+ % the f(x) value which is found by applying the evalFN.
7
+ % This initization function is used with an order-based
8
+ % representation.
9
+ %
10
+ % pop - the initial, evaluated, random population
11
+ % num - the size of the population, i.e. the number to create
12
+ % bounds - the number of permutations in an individual (e.g., number
13
+ % of cities in a tsp
14
+ % evalFN - the evaluation fn, usually the name of the .m file for evaluation
15
+ % evalOps- any options to be passed to the eval function defaults []
16
+ % options- options to the initialize function, ie. [eps float/binary prec]
17
+ % where eps is the epsilon value and the second option is 1 for
18
+ % orderOps, prec is the precision of the variables defaults [1e-6 1]
19
+
20
+ if nargin<5
21
+ options=[1e-6 1];
22
+ end
23
+ if nargin<4
24
+ evalOps=[];
25
+ end
26
+
27
+ if any(evalFN<48) %Not a .m file
28
+ estr=['x=pop(i,:); pop(i,xZomeLength)=', evalFN ';'];
29
+ else %A .m file
30
+ estr=['[pop(i,:) pop(i,xZomeLength)]=' evalFN '(pop(i,:),[0 evalOps]);'];
31
+ end
32
+
33
+
34
+ numVars = bounds; %Number of variables
35
+
36
+ xZomeLength = numVars+1; %Length of string is numVar + fit
37
+ pop = zeros(num,xZomeLength); %Allocate the new population
38
+ for i=1:num
39
+ pop(i,:)=[randperm(numVars) 0];
40
+ eval(estr);
41
+ end
42
+
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/inversionMutation.m CHANGED
@@ -1,3 +1,41 @@
1
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- size 1555
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ function [child] = inversionMutation(par,bounds,genInfo,Ops)
2
+ % Inversion mutation inverts the bits or permutation between two
3
+ % cut points.
4
+ %
5
+ % function [newSol] = inversionMutation(parent,bounds,Ops)
6
+ % parent - the first parent ( [solution string function value] )
7
+ % bounds - the bounds matrix for the solution space
8
+ % Ops - Options for binaryMutation [gen prob_of_mutation]
9
+
10
+ % Binary and Real-Valued Simulation Evolution for Matlab
11
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
12
+ %
13
+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
14
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
15
+ % Software, Submitted 1996.
16
+ %
17
+ % This program is free software; you can redistribute it and/or modify
18
+ % it under the terms of the GNU General Public License as published by
19
+ % the Free Software Foundation; either version 1, or (at your option)
20
+ % any later version.
21
+ %
22
+ % This program is distributed in the hope that it will be useful,
23
+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
24
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
25
+ % GNU General Public License for more details. A copy of the GNU
26
+ % General Public License can be obtained from the
27
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
28
+
29
+ sz = size(par,2)-1;
30
+ pos1 = round(rand*sz + 0.5);
31
+ pos2 = round(rand*sz + 0.5);
32
+ if pos1 ~= pos2
33
+ if pos1 > pos2
34
+ t = pos1; pos1 = pos2; pos2 = t;
35
+ end
36
+ child = [par(1:pos1-1) fliplr(par(pos1:pos2)) par(pos2+1:(sz+1))];
37
+ else
38
+ child = par;
39
+ end
40
+
41
+
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/linerorderXover.m CHANGED
@@ -1,3 +1,48 @@
1
- version https://git-lfs.github.com/spec/v1
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3
- size 1850
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ function [c1,c2]=lox(p1,p2,bounds,genInfo,ops)
2
+ % Linearorder crossover takes two parents P1,P2 and performs linear order
3
+ % crossover for permutation strings.
4
+ %
5
+ % function [c1,c2] = linearOrderXover(p1,p2,bounds,Ops)
6
+ % p1 - the first parent ( [solution string function value] )
7
+ % p2 - the second parent ( [solution string function value] )
8
+ % bounds - the bounds matrix for the solution space
9
+ % Ops - Options matrix for simple crossover [gen #SimpXovers].
10
+
11
+ % Binary and Real-Valued Simulation Evolution for Matlab
12
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
13
+ %
14
+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
15
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
16
+ % Software, Submitted 1996.
17
+ %
18
+ % This program is free software; you can redistribute it and/or modify
19
+ % it under the terms of the GNU General Public License as published by
20
+ % the Free Software Foundation; either version 1, or (at your option)
21
+ % any later version.
22
+ %
23
+ % This program is distributed in the hope that it will be useful,
24
+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
25
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
26
+ % GNU General Public License for more details. A copy of the GNU
27
+ % General Public License can be obtained from the
28
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
29
+ sz=size(p1,2)-1;
30
+ c1=p1(1:sz);%zeros(1,sz);
31
+ c2=p2(1:sz);%zeros(1,sz);
32
+ cut1=round(rand*(sz-1)+1.5);
33
+ cut2=round(rand*(sz-1)+1.5);
34
+ while cut2 == cut1
35
+ cut2 = round(rand*sz + 0.5);
36
+ end
37
+ if cut1 > cut2
38
+ t = cut1; cut1 = cut2; cut2 = t;
39
+ end
40
+ for i=cut1:cut2
41
+ c1=strrep(c1,p2(i),-1);
42
+ c2=strrep(c2,p1(i),-1);
43
+ end
44
+ g1=find(c1>-1);
45
+ g2=find(c2>-1);
46
+ c1=[c1(g1(1:(cut1-1))) p2(cut1:cut2) c1(g1(cut1:end)) p1(end)];
47
+ c2=[c2(g2(1:(cut1-1))) p1(cut1:cut2) c2(g2(cut1:end)) p2(end)];
48
+
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/maxGenTerm.m CHANGED
@@ -1,3 +1,31 @@
1
- version https://git-lfs.github.com/spec/v1
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- oid sha256:878b9efbeb4297ae5d1dd3c40b71964120bb978fa543f5d6cc5f42700c0014ed
3
- size 1345
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ function [done] = maxGenTerm(ops,bPop,endPop)
2
+ % function [done] = maxGenTerm(ops,bPop,endPop)
3
+ %
4
+ % Returns 1, i.e. terminates the GA when the maximal_generation is reached.
5
+ %
6
+ % ops - a vector of options [current_gen maximum_generation]
7
+ % bPop - a matrix of best solutions [generation_found solution_string]
8
+ % endPop - the current generation of solutions
9
+
10
+ % Binary and Real-Valued Simulation Evolution for Matlab
11
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
12
+ %
13
+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
14
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
15
+ % Software, Submitted 1996.
16
+ %
17
+ % This program is free software; you can redistribute it and/or modify
18
+ % it under the terms of the GNU General Public License as published by
19
+ % the Free Software Foundation; either version 1, or (at your option)
20
+ % any later version.
21
+ %
22
+ % This program is distributed in the hope that it will be useful,
23
+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
24
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
25
+ % GNU General Public License for more details. A copy of the GNU
26
+ % General Public License can be obtained from the
27
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
28
+
29
+ currentGen = ops(1);
30
+ maxGen = ops(2);
31
+ done = currentGen >= maxGen;
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/multiNonUnifMutation.m CHANGED
@@ -1,3 +1,45 @@
1
- version https://git-lfs.github.com/spec/v1
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3
- size 1991
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ function [parent] = multiNonUnifMutation(parent,bounds,Ops)
2
+ % Multi-Non uniform mutation changes all of the parameters of the parent
3
+ % based on a non-uniform probability distribution. This Gaussian
4
+ % distribution starts wide, and narrows to a point distribution as the
5
+ % current generation approaches the maximum generation.
6
+ %
7
+ % function [newSol] = multiNonUnifMutate(parent,bounds,Ops)
8
+ % parent - the first parent ( [solution string function value] )
9
+ % bounds - the bounds matrix for the solution space
10
+ % Ops - Options for multiNonUnifMutation
11
+ % [gen #MultiNonUnifMutations maxGen b]
12
+
13
+ % Binary and Real-Valued Simulation Evolution for Matlab
14
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
15
+ %
16
+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
17
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
18
+ % Software, Submitted 1996.
19
+ %
20
+ % This program is free software; you can redistribute it and/or modify
21
+ % it under the terms of the GNU General Public License as published by
22
+ % the Free Software Foundation; either version 1, or (at your option)
23
+ % any later version.
24
+ %
25
+ % This program is distributed in the hope that it will be useful,
26
+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
27
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
28
+ % GNU General Public License for more details. A copy of the GNU
29
+ % General Public License can be obtained from the
30
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
31
+
32
+ cg=Ops(1); % Current Generation
33
+ mg=Ops(3); % Maximum Number of Generations
34
+ b=Ops(4); % Shape parameter
35
+ df = bounds(:,2) - bounds(:,1); % Range of the variables
36
+ numVar = size(parent,2)-1; % Get the number of variables
37
+ % Now mutate that point
38
+ md = round(rand(1,numVar));
39
+ for i = 1:numVar
40
+ if md(i)
41
+ parent(i)=parent(i)+delta(cg,mg,bounds(i,2)-parent(i),b);
42
+ else
43
+ parent(i)=parent(i)-delta(cg,mg,parent(i)-bounds(i,1),b);
44
+ end
45
+ end
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/nonUnifMutation.m CHANGED
@@ -1,3 +1,45 @@
1
- version https://git-lfs.github.com/spec/v1
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3
- size 2190
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ function [parent] = nonUnifMutate(parent,bounds,Ops)
2
+ % Non uniform mutation changes one of the parameters of the parent
3
+ % based on a non-uniform probability distribution. This Gaussian
4
+ % distribution starts wide, and narrows to a point distribution as the
5
+ % current generation approaches the maximum generation.
6
+ %
7
+ % function [newSol] = multiNonUnifMutate(parent,bounds,Ops)
8
+ % parent - the first parent ( [solution string function value] )
9
+ % bounds - the bounds matrix for the solution space
10
+ % Ops - Options for nonUnifMutate[gen #NonUnifMutations maxGen b]
11
+
12
+ % Binary and Real-Valued Simulation Evolution for Matlab
13
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
14
+ %
15
+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
16
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
17
+ % Software, Submitted 1996.
