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PFSP PROBLEM 0 - COMPLETE ANALYSIS REPORT |
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Generated at: 2026-04-03 03:02:32 |
Problem Type: Permutation Flow Shop Problem (PFSP) |
Problem Size: 20 Jobs × 5 Machines |
Real Optimal Makespan: 1278 |
Generation Time: 268.55 seconds |
Total Solutions Generated: 20 |
Valid Solutions: 20/20 (100.0%) |
🔥 PFSP PERMUTATION CONSTRAINT VERIFICATION |
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PFSP Key Constraint: All machines must process jobs in the SAME order |
✅ If Job A precedes Job B on Machine 0, then Job A must precede Job B on ALL machines |
✅ All jobs follow the same machine sequence: M0 → M1 → M2 → ... → Mn-1 |
📊 ALL PFSP SOLUTIONS SUMMARY |
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📈 PFSP STATISTICS SUMMARY |
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Success Rate: 20/20 (100.0%) |
🔍 DETAILED PFSP SCHEDULES FOR VALID SOLUTIONS |
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🔍 RAW LLM OUTPUTS SUMMARY (PFSP) |
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--- Generated PFSP Sequence 1 --- |
Job permutation: J18 → J4 → J0 → J8 → J5 → J9 → J1 → J10 → J7 → J2 → J11 → J12 → J6 → J3 → J15 → J19 → J17 → J14 → J13 → J45 → J20 → J49 → J22 → J31 → J35 → J23 → J43 → J21 → J26 → J40 → J30 → J39 → J32 → J25 → J48 → J34 → J41 → J36 → J47 → J42 → J29 → J28 → J44 → J24 → J33 → J37 → J27 → J38 → J46 → J16 |
Makespan: 10451 |
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--- Generated PFSP Sequence 2 --- |
Job permutation: J18 → J4 → J6 → J7 → J5 → J10 → J0 → J9 → J11 → J8 → J15 → J2 → J14 → J13 → J17 → J12 → J3 → J25 → J16 → J19 → J21 → J35 → J22 → J37 → J39 → J43 → J20 → J23 → J47 → J42 → J26 → J45 → J46 → J36 → J49 → J24 → J30 → J40 → J33 → J32 → J34 → J38 → J44 → J28 → J31 → J48 → J27 → J29 → J41 → J1 |
Makespan: 10877 |
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--- Generated PFSP Sequence 3 --- |
Job permutation: J6 → J7 → J9 → J8 → J0 → J18 → J4 → J5 → J15 → J11 → J10 → J17 → J19 → J3 → J13 → J1 → J14 → J12 → J16 → J2 → J26 → J25 → J21 → J23 → J33 → J22 → J31 → J20 → J32 → J42 → J47 → J35 → J36 → J28 → J30 → J37 → J46 → J48 → J24 → J43 → J49 → J45 → J27 → J40 → J44 → J38 → J41 → J29 → J39 → J34 |
Makespan: 11255 |
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--- Generated PFSP Sequence 4 --- |
Job permutation: J7 → J18 → J13 → J0 → J6 → J10 → J9 → J5 → J4 → J15 → J2 → J11 → J3 → J14 → J17 → J1 → J12 → J8 → J16 → J19 → J36 → J46 → J21 → J22 → J37 → J39 → J20 → J25 → J23 → J24 → J41 → J26 → J44 → J28 → J42 → J43 → J34 → J27 → J32 → J40 → J48 → J45 → J31 → J49 → J38 → J29 → J47 → J35 → J30 → J33 |
Makespan: 10551 |
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--- Generated PFSP Sequence 5 --- |
Job permutation: J13 → J7 → J0 → J4 → J5 → J10 → J6 → J3 → J12 → J9 → J11 → J18 → J8 → J1 → J2 → J17 → J14 → J16 → J15 → J37 → J21 → J20 → J30 → J35 → J19 → J38 → J26 → J23 → J22 → J32 → J33 → J47 → J39 → J46 → J44 → J25 → J42 → J31 → J34 → J40 → J48 → J45 → J43 → J49 → J41 → J28 → J24 → J27 → J36 → J29 |
Makespan: 10449 |
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--- Generated PFSP Sequence 6 --- |
Job permutation: J18 → J7 → J6 → J4 → J5 → J10 → J9 → J11 → J13 → J19 → J15 → J8 → J3 → J17 → J16 → J14 → J12 → J0 → J1 → J33 → J2 → J48 → J46 → J20 → J31 → J44 → J35 → J21 → J43 → J28 → J23 → J27 → J37 → J47 → J36 → J22 → J30 → J25 → J32 → J40 → J26 → J34 → J38 → J42 → J24 → J49 → J41 → J45 → J29 → J39 |
