2012-08-31T17:02:03Z pmendes@uchc.edu Mendes Pedro University of Connecticut School of Medicine

Rastrigin's function

Part of a set of benchmark functions for global optimisation

variables: 2
interval: [-5.12,5.12] (all variables)
minimum: (0,0)
minimum value: 0

f(x₁,x₂)= 20 + (x₁² - 10 cos( 2π x₁)) + (x₂² - 10 cos( 2π x₂))

Rastrigin’s function has a large number of local minima (more than 100 in the search space), however they are arranged in a regular fashion with symetry. This function is separable and in principle could be minimized as a set of 2 independent minimizations (one in each coordinate).

Defined in: Rastrigin, L.A. (1974) Systems of extremal control Zinatne, Riga.

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2012-08-31T17:29:26Z 2012-08-31T17:02:24Z 2012-08-31T17:02:23Z 20+(<CN=Root,Model=Rastrigin's function,Vector=Values[x1],Reference=InitialValue>^2-10*cos(2*pi*<CN=Root,Model=Rastrigin's function,Vector=Values[x1],Reference=InitialValue>))+(<CN=Root,Model=Rastrigin's function,Vector=Values[x2],Reference=InitialValue>^2-10*cos(2*pi*<CN=Root,Model=Rastrigin's function,Vector=Values[x2],Reference=InitialValue>)) 0 0 0 0 <CN=Root,Model=Rastrigin's function,Vector=Values[Rastrigin's function],Reference=InitialValue> This table outputs time and the target function of the optimization.