18
+ %
19
+ % This program is free software; you can redistribute it and/or modify
20
+ % it under the terms of the GNU General Public License as published by
21
+ % the Free Software Foundation; either version 1, or (at your option)
22
+ % any later version.
23
+ %
24
+ % This program is distributed in the hope that it will be useful,
25
+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
26
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
27
+ % GNU General Public License for more details. A copy of the GNU
28
+ % General Public License can be obtained from the
29
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
30
+
31
+ cg=Ops(1); % Current Generation
32
+ mg=Ops(3); % Maximum Number of Generations
33
+ b=Ops(4); % Shape parameter
34
+ df = bounds(:,2) - bounds(:,1); % Range of the variables
35
+ numVar = size(parent,2)-1; % Get the number of variables
36
+ % Pick a variable to mutate randomly from 1 to number of vars
37
+ mPoint = round(rand * (numVar-1)) + 1;
38
+ md = round(rand); % Choose a direction of mutation
39
+ if md % Mutate towards upper bound
40
+ newValue=parent(mPoint)+delta(cg,mg,bounds(mPoint,2)-parent(mPoint),b);
41
+ else % Mutate towards lower bound
42
+ newValue=parent(mPoint)-delta(cg,mg,parent(mPoint)-bounds(mPoint,1),b);
43
+ end
44
+ parent(mPoint) = newValue; % Make the child
45
+
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/normGeomSelect.m CHANGED
@@ -1,3 +1,49 @@
1
- version https://git-lfs.github.com/spec/v1
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- size 2308
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ function[newPop] = normGeomSelect(oldPop,options)
2
+ % NormGeomSelect is a ranking selection function based on the normalized
3
+ % geometric distribution.
4
+ %
5
+ % function[newPop] = normGeomSelect(oldPop,options)
6
+ % newPop - the new population selected from the oldPop
7
+ % oldPop - the current population
8
+ % options - options to normGeomSelect [gen probability_of_selecting_best]
9
+
10
+ % Binary and Real-Valued Simulation Evolution for Matlab
11
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
12
+ %
13
+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
14
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
15
+ % Software, Submitted 1996.
16
+ %
17
+ % This program is free software; you can redistribute it and/or modify
18
+ % it under the terms of the GNU General Public License as published by
19
+ % the Free Software Foundation; either version 1, or (at your option)
20
+ % any later version.
21
+ %
22
+ % This program is distributed in the hope that it will be useful,
23
+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
24
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
25
+ % GNU General Public License for more details. A copy of the GNU
26
+ % General Public License can be obtained from the
27
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
28
+
29
+ q=options(2); % Probability of selecting the best
30
+ e = size(oldPop,2); % Length of xZome, i.e. numvars+fit
31
+ n = size(oldPop,1); % Number of individuals in pop
32
+ newPop = zeros(n,e); % Allocate space for return pop
33
+ fit = zeros(n,1); % Allocates space for prob of select
34
+ x=zeros(n,2); % Sorted list of rank and id
35
+ x(:,1) =[n:-1:1]'; % To know what element it was
36
+ [y x(:,2)] = sort(oldPop(:,e)); % Get the index after a sort
37
+ r = q/(1-(1-q)^n); % Normalize the distribution, q prime
38
+ fit(x(:,2))=r*(1-q).^(x(:,1)-1); % Generates Prob of selection
39
+ fit = cumsum(fit); % Calculate the cumulative prob. func
40
+ rNums=sort(rand(n,1)); % Generate n sorted random numbers
41
+ fitIn=1; newIn=1; % Initialize loop control
42
+ while newIn<=n % Get n new individuals
43
+ if(rNums(newIn)<fit(fitIn))
44
+ newPop(newIn,:) = oldPop(fitIn,:); % Select the fitIn individual
45
+ newIn = newIn+1; % Looking for next new individual
46
+ else
47
+ fitIn = fitIn + 1; % Looking at next potential selection
48
+ end
49
+ end
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/optMaxGenTerm.m CHANGED
@@ -1,3 +1,36 @@
1
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3
- size 1555
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ function [done] = optMaxGenTerm(ops,bPop,endPop)
2
+ % function [done] = optMaxGenTerm(ops,bPop,endPop)
3
+ %
4
+ % Returns 1, i.e. terminates the GA, when either the maximal_generation is
5
+ % reached or when the optimal function val is found.
6
+ %
7
+ % ops - a vector of options [maximum_generation optimal epsilon]
8
+ % bPop - a matrix of best solutions [generation_found solution_string]
9
+ % endPop - the current generation of solutions
10
+
11
+ % Binary and Real-Valued Simulation Evolution for Matlab
12
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
13
+ %
14
+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
15
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
16
+ % Software, Submitted 1996.
17
+ %
18
+ % This program is free software; you can redistribute it and/or modify
19
+ % it under the terms of the GNU General Public License as published by
20
+ % the Free Software Foundation; either version 1, or (at your option)
21
+ % any later version.
22
+ %
23
+ % This program is distributed in the hope that it will be useful,
24
+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
25
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
26
+ % GNU General Public License for more details. A copy of the GNU
27
+ % General Public License can be obtained from the
28
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
29
+
30
+ currentGen = ops(1);
31
+ maxGen = ops(2);
32
+ optimal = ops(3);
33
+ epsilon = ops(4);
34
+ fitIndex = size(endPop,2);
35
+ bestSolVal = max(endPop(:,fitIndex));
36
+ done = (currentGen >= maxGen) | ((optimal - bestSolVal) <= epsilon);
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/orderBasedExample.m CHANGED
@@ -1,3 +1,131 @@
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1
+ echo on
2
+ % This script shows how to use the ga using an order-based representation.
3
+ % You should see the demos for
4
+ % more information as well. gademo1, gademo2, gademo3
5
+ global distMatrix
6
+ % Setting the seed to the same for binary
7
+ rand('seed',156789)
8
+
9
+ % 6 city problem
10
+ t=[ 92.6112 59.0801; 49.1155 50.0000; 12.5000 57.9436; 75.0000 19.3703;
11
+ 8.6504 13.7113; 36.8786 92.9628];
12
+ t=100*rand(15,2);
13
+ sz=size(t,1);
14
+ distMatrix=dists(t,t);
15
+
16
+
17
+ % Order-based Representation Crossover Operators
18
+ % cyclicXover.m
19
+ % erXover.m
20
+ % enhancederXover.m
21
+ % linerorderXover.m
22
+ % orderbasedXover.m
23
+ % partmapXover.m
24
+ % singleptXover.m
25
+ % uniformXover.m
26
+
27
+ xFns = 'cyclicXover uniformXover partmapXover orderbasedXover '
28
+ xFns =[xFns,'singleptXover linerorderXover'];
29
+ % xFns = [xFns,'enhancederXover linerorderXover']
30
+ % xFns = [xFns,'linerorderXover singleptXover']
31
+ xOpts = [2;2;2;2;2;2];% 2; 2; 2; 2; 2; 2; 2];
32
+
33
+ % Order-based Mutation Operators
34
+ % inversionMutation
35
+ % adjswapMutation.m
36
+ % shiftMutation.m
37
+ % swapMutation.m
38
+ % threeswapMutation.m
39
+
40
+ mFns = 'inversionMutation adjswapMutation shiftMutation swapMutation threeswapMutation';
41
+ mOpts = [2;2;2;2;2];
42
+
43
+ % Termination Operators
44
+ termFns = 'maxGenTerm';
45
+ termOps = [100]; % 200 Generations
46
+
47
+ % Selection Function
48
+ selectFn = 'normGeomSelect';
49
+ selectOps = [0.08];
50
+
51
+ % Evaluation Function
52
+ evalFn = 'tspEval';
53
+ evalOps = [];
54
+
55
+ type tspEval
56
+
57
+ % Bounds on the number of cities in the TSP
58
+ bounds = [sz];
59
+
60
+ % GA Options [epsilon float/binar display]
61
+ gaOpts=[1e-6 1 1];
62
+
63
+ % Generate an intialize population of size 20
64
+ startPop = initializeoga(80,bounds,'tspEval',[1e-6 1]);
65
+
66
+ % Lets run the GA
67
+ %Hit a return to continue
68
+ pause
69
+ [x endPop bestPop trace]=ga(bounds,evalFn,evalOps,startPop,gaOpts,...
70
+ termFns,termOps,selectFn,selectOps,xFns,xOpts,mFns,mOpts);
71
+
72
+ % x is the best solution found
73
+ x
74
+ %Hit a return to continue
75
+ pause
76
+
77
+ % endPop is the ending population
78
+ %endPop
79
+ %%Hit a return to continue
80
+ %pause
81
+
82
+ % bestPop is the best solution tracked over generations
83
+ bestPop
84
+ %Hit a return to continue
85
+ pause
86
+
87
+ % trace is a trace of the best value and average value of generations
88
+ trace
89
+
90
+ %Hit a return to continue
91
+ pause
92
+
93
+ % Plot the best over time
94
+ clf
95
+ plot(trace(:,1),trace(:,2));
96
+ %Hit a return to continue
97
+ pause
98
+
99
+ % Add the average to the graph
100
+ hold on
101
+ plot(trace(:,1),trace(:,3));
102
+ %Hit a return to continue
103
+ pause
104
+
105
+ figure(2)
106
+ clf
107
+ A=ones(sz,sz);
108
+ A= xor(triu(A),tril(A));
109
+ [xg yg]=gplot(A,t);
110
+ clf
111
+ plot(xg,yg,'b:','MarkerSize',24);
112
+ h=gca;
113
+ hold on
114
+ ap=x;
115
+ plot(t(x(1:sz),1),t(x(1:(sz)),2),'r-')
116
+ plot(t([x(1),x(sz)],1),t([x(1),x(sz)],2),'r-')
117
+ plot(xg,yg,'b.','MarkerSize',24);
118
+
119
+ j=1;
120
+ for i=1:sz
121
+ str=sprintf('C-%d',j);
122
+ if t(i,1)<50
123
+ j=j+1;
124
+ text(t(i,1)-7,t(i,2),str);
125
+ else
126
+ j=j+1;
127
+ text(t(i,1)+2,t(i,2),str);
128
+ end
129
+ end
130
+ legend('Path','Best Found Path')
131
+ echo off
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/orderbasedXover.m CHANGED
@@ -1,3 +1,42 @@
1
- version https://git-lfs.github.com/spec/v1
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- oid sha256:69ba737ee3db67e5ccae7c6f4a83ef02d1e44404b869d91e30ff7d07f91a010f
3
- size 1741
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ function [c1,c2]= oox(p1,p2,bounds,Ops)
2
+ % Orderbased crossover takes two parents P1,P2 and performs order
3
+ % based crossover by Davis.