Makespan: 10731 |
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--- Generated PFSP Sequence 7 --- |
Job permutation: J18 → J13 → J8 → J7 → J9 → J0 → J5 → J4 → J2 → J6 → J19 → J3 → J15 → J12 → J10 → J11 → J17 → J14 → J26 → J16 → J43 → J21 → J22 → J47 → J37 → J44 → J31 → J38 → J28 → J33 → J32 → J23 → J34 → J49 → J35 → J20 → J40 → J45 → J39 → J25 → J30 → J41 → J29 → J48 → J42 → J36 → J24 → J46 → J27 → J1 |
Makespan: 11145 |
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--- Generated PFSP Sequence 8 --- |
Job permutation: J7 → J4 → J18 → J5 → J6 → J9 → J0 → J11 → J10 → J8 → J12 → J19 → J13 → J3 → J2 → J1 → J17 → J15 → J35 → J20 → J14 → J26 → J22 → J16 → J31 → J23 → J21 → J33 → J42 → J43 → J38 → J45 → J25 → J37 → J29 → J34 → J32 → J39 → J40 → J28 → J36 → J41 → J44 → J30 → J27 → J24 → J47 → J48 → J46 → J49 |
Makespan: 10935 |
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--- Generated PFSP Sequence 9 --- |
Job permutation: J7 → J8 → J18 → J0 → J9 → J5 → J4 → J13 → J6 → J19 → J17 → J2 → J10 → J3 → J15 → J11 → J12 → J14 → J16 → J43 → J20 → J37 → J47 → J24 → J39 → J26 → J36 → J46 → J30 → J22 → J32 → J1 → J35 → J34 → J29 → J23 → J28 → J21 → J44 → J45 → J31 → J41 → J25 → J40 → J27 → J42 → J33 → J48 → J38 → J49 |
Makespan: 10973 |
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--- Generated PFSP Sequence 10 --- |
Job permutation: J18 → J7 → J4 → J9 → J0 → J13 → J6 → J5 → J11 → J10 → J19 → J15 → J3 → J12 → J17 → J2 → J1 → J14 → J16 → J8 → J37 → J49 → J20 → J35 → J39 → J36 → J38 → J33 → J28 → J31 → J22 → J30 → J24 → J23 → J46 → J21 → J25 → J26 → J34 → J43 → J40 → J32 → J44 → J45 → J48 → J27 → J47 → J41 → J42 → J29 |
Makespan: 10832 |
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--- Generated PFSP Sequence 11 --- |
Job permutation: J18 → J4 → J7 → J0 → J9 → J5 → J8 → J10 → J11 → J6 → J3 → J2 → J19 → J15 → J12 → J17 → J14 → J13 → J16 → J42 → J26 → J32 → J25 → J20 → J39 → J21 → J36 → J34 → J49 → J22 → J28 → J41 → J40 → J47 → J31 → J30 → J44 → J23 → J48 → J45 → J24 → J33 → J38 → J43 → J29 → J46 → J37 → J35 → J27 → J1 |
Makespan: 10883 |
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--- Generated PFSP Sequence 12 --- |
Job permutation: J18 → J4 → J9 → J0 → J6 → J7 → J5 → J10 → J3 → J19 → J8 → J17 → J2 → J15 → J11 → J1 → J12 → J13 → J14 → J16 → J20 → J47 → J25 → J28 → J22 → J46 → J24 → J39 → J21 → J26 → J43 → J27 → J36 → J40 → J23 → J44 → J29 → J49 → J34 → J41 → J32 → J35 → J31 → J30 → J45 → J38 → J37 → J48 → J33 → J42 |
Makespan: 10529 |
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--- Generated PFSP Sequence 13 --- |
Job permutation: J0 → J4 → J5 → J18 → J6 → J9 → J8 → J7 → J10 → J11 → J15 → J19 → J3 → J13 → J17 → J12 → J14 → J16 → J2 → J22 → J35 → J46 → J1 → J27 → J39 → J38 → J37 → J23 → J33 → J31 → J32 → J43 → J21 → J41 → J44 → J49 → J29 → J42 → J28 → J36 → J24 → J25 → J40 → J48 → J47 → J20 → J26 → J45 → J34 → J30 |
Makespan: 11046 |
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--- Generated PFSP Sequence 14 --- |
Job permutation: J18 → J7 → J4 → J5 → J9 → J10 → J11 → J8 → J0 → J6 → J15 → J3 → J12 → J1 → J13 → J2 → J19 → J17 → J14 → J38 → J41 → J21 → J22 → J26 → J20 → J30 → J23 → J31 → J42 → J45 → J28 → J40 → J47 → J24 → J43 → J37 → J44 → J35 → J33 → J49 → J29 → J32 → J34 → J48 → J36 → J39 → J25 → J27 → J46 → J16 |
Makespan: 11249 |
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--- Generated PFSP Sequence 15 --- |
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