4
+ %
5
+ % function [c1,c2] = orderbasedXover(p1,p2,bounds,Ops)
6
+ % p1 - the first parent ( [solution string function value] )
7
+ % p2 - the second parent ( [solution string function value] )
8
+ % bounds - the bounds matrix for the solution space
9
+ % Ops - Options matrix for simple crossover [gen #SimpXovers].
10
+
11
+ % Binary and Real-Valued Simulation Evolution for Matlab
12
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
13
+ %
14
+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
15
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
16
+ % Software, Submitted 1996.
17
+ %
18
+ % This program is free software; you can redistribute it and/or modify
19
+ % it under the terms of the GNU General Public License as published by
20
+ % the Free Software Foundation; either version 1, or (at your option)
21
+ % any later version.
22
+ %
23
+ % This program is distributed in the hope that it will be useful,
24
+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
25
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
26
+ % GNU General Public License for more details. A copy of the GNU
27
+ % General Public License can be obtained from the
28
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
29
+ sz=size(p1,2)-1;
30
+ n=floor(sz/2);
31
+ cut1 = round(rand*(n-1)+0.5); %Generate random cut point U(1,n/2);
32
+ cut2 = round(rand*(sz-cut1-1)+1+cut1); %Generate random cut point U(cut1+1,n-1);
33
+ pm1=p1(1:end-1);
34
+ pm2=p2(1:end-1);
35
+ c1=p1;
36
+ c2=p2;
37
+ for i=[1:cut1 (cut2+1):sz]
38
+ pm1=strrep(pm1,p2(i),-1);
39
+ pm2=strrep(pm2,p1(i),-1);
40
+ end
41
+ c1((cut1+1):cut2)=p2(find(pm2>0));
42
+ c2((cut1+1):cut2)=p1(find(pm1>0));
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/parse.m CHANGED
@@ -1,3 +1,42 @@
1
- version https://git-lfs.github.com/spec/v1
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- oid sha256:4cac9baa65366e9604e3bf061005c8c9c73254320accbad0508aab2e733e3330
3
- size 1459
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ function [x] = parse(inStr)
2
+ % parse is a function which takes in a string vector of blank separated text
3
+ % and parses out the individual string items into a n item matrix, one row
4
+ % for each string.
5
+ %
6
+ % function [x] = parse(inStr)
7
+ % x - the return matrix of strings
8
+ % inStr - the blank separated string vector
9
+
10
+ % Binary and Real-Valued Simulation Evolution for Matlab
11
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
12
+ %
13
+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
14
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
15
+ % Software, Submitted 1996.
16
+ %
17
+ % This program is free software; you can redistribute it and/or modify
18
+ % it under the terms of the GNU General Public License as published by
19
+ % the Free Software Foundation; either version 1, or (at your option)
20
+ % any later version.
21
+ %
22
+ % This program is distributed in the hope that it will be useful,
23
+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
24
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
25
+ % GNU General Public License for more details. A copy of the GNU
26
+ % General Public License can be obtained from the
27
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
28
+
29
+ sz=size(inStr);
30
+ strLen=sz(2);
31
+ x=blanks(strLen);
32
+ wordCount=1;
33
+ last=0;
34
+ for i=1:strLen,
35
+ if inStr(i) == ' '
36
+ wordCount = wordCount + 1;
37
+ x(wordCount,:)=blanks(strLen);
38
+ last=i;
39
+ else
40
+ x(wordCount,i-last)=inStr(i);
41
+ end
42
+ end
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/partmapXover.m CHANGED
@@ -1,3 +1,53 @@
1
- version https://git-lfs.github.com/spec/v1
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- oid sha256:178834d29e099dda975d1fb5e44ff726617dbe7b321a655077393f0215f85643
3
- size 1921
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ function [ch1,ch2] = partmapXover(par1,par2,bounds,Ops)
2
+ % Partmap crossover takes two parents P1,P2 and performs a partially
3
+ % mapped crossover.
4
+ %
5
+ % function [c1,c2] = partmapXover(p1,p2,bounds,Ops)
6
+ % p1 - the first parent ( [solution string function value] )
7
+ % p2 - the second parent ( [solution string function value] )
8
+ % bounds - the bounds matrix for the solution space
9
+ % Ops - Options matrix for simple crossover [gen #SimpXovers].
10
+
11
+ % Binary and Real-Valued Simulation Evolution for Matlab
12
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
13
+ %
14
+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
15
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
16
+ % Software, Submitted 1996.
17
+ %
18
+ % This program is free software; you can redistribute it and/or modify
19
+ % it under the terms of the GNU General Public License as published by
20
+ % the Free Software Foundation; either version 1, or (at your option)
21
+ % any later version.
22
+ %
23
+ % This program is distributed in the hope that it will be useful,
24
+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
25
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
26
+ % GNU General Public License for more details. A copy of the GNU
27
+ % General Public License can be obtained from the
28
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
29
+ sz = size(par1,2)-1;
30
+ pos1 = round(rand*sz + 0.5);
31
+ pos2 = round(rand*sz + 0.5);
32
+ while pos2 == pos1
33
+ pos2 = round(rand*sz + 0.5);
34
+ end
35
+ if pos1 > pos2
36
+ t = pos1; pos1 = pos2; pos2 = t;
37
+ end
38
+ ss1 = par1(pos1:pos2); ss2 = par2(pos1:pos2);
39
+ ch1 = par2; ch2 = par1;
40
+ for i = [1:pos1-1 pos2+1:sz]
41
+ ch1(i) = par1(i);
42
+ j = find(ch1(i) == ss2);
43
+ while ~isempty(j)
44
+ ch1(i) = ss1(j);
45
+ j = find(ch1(i) == ss2);
46
+ end
47
+ ch2(i) = par2(i);
48
+ j = find(ch2(i) == ss1);
49
+ while ~isempty(j)
50
+ ch2(i) = ss2(j);
51
+ j = find(ch2(i) == ss1);
52
+ end
53
+ end
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/plotCorana.m CHANGED
@@ -1,3 +1,26 @@
1
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3
- size 514
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ function [z, a] = coranaEval(per)
2
+ i=0;
3
+ a=-0.9:per:0.9;
4
+ sz=size(a,2);
5
+ z=zeros(sz,sz);
6
+ for x=a
7
+ i=i+1; j=0;
8
+ for y=a
9
+ j=j+1;
10
+ z(i,j)=coranaFeval([x y]);
11
+ end
12
+ end
13
+ %Done!
14
+
15
+ %First let's look at it in each dimension independently
16
+ clg
17
+ plot(z(:,1)) %Plot a slice of the function in x max 250.25
18
+ %Notice the range is [250.0-250.25]
19
+ pause %Strike any key to continue
20
+ clg
21
+ plot(z(1,:)) %Plot a slice of the function in y
22
+ %Notice the range is [0-250]
23
+ pause %Strike any key to continue
24
+ mesh(a,a,z);
25
+ view(30,60);
26
+ grid;
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/roulette.m CHANGED
@@ -1,3 +1,30 @@
1
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3
- size 861
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ function[newPop] = roulette(oldPop,options)
2
+ %roulette is the traditional selection function with the probability of
3
+ %surviving equal to the fittness of i / sum of the fittness of all individuals
4
+ %
5
+ %function[newPop] = roulette(oldPop,options)
6
+ %newPop - the new population selected from the oldPop
7
+ %oldPop - the current population
8
+ %options - options [gen]
9
+
10
+ %Get the parameters of the population
11
+ numVars = size(oldPop,2);
12
+ numSols = size(oldPop,1);
13
+
14
+ %Generate the relative probabilites of selection
15
+ totalFit = sum(oldPop(:,numVars));
16
+ prob=oldPop(:,numVars) / totalFit;
17
+ prob=cumsum(prob);
18
+
19
+ rNums=sort(rand(numSols,1)); %Generate random numbers
20
+
21
+ %Select individuals from the oldPop to the new
22
+ fitIn=1;newIn=1;
23
+ while newIn<=numSols
24
+ if(rNums(newIn)<prob(fitIn))
25
+ newPop(newIn,:) = oldPop(fitIn,:);
26
+ newIn = newIn+1;
27
+ else
28
+ fitIn = fitIn + 1;
29
+ end
30
+ end
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/shiftMutation.m CHANGED
@@ -1,3 +1,41 @@
1
- version https://git-lfs.github.com/spec/v1
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3
- size 1624
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ function [child] = shiftMutation(par,bounds,genInfo,Ops)
2
+ % Shift mutation performs displaces one random gene
3
+ % in a permutation to another position.
4
+ %
5
+ % function [newSol] = shiftMutation(parent,bounds,Ops)
6
+ % parent - the first parent ( [solution string function value] )
7
+ % bounds - the bounds matrix for the solution space
8
+ % Ops - Options for binaryMutation [gen prob_of_mutation]
9
+
10
+ % Binary and Real-Valued Simulation Evolution for Matlab
11
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
12
+ %
13
+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
14
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
15
+ % Software, Submitted 1996.
16
+ %
17
+ % This program is free software; you can redistribute it and/or modify
18
+ % it under the terms of the GNU General Public License as published by
19
+ % the Free Software Foundation; either version 1, or (at your option)
20
+ % any later version.
21
+ %
22
+ % This program is distributed in the hope that it will be useful,
23
+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
24
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
25
+ % GNU General Public License for more details. A copy of the GNU
26
+ % General Public License can be obtained from the
27
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
28
+ sz = size(par,2)-1;
29
+ ppos = round(rand*sz + 0.5);
30
+ cpos = round(rand*sz + 0.5);
31
+ if ppos ~= cpos
32
+ if ppos > cpos
33
+ child = [par(1:cpos-1) par(ppos) par(cpos:ppos-1) par(ppos+1:sz) par(sz+1)];
34
+ else
35
+ child = [par(1:ppos-1) par(ppos+1:cpos) par(ppos) par(cpos+1:sz) par(sz+1)];
36
+ end
37
+ else
38
+ child = par;
39
+ end
40
+
41
+
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/simpleXover.m CHANGED
@@ -1,3 +1,35 @@
1
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3
- size 1611
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ function [c1,c2] = simpleXover(p1,p2,bounds,Ops)
2
+ % Simple crossover takes two parents P1,P2 and performs simple single point
3
+ % crossover.
4
+ %
5
+ % function [c1,c2] = simpleXover(p1,p2,bounds,Ops)
6
+ % p1 - the first parent ( [solution string function value] )
7
+ % p2 - the second parent ( [solution string function value] )
8
+ % bounds - the bounds matrix for the solution space
9
+ % Ops - Options matrix for simple crossover [gen #SimpXovers].
10
+
11
+ % Binary and Real-Valued Simulation Evolution for Matlab
12
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
13
+ %
14
+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
15
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
16
+ % Software, Submitted 1996.
17
+ %
18
+ % This program is free software; you can redistribute it and/or modify
19
+ % it under the terms of the GNU General Public License as published by
20
+ % the Free Software Foundation; either version 1, or (at your option)
21
+ % any later version.
22
+ %
23
+ % This program is distributed in the hope that it will be useful,
24
+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
25
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
26
+ % GNU General Public License for more details. A copy of the GNU
27
+ % General Public License can be obtained from the
28
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
29
+
30
+ numVar = size(p1,2)-1; % Get the number of variables
31
+ % Pick a cut point randomly from 1-number of vars
32
+ cPoint = round(rand * (numVar-2)) + 1;
33
+
34
+ c1 = [p1(1:cPoint) p2(cPoint+1:numVar+1)]; % Create the children
35
+ c2 = [p2(1:cPoint) p1(cPoint+1:numVar+1)];
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/singleptXover.m CHANGED
@@ -1,3 +1,39 @@
1
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3
- size 1564
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ function [c1,c2]= singlePtX(p1,p2,bounds,Ops)
2
+ % function [c1,c2] = singlePtXover(p1,p2,bounds,Ops)
3
+ % p1 - the first parent ( [solution string function value] )
4
+ % p2 - the second parent ( [solution string function value] )
5
+ % bounds - the bounds matrix for the solution space
6
+ % Ops - Options matrix for simple crossover [gen #SimpXovers].
7
+
8
+ % Binary and Real-Valued Simulation Evolution for Matlab
9
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
10
+ %
11
+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
12
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
13
+ % Software, Submitted 1996.
14
+ %
15
+ % This program is free software; you can redistribute it and/or modify
16
+ % it under the terms of the GNU General Public License as published by
17
+ % the Free Software Foundation; either version 1, or (at your option)
18
+ % any later version.
19
+ %
20
+ % This program is distributed in the hope that it will be useful,
21
+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
22
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
23
+ % GNU General Public License for more details. A copy of the GNU
24
+ % General Public License can be obtained from the
25
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
26
+ sz=size(p1,2)-1;
27
+ cut = round(rand*(sz-1)+0.5); %Generate random cut point U(1,n-1)
28
+ pm1=p1(1:sz);
29
+ pm2=p2(1:sz);
30
+ c1=p1;
31
+ c2=p2;
32
+ c1(1:cut)=p1(1:cut);
33
+ c2(1:cut)=p2(1:cut);
34
+ for i=1:cut
35
+ pm1=strrep(pm1,p2(i),-1);
36
+ pm2=strrep(pm2,p1(i),-1);
37
+ end
38
+ c1((cut+1):sz)=p2(find(pm2>0));
39
+ c2((cut+1):sz)=p1(find(pm1>0));
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/startup.m CHANGED
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+ path(path,'/afs/eos/info/ie/ie589k_info/GAOT');
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+
 
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+ function [child] = swapmutate(par,bounds,genInfo,Ops)
2
+ % Swap mutation exchanges the positions of two randomly
3
+ % chosen genes in a permutation
4
+ %
5
+ % function [newSol] = adjswapmutation(parent,bounds,Ops)
6
+ % parent - the first parent ( [solution string function value] )
7
+ % bounds - the bounds matrix for the solution space
8
+ % Ops - Options for binaryMutation [gen prob_of_mutation]
9
+
10
+ % Binary and Real-Valued Simulation Evolution for Matlab
11
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
12
+ %
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+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
14
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
15
+ % Software, Submitted 1996.
16
+ %
17
+ % This program is free software; you can redistribute it and/or modify
18
+ % it under the terms of the GNU General Public License as published by
19
+ % the Free Software Foundation; either version 1, or (at your option)
20
+ % any later version.
21
+ %
22
+ % This program is distributed in the hope that it will be useful,
23
+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
24
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
25
+ % GNU General Public License for more details. A copy of the GNU
26
+ % General Public License can be obtained from the
27
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
28
+ sz = size(par,2)-1;
29
+ pos1 = round(rand*sz + 0.5);
30
+ pos2 = round(rand*sz + 0.5);
31
+ if pos1 ~= pos2
32
+ if pos1 > pos2
33
+ t = pos1; pos1 = pos2; pos2 = t;
34
+ end
35
+ child = [par(1:pos1-1) par(pos2) par(pos1+1:pos2-1) par(pos1) par(pos2+1:(sz+1))];
36
+ else
37
+ child = par;
38
+ end
39
+
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+
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+ function [c] = threeswapMutation(p,bounds,genInfo,Ops)
2
+ % Three swap mutation performs a three way swap of three randomly
3
+ % chosen genes in a permutation
4
+ %
5
+ % function [newSol] = threeswapMutation(parent,bounds,Ops)
6
+ % parent - the first parent ( [solution string function value] )
7
+ % bounds - the bounds matrix for the solution space
8
+ % Ops - Options for binaryMutation [gen prob_of_mutation]
9
+
10
+ % Binary and Real-Valued Simulation Evolution for Matlab
11
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
12
+ %
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+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
14
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
15
+ % Software, Submitted 1996.
16
+ %
17
+ % This program is free software; you can redistribute it and/or modify
18
+ % it under the terms of the GNU General Public License as published by
19
+ % the Free Software Foundation; either version 1, or (at your option)
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+ % any later version.
21
+ %
22
+ % This program is distributed in the hope that it will be useful,
23
+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
24
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
25
+ % GNU General Public License for more details. A copy of the GNU
26
+ % General Public License can be obtained from the
27
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
28
+ sz = size(p,2)-1;
29
+ j=randperm(sz);
30
+ jobs=j(1:3);
31
+ c=p;
32
+ c(jobs)=c(jobs(randperm(3)));
33
+
34
+
35
+
36
+
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+ function[newPop] = tournSelect(oldPop,options)
2
+ % Performs a tournament selection.
3
+ %
4
+ % function[newPop] = tournSelect(oldPop,options)
5
+ % newPop - the new population selected from the oldPop
6
+ % oldPop - the current population
7
+ % options - options to normGeomSelect [gen tournament_size]
8
+
9
+ % Binary and Real-Valued Simulation Evolution for Matlab
10
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
11
+ %
12
+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
13
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
14
+ % Software, Submitted 1996.
15
+ %
16
+ % This program is free software; you can redistribute it and/or modify
17
+ % it under the terms of the GNU General Public License as published by
18
+ % the Free Software Foundation; either version 1, or (at your option)
19
+ % any later version.
20
+ %
21
+ % This program is distributed in the hope that it will be useful,
22
+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
23
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
24
+ % GNU General Public License for more details. A copy of the GNU
25
+ % General Public License can be obtained from the
26
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
27
+
28
+ tournSize=options(2); % Get the number of tournaments
29
+ e = size(oldPop,2); % xZome length
30
+ n = size(oldPop,1); % number in Population
31
+ newPop = zeros(n,e); % Create the memory for newPop
32
+ tourns=floor(rand(tournSize,n)*n)+1; % Schedule of tournaments
33
+ % Determine the winner of the tournaments
34
+ [c b]=max(reshape(oldPop(tourns,e),tournSize,n));
35
+ newPop=oldPop(diag(tourns(b,:)),:); % Copy the winners in to newPop
36
+
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/工具箱/遗传算法工具箱2/遗传工具箱/tspEval.m CHANGED
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+ function [sol,val] = tsp(sol,options)
2
+ global distMatrix;
3
+ sol;
4
+ numvars=size(sol,2)-1;
5
+ val = -sum(diag(distMatrix(sol(1:numvars),[sol(2:numvars) sol(1)])));
6
+
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+ function [parent] = uniformMutate(parent,bounds,Ops)
2
+ % Uniform mutation changes one of the parameters of the parent
3
+ % based on a uniform probability distribution.
4
+ %
5
+ % function [newSol] = multiNonUnifMutate(parent,bounds,Ops)
6
+ % parent - the first parent ( [solution string function value] )
7
+ % bounds - the bounds matrix for the solution space
8
+ % Ops - Options for uniformMutation [gen #UnifMutations]
9
+
10
+ % Binary and Real-Valued Simulation Evolution for Matlab
11
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
12
+ %
13
+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
14
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
15
+ % Software, Submitted 1996.
16
+ %
17
+ % This program is free software; you can redistribute it and/or modify
18
+ % it under the terms of the GNU General Public License as published by
19
+ % the Free Software Foundation; either version 1, or (at your option)
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+ % any later version.
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+ %
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+ % This program is distributed in the hope that it will be useful,
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+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
24
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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+ % GNU General Public License for more details. A copy of the GNU
26
+ % General Public License can be obtained from the
27
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
28
+
29
+ df = bounds(:,2) - bounds(:,1); % Range of the variables
30
+ numVar = size(parent,2)-1; % Get the number of variables
31
+ % Pick a variable to mutate randomly from 1-number of vars
32
+ mPoint = round(rand * (numVar-1)) + 1;
33
+ newValue = bounds(mPoint,1)+rand * df(mPoint); % Now mutate that point
34
+ parent(mPoint) = newValue; % Make the child
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+ function [ch1,ch2,t] = uniformxover(par1,par2,bounds,Ops)
2
+ % Uniform crossover takes two parents P1,P2 and performs uniform
3
+ % crossover on a permuation string.
4
+ %
5
+ % function [c1,c2] = linearOrderXover(p1,p2,bounds,Ops)
6
+ % p1 - the first parent ( [solution string function value] )
7
+ % p2 - the second parent ( [solution string function value] )
8
+ % bounds - the bounds matrix for the solution space
9
+ % Ops - Options matrix for simple crossover [gen #SimpXovers].
10
+
11
+ % Binary and Real-Valued Simulation Evolution for Matlab
12
+ % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay
13
+ %
14
+ % C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function
15
+ % optimization: A Matlab implementation. ACM Transactions on Mathmatical
16
+ % Software, Submitted 1996.
17
+ %
18
+ % This program is free software; you can redistribute it and/or modify
19
+ % it under the terms of the GNU General Public License as published by
20
+ % the Free Software Foundation; either version 1, or (at your option)
21
+ % any later version.
22
+ %
23
+ % This program is distributed in the hope that it will be useful,
24
+ % but WITHOUT ANY WARRANTY; without even the implied warranty of
25
+ % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
26
+ % GNU General Public License for more details. A copy of the GNU
27
+ % General Public License can be obtained from the
28
+ % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
29
+ sz = size(par1,2)-1;
30
+ ch1 = par1;
31
+ ch2 = par2;
32
+ t = round(rand(1,sz));
33
+ szt = sum(t);
34
+ idx = 1:sz;
35
+ idxt = idx(logical(t));
36
+ plst = idxt;
37
+ for i = 1:szt
38
+ plst(i) = find(par2 == par1(idxt(i)));
39
+ end
40
+ plst = sort(plst);
41
+ for i = 1:szt
42
+ ch1(idxt(i)) = par2(plst(i));
43
+ end
44
+ szt = sz - szt;
45
+ idxt = idx(~t);
46
+ plst = idxt;
47
+ for i = 1:szt
48
+ plst(i) = find(par1 == par2(idxt(i)));
49
+ end
50
+ plst = sort(plst);
51
+ for i = 1:szt
52
+ ch2(idxt(i)) = par1(plst(i));
53
+ end
54
+
55
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+ % ���ߣ�����01-2�����º�
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+ n=length(sol);
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+ len=[];B=[];v=[];
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+ L=bounds(:,2)-bounds(:,1);
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+ L=de2bi(L);
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+ for i=1:n
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+ len(i)=length(L(i,:));
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+ end
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+ v=sol-bounds(:,1)';
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+ for i=1:n
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+ B=[B de2bi(v(i),len(i))];
22
+ end
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+ q(i)=sum(len(1:i));
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+ q=[0 q];
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+ for j=1:m
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+ pops(j)=bounds(j,1);
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+ p=[];
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+ p=x(q(j)+1:q(j+1));
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+ L1=q(j+1)-q(j);
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+ for k=1:L1
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+ pops(j)=pops(j)+p(k)*2^(k-1);
24
+ end
25
+ end
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+
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+
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+
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+
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+ p=rand(num,n);
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+ for i=1:num
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+ p(i,:)=round(p(i,:).*L');
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+ pop(i,:)= p(i,:)+bounds(:,1)';
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+ f(i)=myfun(pop(i,:));
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+ end
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+ pop=[pop f'];
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+ p1=round(sum(len)*n*p);
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+ k=0;q=[];v=[];
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+ while(k<p1)
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+ k=k+1;
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+ q(k)=round(rand*(sum(len)*n-1))+1;
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+ for i=1:k-1
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+ if q(k)==q(i)
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+ q(k)=[];
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+ k=k-1;
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+ end
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+ end
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+ end
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+
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+ for i=1:n
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+ [B(i,:),len]=B2F(pop(i,:),bounds);
33
+ end
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+
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+ for i=1:p1
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+ if v(q(i))==0
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+ v(q(i))=1;
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+ else
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+ v(q(i))=0;
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+ end
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+ v=reshape(v,n,sum(len));
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+ for i=1:n
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+ pop(i,:)=F2B(v(i,:),bounds,len);
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+ end
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+ pops=pop
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+ cpop
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+ if isempty(CP)
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+ mychild=child(:,1:end-1);
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+ v=[];
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+ p=rand(1,n);
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+ k=1;
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+ for i=1:n
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+ if p(i)<CP
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+ v(k)=i;
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+ k=k+1;
25
+ end
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+ end
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+ if (rem(k,2)==0)
28
+ temp=v(k-1);
29
+ while (temp==v(k-1))
30
+ temp=round(rand*(n-1))+1;
31
+ end
32
+ v(k)=temp;
33
+ k=k+1;
34
+ end
35
+ if isempty(v)
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+ [B(i,:),len]=B2F(mychild(1,:),bounds);
37
+ B=[];
38
+ else
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+ for i=1:k-1
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+ [B(i,:),len]=B2F(mychild(v(i),:),bounds);
41
+ end
42
+ for i=1:2:k-2
43
+ p2=round(rand*sum(len)-1)+1;
44
+ t=zeros(1,p2);
45
+ t(i,:)=B(i,1:p2);
46
+ B(i,1:p2)=B(i+1,1:p2);
47
+ B(i+1,1:p2)=t(i,:);
48
+ end
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+ for i=1:k-1
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+ mychild(v(i),:)=F2B(B(i,:),bounds,len);
51
+ end
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+ end
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+ cpop=mychild;
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+
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+
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matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/用MATLAB实现遗传算法程序/de2bi.m CHANGED
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+ else
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32
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+ [cpop ,len,v]=cross(pop,bounds,CP);
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+ [pops]=changes(cpop,bounds,len,P);break;
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+ sol=pops(i,:);
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+ fmax(i)=f(i);
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+ endpop(i,1:end-1)=pops(i,:);
41
+ end
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+ k=k+1;
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+ end
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+ [f,ii]=max(fmax);
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+ x=endpop(ii,1:end-1);
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matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/用MATLAB实现遗传算法程序/mutation.m CHANGED
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+ for j=1:n
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+ for k=1:n
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+ if t(j)<q(k)
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+ v(j)=k;
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+ i=1:n;
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+
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matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/用MATLAB实现遗传算法程序/myga.m CHANGED
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29
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30
+ if isempty(P)
31
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32
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33
+ if isempty(N)
34
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35
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44
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50
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52
+ count=0;x=[];f=zeros(1,num);
53
+ while(count<N)
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58
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59
+ [f(i)]=Myfun(sol);
60
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61
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62
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64
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65
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66
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67
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68
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71
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73
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74
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79
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+ [f,ii]=max(fmax);
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+ x=endpop(ii,1:end-1);
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matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法的一些应用于编程(含源代码)/MTSP问题求解/MTSP的求解程序代码/floyed.m CHANGED
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+ d(1,i,j)=d(1,i,1)+d(1,1,j);
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+ %�����ӵڶ� �� ������� ��ʱ�� ·���Ż�
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+ d(k,i,j)=d(k-1,i,k)+d(k-1,k,j);
31
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32
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+ end
35
+ matrix=zeros(size(G,1),size(G,1));
36
+ matrix=d(size(G,1),:,:);
37
+ matrix=reshape(matrix,size(G,1),size(G,1));
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法的一些应用于编程(含源代码)/MTSP问题求解/MTSP的求解程序代码/lujing.mat CHANGED
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matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法的一些应用于编程(含源代码)/MTSP问题求解/MTSP的求解程序代码/mtspf_ga.m CHANGED
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- size 6108
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ function varargout = mtspf_ga(dmat,salesmen,min_tour,pop_size,num_iter,show_prog,show_res)
2
+ %dmat ���������м�����·������ͨ��floyed�㷨��ý����
3
+ %salesmen �����̸���
4
+ %min_tour ÿ�����������ٷ��ʵij�����
5
+ %pop_size ��Ⱥ������
6
+ %num_iter �����Ĵ���
7
+ %show_prog,show_res ��ʾ�IJ����趨
8
+ nargs = 7; %���������������������һЩĬ�ϵIJ�����
9
+ for k = nargin:nargs-1
10
+ switch k
11
+ case 0
12
+ dmat = 10*rand(20,20);
13
+ case 1
14
+ salesmen = 5;
15
+ case 2
16
+ min_tour = 2;
17
+ case 3
18
+ pop_size = 80;
19
+ case 4
20
+ num_iter = 5e3;
21
+ case 5
22
+ show_prog = 1;
23
+ case 6
24
+ show_res = 1;
25
+ otherwise
26
+ end
27
+ end
28
+
29
+ % ������� ����
30
+ [nr,nc] = size(dmat);
31
+ if nr ~= nc
32
+ error('Invalid XY or DMAT inputs!')
33
+ end
34
+ n = nr - 1; % ��ȥ��ʼ�ij��к�ʣ��ij��е���
35
+
36
+ % ���������
37
+ salesmen = max(1,min(n,round(real(salesmen(1)))));
38
+ min_tour = max(1,min(floor(n/salesmen),round(real(min_tour(1)))));
39
+ pop_size = max(8,8*ceil(pop_size(1)/8));
40
+ num_iter = max(1,round(real(num_iter(1))));
41
+ show_prog = logical(show_prog(1));
42
+ show_res = logical(show_res(1));
43
+
44
+ % ��ʼ��·�ߡ��ϵ��ѡ��
45
+ num_brks = salesmen-1;
46
+ dof = n - min_tour*salesmen; % �������ɷ��ʵij�����
47
+ addto = ones(1,dof+1);
48
+ for k = 2:num_brks
49
+ addto = cumsum(addto);
50
+ end
51
+ cum_prob = cumsum(addto)/sum(addto);
52
+
53
+ % ��ʼ����Ⱥ
54
+ pop_rte = zeros(pop_size,n); % ·�����ϵ���Ⱥ
55
+ pop_brk = zeros(pop_size,num_brks); % �ϵ㼯�ϵ���Ⱥ
56
+ for k = 1:pop_size
57
+ pop_rte(k,:) = randperm(n)+1;
58
+ pop_brk(k,:) = randbreaks();
59
+ end
60
+
61
+ % ѡ���ͼʱ�ĸ����˵���ɫ ��ɾȥ��
62
+ clr = [1 0 0; 0 0 1; 0.67 0 1; 0 1 0; 1 0.5 0];
63
+ if salesmen > 5
64
+ clr = hsv(salesmen);
65
+ end
66
+
67
+ % ��ʼ�����Ŵ��㷨����
68
+ global_min = Inf; %��ʼ�����·��
69
+ total_dist = zeros(1,pop_size);
70
+ dist_history = zeros(1,num_iter);
71
+ tmp_pop_rte = zeros(8,n); %��ǰ��·������
72
+ tmp_pop_brk = zeros(8,num_brks); %��ǰ�Ķϵ�����
73
+ new_pop_rte = zeros(pop_size,n); %���µ�·������
74
+ new_pop_brk = zeros(pop_size,num_brks);%���µĶϵ�����
75
+ if show_prog
76
+ pfig = figure('Name','MTSPF_GA | Current Best Solution','Numbertitle','off');
77
+ end
78
+ for iter = 1:num_iter
79
+ % ����ÿһ������Ⱥ ��Ӧ���������ѡ��
80
+ for p = 1:pop_size
81
+ d = 0;
82
+ p_rte = pop_rte(p,:);
83
+ p_brk = pop_brk(p,:);
84
+ rng = [[1 p_brk+1];[p_brk n]]';
85
+ for s = 1:salesmen
86
+
87
+ d = d + dmat(1,p_rte(rng(s,1))); % ���ӿ�ʼ��·��
88
+ for k = rng(s,1):rng(s,2)-1
89
+ d = d + dmat(p_rte(k),p_rte(k+1));
90
+ end
91
+ d = d + dmat(p_rte(rng(s,2)),1); % ���ӽ����ĵ�·��
92
+ dis(p,s)=d;
93
+ %d=d+myLength(dmat,p_rte(rng(s,1):rng(s,2)));%�ɵ��ú�������
94
+ end
95
+ total_dist(p) = d;
96
+ %distan(p)=max(dis(p,:));%�����������е����ֵ
97
+ end
98
+
99
+ % ��ÿ����Ⱥ���ҵ���õ�·��
100
+ [min_dist,index] = min(total_dist);
101
+ dist_history(iter) = min_dist; %+max(distan);
102
+
103
+ if min_dist < global_min
104
+ global_min = min_dist;
105
+ opt_rte = pop_rte(index,:); %���ŵ����·��
106
+ opt_brk = pop_brk(index,:); %���ŵĶϵ�����
107
+ rng = [[1 opt_brk+1];[opt_brk n]]'; %���ü�¼�ϵ�ķ���
108
+ end
109
+
110
+ % �Ŵ��㷨���ӵIJ�������
111
+ rand_grouping = randperm(pop_size);
112
+ for p = 8:8:pop_size
113
+ rtes = pop_rte(rand_grouping(p-7:p),:);
114
+ brks = pop_brk(rand_grouping(p-7:p),:);
115
+ dists = total_dist(rand_grouping(p-7:p));
116
+ [ignore,idx] = min(dists);
117
+ best_of_8_rte = rtes(idx,:);
118
+ best_of_8_brk = brks(idx,:);
119
+ rte_ins_pts = sort(ceil(n*rand(1,2)));
120
+ I = rte_ins_pts(1);
121
+ J = rte_ins_pts(2);
122
+ for k = 1:8 % �����µķ���
123
+ tmp_pop_rte(k,:) = best_of_8_rte;
124
+ tmp_pop_brk(k,:) = best_of_8_brk;
125
+ switch k
126
+ case 2 % ����
127
+ tmp_pop_rte(k,I:J) = fliplr(tmp_pop_rte(k,I:J));
128
+ case 3 % ��������
129
+ tmp_pop_rte(k,[I J]) = tmp_pop_rte(k,[J I]);
130
+ case 4 % ����ƽ�Ʋ���
131
+ tmp_pop_rte(k,I:J) = tmp_pop_rte(k,[I+1:J I]);
132
+ case 5 % ���¶ϵ�
133
+ tmp_pop_brk(k,:) = randbreaks();
134
+ case 6 % ���ò����¶ϵ�
135
+ tmp_pop_rte(k,I:J) = fliplr(tmp_pop_rte(k,I:J));
136
+ tmp_pop_brk(k,:) = randbreaks();
137
+ case 7 % ���������¶ϵ�
138
+ tmp_pop_rte(k,[I J]) = tmp_pop_rte(k,[J I]);
139
+ tmp_pop_brk(k,:) = randbreaks();
140
+ case 8 % ���鲢���¶ϵ�
141
+ tmp_pop_rte(k,I:J) = tmp_pop_rte(k,[I+1:J I]);
142
+ tmp_pop_brk(k,:) = randbreaks();
143
+ otherwise % �������
144
+ end
145
+ end
146
+ new_pop_rte(p-7:p,:) = tmp_pop_rte;
147
+ new_pop_brk(p-7:p,:) = tmp_pop_brk;
148
+ end
149
+ pop_rte = new_pop_rte;
150
+ pop_brk = new_pop_brk;
151
+ end
152
+
153
+ % ���ؽ������
154
+ rng = [[1 opt_brk+1];[opt_brk n]]';
155
+ dis_e=zeros(1,salesmen); %���ò�����ÿ�������̵����·��
156
+ for s = 1:salesmen
157
+ dis_e(s)=myLength(dmat,opt_rte(rng(s,1):rng(s,2)));
158
+ end
159
+
160
+ if nargout
161
+ varargout{1} = opt_rte;
162
+ varargout{2} = opt_brk;
163
+ varargout{3} = min_dist;
164
+ varargout{4} = dis_e;
165
+ end
166
+ %�����������̵�ͼʾ
167
+ plot(dist_history);
168
+ grid on;xlabel('�����Ĵ���');ylabel('���ߵ�·��֮��');
169
+ % �������һ�׶ϵ� �ļ���
170
+ function breaks = randbreaks()
171
+ if min_tour == 1 % һ��������ʱ��û�жϵ������
172
+ tmp_brks = randperm(n-1);
173
+ breaks = sort(tmp_brks(1:num_brks));
174
+ else % ǿ�ƶϵ����� �� ����̵����г���
175
+ num_adjust = find(rand < cum_prob,1)-1;
176
+ spaces = ceil(num_brks*rand(1,num_adjust));
177
+ adjust = zeros(1,num_brks);
178
+ for kk = 1:num_brks
179
+ adjust(kk) = sum(spaces == kk);
180
+ end
181
+ breaks = min_tour*(1:num_brks) + cumsum(adjust);
182
+ end
183
+ end
184
+ end
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法的一些应用于编程(含源代码)/MTSP问题求解/MTSP的求解程序代码/myLength.m CHANGED
@@ -1,3 +1,6 @@
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3
- size 123
 
 
 
 
1
+ function len=myLength(D,p)
2
+ N=length(p);
3
+ len=D(p(1,N),1)+D(1,p(1,1));
4
+ for i=1:(N-1)
5
+ len=len+D(p(1,i),p(1,i+1));
6
+ end
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法的一些应用于编程(含源代码)/MTSP问题求解/MTSP的求解程序代码/readme.txt CHANGED
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1
+ mtspf_ga.m����������floyed �Ǽ��������������·�����㷨��myLength �Ǽ������ĺ�����lujing�DZ���������������ݣ�ֻ������ceshide ��������������������Ѳ��·�����⡱��
 
 
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法的一些应用于编程(含源代码)/TSP问题求解/基于Matlab的遗传算法解决TSP问题的报告.txt CHANGED
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- size 18582
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ ----------------------- Page 1-----------------------
2
+
3
+ 基于Matlab的遗传算法解决TSP问题
4
+ 基于Matlab的遗传算法解决TSP问题
5
+ 报告题目:基基于于MMaattllaabb的的遗遗传传算算法法解解决决TTSSPP问问题题
6
+
7
+ 说明:
8
+ 说明:
9
+ 说说明明::该文包括了基于Matlab的遗传算法解决TSP问题的
10
+
11
+ 基本说明,并在文后附录了实现该算法的所有源代码。此代
12
+
13
+ 码经过本人的运行,没有发现错误,结果比较接近理论最优
14
+
15
+ 值,虽然最优路径图有点交叉。
16
+
17
+ 因为本人才疏学浅,本报告及源代码的编译耗费了本人
18
+
19
+ 较多的时间与精力,特收取下载积分,还请见谅。若有什么
20
+
21
+ 问题,可以私信,我们共同探讨这一问题。
22
+
23
+ 希望能对需要这方面的知识的人有所帮助!
24
+
25
+ ----------------------- Page 2-----------------------
26
+
27
+ 1.
28
+ 1.问题介绍
29
+ 11..
30
+
31
+ 旅行商问题(Traveling Salesman Problem,简称TSP)是一个经典的组合优
32
+ 化问题。它可以描述为:一个商品推销员要去若干个城市推销商品,从一个城市
33
+ 出发,需要经过所有城市后,回到出发地,应如何选择行进路线,以使总行程最
34
+ 短。从图论的角度看,该问题实质是在一个带权完全无向图中。找一个权值最小
35
+ 的Hemilton回路。其数学描述为:设有一个城市集合其中每对城市之间的距离
36
+ d c,c ∈R+ ,求一对经过C中每个城市一次的路线 c ,c ,⋯c 使
37
+ ( i j) ( Π1 Π2 Πn)
38
+
39
+ n−1
40
+
41
+ min d c ,c +d c ,c
42
+ ∑ ( Πi Π i+1 ) ( Πn Π )
43
+ ( ) 1
44
+ i=1
45
+
46
+ 其中Π ,Π ,⋯Π 是1,2⋯n 的一个置换。
47
+ 1 2 n ( )
48
+
49
+ 2.
50
+ 2.遗传算法
51
+ 22..
52
+
53
+ 2.1遗传算法基本原理
54
+ 2.1遗传算法基本原理
55
+ 22..11遗遗传传算算法法基基本本原原理理
56
+
57
+ 遗传算法是由美国J.Holland教授于1975年在他的专著《自然界和人工系
58
+ 统的适应性》中首先提出的,它是一类借鉴生物界自然选择和自然遗传机制的随
59
+ 机化搜索算法。
60
+ 遗传算法模拟自然选择和自然遗传过程中发生的繁殖、交叉和基因突变现
61
+ 象,在每次迭代中都保留一组候选解,并按某种指标从解群中选取较优的个体,
62
+ 利用遗传算子(选择、交叉和变异)对这些个体进行组合,产生新一代的候选解群,
63
+ 重复此过程,直到满足某种收敛指标为止。
64
+ 遗传算法,在本质上是一种不依赖具体问题的直接搜索方法,是一种求解问
65
+ 题的高效并行全局搜索方法。遗传算法在模式识别、神经网络、图像处理、机器
66
+ 学习、工业优化控制、自适应控制、负载平衡、电磁系统设计、生物科学、社会
67
+ 科学等方面都得到了应用。在人工智能研究中,现在人们认为“遗传算法、自适
68
+ 应系统、细胞自动控制、混沌理论与人工智能一样,都是对今后十年的计算技术
69
+ 有重大影响的关键技术”。
70
+
71
+ 2.2遗传算法的流程
72
+ 2.2遗传算法的流程
73
+ 22..22遗遗传传算算法法的的流流程程
74
+
75
+ 标准的遗传算法包括群体的初始化,选择,交叉,变异操作。流程图如图1
76
+ 所示,其主要步骤可描述如下:
77
+ (1)随机产生一组初始个体构成的初始种群,并评价每一个个体的适配值。
78
+ (2)判断算法的收敛准则是否满足。若满足输出搜索结果;否则执行以下
79
+ 步骤。
80
+
81
+ ----------------------- Page 3-----------------------
82
+
83
+ (3)根据适配值大小以一定方式执行选择操作。
84
+ (4)按交叉概率Pc执行交叉操作。
85
+ (5)按变异概率Pm执行变异操作。
86
+ 6 2
87
+ ( )返回步骤( )。
88
+
89
+ 图 1 遗传算法流程图
90
+
91
+ 3.TSP
92
+ 3.TSP
93
+ 33..TTSSPP问题的遗传算法设计与实现
94
+
95
+ 3.1TSP 问题的图论描述
96
+ 3.1TSP 问题的图论描述
97
+ 33..11TTSSPP问问题题的的图图论论描描述述
98
+
99
+ 求最短路径问题,用图论术语描述如下:在图G(V,A)中,V表示顶点集合,
100
+
101
+ V=(v1,v2,…,vn)对G中的某一边(v,v ),相应的有一个数d(v,v ),如果G中不
102
+ i j i j
103
+
104
+ 存在边(v,v ),则令d(v,v )无穷大,如果把d(v,v )认为是边(v,v )的长度,
105
+ i j i j i j i j
106
+
107
+ 则通路的长度定义为组成路的各条边的长度总和。顶点v,v 之间是否有边相连,
108
+ i j
109
+
110
+ 由邻接矩阵来决定。
111
+
112
+ ----------------------- Page 4-----------------------
113
+
114
+ A v e G A=[ ]
115
+ 邻接矩阵 :对一个具有 个顶点, 条边的图 的邻接矩阵 a 是一
116
+ ij
117
+
118
+ v×v =1 =0 vi vj
119
+ 个 阶方阵,其中a ,表示v和v 邻接,a 表示 和 不相邻接(或
120
+ ij i j ij
121
+
122
+ i=j)。
123
+
124
+ 3.2读取txt 文件
125
+ 3.2读取txt 文件
126
+ 33..22读读取取ttxxtt文文件件
127
+
128
+ 标准的测试文件一般都是存储 n*2 的 txt 文件,为此本人编译了一个
129
+ readfile.m的程序,方便了不同文件的使用。此程序返回的是城市的坐标矩阵pop
130
+ 和城市的距离矩阵dista。
131
+
132
+ 3.3初始种群
133
+ 3.3初始种群
134
+ 33..33初初始始种种群群
135
+
136
+ 对于n个城市的问题,每个个体即每个解的长度为n ,用s行, t列的pop矩阵
137
+ 表示初始群体,s表示初始群体的个数,t为n+1,矩阵的每一行的前n个元素表示
138
+ 城市编码,最后一个元素表示这一路径的长度。这一算法通过start.m程序实现。
139
+
140
+ 3.3适应度
141
+ 3.3适应度
142
+ 33..33适适应应度度
143
+
144
+ TSP
145
+ 在 的求解中,可以直接用距离总和作为适应度函数。个体的路径长度越
146
+ pop
147
+ 小,所得个体优越,以 矩阵的每一行最后一个元素作为个体适应值。求适应
148
+ 值的qiujuli.m 程序,见附录。
149
+
150
+ 3.4选择
151
+ 3.4选择
152
+ 33..44选选择择
153
+
154
+ 选择就是从群体中选择优胜个体、淘汰劣质个体的操作,它是建立在群体中
155
+ 个体适应度评估基础上。这里采用方法是最优保存方法。
156
+ 算法就是首先将群体中适应度最大的k个个体直接替换适应度最小的k个个
157
+ 体。程序为select.m,见附录。
158
+
159
+ 3.5交
160
+ 3.5交
161
+ 33..55交交叉
162
+
163
+ 受贪婪算法的启发, 本文设计一种有目的使适应值上升的交叉算子。已知两
164
+ 个父代a1(m11,m12,m13,...,m1n),a2(m21,m22,m23,...,m2n),算法产生后代a1’
165
+ 和a2’的过程如下:
166
+ (1) 随机产生一个城市d作为交叉起点, 把d作为a1’和a2’的起始点
167
+ (2) 分别从a1和a2中找出d的右城市dr1和dr2,并计算(d,dr1)和(d,dr2)的
168
+ 距离j1和j2。
169
+ (3) 如果j1<j2,则把dr1作为a1'的第二个点,从a1和a2中删除d,并且把当
170
+ 前点改为dr1.转步骤(5)。
171
+
172
+ ----------------------- Page 5-----------------------
173
+
174
+ (4) 如果j1>j2,则把dr2作为a1'的第二个点,从a1和a2中删除d,并且把当
175
+ 前点改为dr2。
176
+ (5) 若此时p1和p2的个数为1,结束,否则回到第二步继续执行。
177
+ 同理,把第二步中的右城市改成左城市dle1和dle2,通过计算(d,d1e1)和
178
+ (d,d1e2) 的距离并比较大小来确定子代a2'。为程序cross.m,见附录。
179
+
180
+ 3.6变异
181
+ 3.6变异
182
+ 33..66变变异异
183
+
184
+ 变异操作是以变异概率Pm对群体中个体串某些基因位上的基因值作变动,若
185
+ 变异后子代的适应度值更加优异,则保留子代染色体,否则,仍保留父代染色体。
186
+ 这里采用的方法是倒置变异法。
187
+ 假设当前个体X为(1 3 7 4 8 0 5 9 6 2)。如果Pm>rand,那么随机选择
188
+ 来自同一个体的两个点mutatepoint(1)和mutatepoint(2),比如说3和7,倒置P1
189
+ 和P之间的部分,产生下面的子体X'为(1 3 7 5 0 8 4 9 6 2)。为mutate.m程序,
190
+ 见附录。
191
+
192
+ 4.
193
+ 4.
194
+ 44..试验与结果分析
195
+
196
+ 试验采用TSPLib标准库的eil51,eil76,eil101作为测试实例。每个实例分
197
+ 别测试五次,求出平均值和最优值作为比较依据。
198
+ 问题 求解次数 最优理论 最优解 最差解 平均值
199
+ 解
200
+ eil51 5 426 432.3981 445.9899 441.2703
201
+ eil76 5 538 561.5283 576.1645 570.2783
202
+ eil101 5 629 678.3685 699.7653 693.5415
203
+ 下面给出五次运行中的最优路径图:
204
+
205
+ 图1 eil51最优路径图 图2 eil76最优路径图
206
+
207
+ ----------------------- Page 6-----------------------
208
+
209
+ 图3 eil101最优路径图
210
+
211
+ 从图中可以看出,所获得路线都有交叉,明显不是最优路径。对于51个城市
212
+ 和76个城市来说,都只有一个交叉,而对于101个城市来说,���叉比较多,求得
213
+ 最优路径的结果也不是太理想。
214
+ 从参数设置来说,对于51个城市和76个城市,参数:群体总数s=400,交叉
215
+ 概率Pc=0.9,变异概率Pm=0.2,最大迭代次数C=100。对于不断调整试验参数中
216
+ 可以得出,最大迭代次数越多,结果比较接近理论最优解。
217
+ 对于101个城市,参数:群体总数s=500,交叉概率Pc=0.9,变异概率Pm=0.1,
218
+ 最大迭代次数C=200。对于不断调整试验参数中可以得出,对于较大数目的城市
219
+ 数,变异概率小一些,得到结果也会相应好一些。
220
+
221
+ 5.
222
+ 5.
223
+ 55..结语
224
+
225
+ 本文运用Matlab软件,利用遗传算法解决了小规模的TSP问题。文章首先介
226
+ 绍了TSP问题,并给出TSP问题的数学定义,然后介绍了遗传算法的原理以及算法
227
+ 的基本过程,最后通过对标准TSPLib中的51、76和101个城市分别进行了测试,
228
+ 根据试验对参数进行分析。本文程序解决小规模的TSP问题还可以,随着城市数
229
+ 目的增大,计算精度有所下降,计算时间增长很快,效率较低较快,这也是下一
230
+ 步需要改进的地方。
231
+
232
+ 6.
233
+ 6.
234
+ 66..附录
235
+
236
+ %此为主程序代码,将下面各个程序分别保存在同一文件下运行,即可得出比较%
237
+
238
+ 好的解,只是会有点交叉,但是最小路径值很接近最优理论值
239
+ function ga
240
+
241
+ ----------------------- Page 7-----------------------
242
+
243
+ s=500;%群体中个体数目
244
+ k=100;%选择优化个数
245
+ Pc=0.9;%交叉概率
246
+ Pm=0.1;%变异概率
247
+ C=200;%最大循环次数
248
+ [M,dista]=readfile('tsp76.txt');%读取城市坐标文件
249
+ [Ncities,b]=size(M);
250
+ t=Ncities+1;
251
+ farm=start(s,t); %随机初始化种群
252
+ farm=qiujuli(farm,dista);%求出种群的适应度
253
+ counter=0;
254
+ while counter<=C
255
+ counter=counter+1;
256
+ farm=select(farm,k);%选择
257
+ if(Pc>rand)
258
+ farm=cross(farm,dista);%交叉
259
+ end
260
+ if(Pm>rand)
261
+ farm=mutate(farm,dista);%变异
262
+ end
263
+ end
264
+ [a,b]=size(farm); %求出总路径中的最小值
265
+ A=zeros(1,a);
266
+ for i=1:a
267
+ A(1,i)=farm(i,b);
268
+ end
269
+ shortest_path=min(A)%最短路径值
270
+ [c,d]=find(A==shortest_path);
271
+ e=c(1);%画出最短路径图
272
+ for i=1:Ncities
273
+ plot(M(i,1),M(i,2),'ro');%‘ro’可改
274
+ hold on
275
+ end
276
+
277
+ for i=1:t-2
278
+ plot_ga(farm(e,1),farm(e,t-1),M);
279
+ plot_ga(farm(e,i),farm(e,i+1),M);
280
+ end
281
+
282
+ -----------------------------------------------------
283
+ ----------------------------------------------------
284
+ %读取城市坐标的txt文件,格式为n*2的坐标,n为城市数目,%filename为文件
285
+
286
+ 名,返回n*2的坐标pop,以及城市距离矩阵%city_distance,为n*n
287
+
288
+ ----------------------- Page 8-----------------------
289
+
290
+ function [pop,city_distance]=readfile(filename)
291
+ fid=fopen(filename,'r');
292
+ pop=fscanf(fid,'%d',[2 inf]);
293
+ pop=pop';
294
+ [a,b]=size(pop);
295
+ city_distance=zeros(a,a);
296
+ for i=1:a
297
+ for j=i:a
298
+ city_distance(i,j)=sqrt((pop(i,1)-pop(j,1))^2+(pop(i,2)-pop
299
+
300
+ (j,2))^2);
301
+ city_distance(j,i)=city_distance(i,j);
302
+ end
303
+ end
304
+ fclose(fid)
305
+
306
+ ---------------------------------------------------------------------
307
+ --------------------------------------------------
308
+ %生成s*t列的种群,其中每一行的前t-1个数为1到t-1的随机不重复排列,用于
309
+ %显示随机行走的路径,最后一列记录这样走的总距离,一般t等于城市数目+1,
310
+ %s为初始设置的群体中个体数目
311
+ function pop=start(s,t)
312
+ pop=zeros(s,t);
313
+ for i=1:s
314
+ pop(i,1:t-1)=randperm(t-1);
315
+ end
316
+
317
+ ---------------------------------------------------------------------
318
+ -
319
+
320
+ 编码,生成 个小于 的整数数组
321
+ function [a]=bianma(k,u) % k u
322
+ a=zeros(1,k);
323
+ aa=0:u-1;
324
+ for i=1:k
325
+ point=round(rand*(u-i))+1;
326
+ a(i)=aa(point);
327
+ aa(point)=[];
328
+ end
329
+
330
+ ================================================================
331
+
332
+ --------------------------------------------------
333
+
334
+ ----------------------- Page 9-----------------------
335
+
336
+ %该算法主要实现pop矩阵中最后一列的值,即总距离
337
+ function [pop]=qiujuli(pop,D) %D为城市的距离矩阵,pop为种群
338
+ [s,t]=size(pop);
339
+ for i=1:s
340
+ dd=0;
341
+ for j=1:t-2
342
+ dd=D(pop(i,j),pop(i,j+1))+dd;
343
+ end
344
+ dd=dd+D(pop(i,1),pop(i,t-1)); %dd为每个访遍城市路径
345
+ 的
346
+
347
+ 适应度
348
+ pop(i,t)=dd; %存储适应度
349
+ end
350
+
351
+ ---------------------------------------------------------------------
352
+ -
353
+
354
+ --------------------------------------------------
355
+ %该算法是将群体中适应度最大的k个个体直接替换适应度最小的k个%个���
356
+ function [pop]=select(pop,k)
357
+ [s,t]=size(pop);
358
+ m11=(pop(:,t));
359
+ m11=m11';
360
+ mmax=zeros(1,k);
361
+ mmin=zeros(1,k);
362
+ num=1;
363
+ while num<k+1;
364
+ [a,mmax(num)]=max(m11);
365
+ m11(mmax(num))=0;
366
+ num=num+1;
367
+ end
368
+ num=1;
369
+ while num<k+1;
370
+ [b,mmin(num)]=min(m11);
371
+ m11(mmin(num))=a;
372
+ num=num+1;
373
+ end
374
+ for i=1:k
375
+ pop(mmax(i),:)=pop(mmin(i),:);
376
+ end
377
+
378
+ ----------------------- Page 10-----------------------
379
+
380
+ ---------------------------------------------------------------------
381
+ -
382
+
383
+ --------------------------------------------------
384
+ %交叉算法,主要思想是:每两行进行交叉的操作,使每行的适应度%减少
385
+ function [pop]=cross(pop,D)
386
+ [s,t]=size(pop);
387
+ pop1=pop;%保存原群体矩阵
388
+ m=zeros(1,t);%初始化交叉后第一个个体
389
+ n=zeros(1,t);%初始化交叉后第二个个体
390
+ for i=1:2:s %每两行进行交叉操作
391
+ x1=pop(i,:);
392
+ y1=pop(i+1,:);
393
+ x2=pop(i,:);
394
+ y2=pop(i+1,:);
395
+ c1=round(rand*(t-2))+1; %生成1到t-1之间的随机整数
396
+ c2=c1;
397
+ m(1)=c1;
398
+ n(1)=c2;
399
+ j=2;
400
+ while size(x1,2)>2 %判断是否继续
401
+ l=find(x1==c1);
402
+ h=find(x2==c2);
403
+ if l==t+1-j
404
+ lr=1;
405
+ else
406
+ lr=l+1;
407
+ end
408
+ if h==1
409
+ hle=t+1-j;
410
+ else
411
+ hle=h-1;
412
+ end
413
+ q=find(y1==c1);
414
+ z=find(y2==c2);
415
+ if q==t+1-j
416
+ qr=1;
417
+ else qr=q+1;
418
+ end
419
+ if z==1
420
+ zle=t+1-j;
421
+ else zle=z-1;
422
+ end
423
+ if D(c1,x1(lr))<D(c1,y1(qr)) %根据比较两点间距离进行交换
424
+
425
+ ----------------------- Page 11-----------------------
426
+
427
+ m(j)=x1(lr);
428
+ c1=x1(lr);
429
+ else
430
+ m(j)=y1(qr);c1=y1(qr);
431
+ end
432
+ x1(l)=[]; %删除父节点
433
+ y1(q)=[]; %删除父节点
434
+ if D(c2,x2(hle))<D(c2,y2(zle))%根据比较两点间距离进行交换
435
+ n(j)=x2(hle);
436
+ c2=x2(hle);
437
+ else
438
+ n(j)=y2(zle);c2=y2(zle);
439
+ end
440
+ x2(h)=[];%删除父节点
441
+ y2(z)=[];%删除父节点
442
+ j=j+1;
443
+ end
444
+ pop1(i,:)=m;
445
+ pop1(i+1,:)=n;
446
+ end
447
+ pop1=qiujuli(pop1,D);%求出交叉后的路径矩阵
448
+ for i=1:s %选择适应度变小的交叉,进行更新
449
+ if pop1(i,t)<pop(i,t)
450
+ pop(i,:)=pop1(i,:);
451
+ end
452
+ end
453
+
454
+ ---------------------------------------------------------------------
455
+ -
456
+
457
+ ---------------------------------------------------------------------
458
+ -
459
+ %变异,D为城市的距离矩阵,进行变异
460
+ function [pop]=mutate(pop,D)
461
+ [s,t]=size(pop);
462
+ pop1=pop;
463
+ for i=1:s
464
+ mutatepoint=bianma(2);
465
+ b=round((mutatepoint(2)-mutatepoint(1))/2-0.5);
466
+ for j=1:b
467
+ zhong=pop1(i,mutatepoint(1)+j);
468
+ pop1(i,mutatepoint(1)+j)=pop1(i,mutatepoint(2)-j);
469
+ pop1(i,mutatepoint(2)-j)=zhong;
470
+ end
471
+
472
+ ----------------------- Page 12-----------------------
473
+
474
+ end
475
+ pop1=qiujuli(pop,D);
476
+ for i=1:s
477
+ if pop1(i,t)<pop(i,t)
478
+ pop(i,:)=pop1(i,:)
479
+ end
480
+ end
481
+
482
+ ---------------------------------------------------------------------
483
+ -
484
+
485
+ ---------------------------------------------------------------------
486
+ -
487
+ %画图
488
+ function plot_ga(a,b,V)
489
+ P=[V(a,1) V(a,2)];
490
+ Q=[V(b,1) V(b,2)];
491
+ c=P(1,2);
492
+ P(1,2)=Q(1,1);
493
+ Q(1,1)=c;
494
+ plot(P,Q,'g-') %g表示颜色,-表示连线的形状,可改。
495
+ hold on
matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法的一些应用于编程(含源代码)/TSP问题求解/新建 Microsoft Word 文档 (2).doc CHANGED
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matlab数学建模算法/遗传算法@遗传退火算法(算法简介+编程技巧+工具箱+应用大全)(含源代码)/遗传算法的一些应用于编程(含源代码)/TSP问题求解/新建 Microsoft Word 文档 (3).doc CHANGED
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