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PFSP PROBLEM 0 - COMPLETE ANALYSIS REPORT |
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Generated at: 2026-03-24 05:15:18 |
Problem Type: Permutation Flow Shop Problem (PFSP) |
Problem Size: 100 Jobs × 5 Machines |
Real Optimal Makespan: 10565 |
Generation Time: 414.17 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 |
🏆 BEST PFSP SOLUTION ANALYSIS |
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✅ Best Solution: Sequence 3 |
✅ Best Makespan: 10659 |
📊 Gap from Optimal: 0.89% |
⏱️ Calculation Status: Valid |
🔥 Best Job Permutation: J58 J7 J55 J84 J95 J80 J71 J52 J73 J68 J83 J89 J93 J75 J17 J86 J98 J15 J57 J38 J46 J32 J28 J85 J35 J30 J37 J49 J3 J43 J33 J92 J21 J62 J6 J74 J90 J11 J42 J64 J25 J40 J53 J4 J20 J1 J12 J82 J16 J27 J31 J76 J51 J0 J39 J48 J60 J5 J94 J91 J97 J18 J34 J41 J87 J36 J9 J77 J23 J65 J54 J22 J67 J88 J13 J19... |
📋 This permutation applies to ALL machines (PFSP constraint) |
📋 BEST PFSP SOLUTION DETAILED SCHEDULE: |
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🎯 Final PFSP Makespan: 10659 |
📊 ALL PFSP SOLUTIONS SUMMARY |
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Sequence 1: Makespan=10781, Gap=0.02%, ✅ Valid |
Sequence 2: Makespan=10882, Gap=0.03%, ✅ Valid |
Sequence 3: Makespan=10659, Gap=0.01%, ✅ Valid (🏆 BEST) |
Sequence 4: Makespan=10784, Gap=0.02%, ✅ Valid |
Sequence 5: Makespan=10740, Gap=0.02%, ✅ Valid |
Sequence 6: Makespan=10665, Gap=0.01%, ✅ Valid |
Sequence 7: Makespan=10711, Gap=0.01%, ✅ Valid |
Sequence 8: Makespan=10665, Gap=0.01%, ✅ Valid |
Sequence 9: Makespan=10745, Gap=0.02%, ✅ Valid |
Sequence 10: Makespan=10665, Gap=0.01%, ✅ Valid |
Sequence 11: Makespan=10764, Gap=0.02%, ✅ Valid |
Sequence 12: Makespan=10680, Gap=0.01%, ✅ Valid |
Sequence 13: Makespan=10821, Gap=0.02%, ✅ Valid |
Sequence 14: Makespan=10920, Gap=0.03%, ✅ Valid |
Sequence 15: Makespan=10766, Gap=0.02%, ✅ Valid |
Sequence 16: Makespan=10664, Gap=0.01%, ✅ Valid |
Sequence 17: Makespan=10717, Gap=0.01%, ✅ Valid |
Sequence 18: Makespan=10834, Gap=0.03%, ✅ Valid |
Sequence 19: Makespan=10840, Gap=0.03%, ✅ Valid |
Sequence 20: Makespan=10669, Gap=0.01%, ✅ Valid |
📈 PFSP STATISTICS SUMMARY |
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Success Rate: 20/20 (100.0%) |
Best Valid Makespan: 10659 |
Worst Valid Makespan: 10920 |
Average Valid Makespan: 10748.60 |
Standard Deviation: 77.65 |
🔍 DETAILED PFSP SCHEDULES FOR VALID SOLUTIONS |
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--- PFSP SOLUTION 1 (Makespan: 10781) --- |
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🔥 Job Permutation: J7 J58 J55 J84 J80 J95 J52 J68 J89 J66 J2 J86 J98 J32 J30 J73 J83 J75 J57 J93 J17 J70 J15 J46 J3 J74 J38 J85 J43 J62 J35 J6 J37 J90 J42 J47 J92 J31 J64 J21 J14 J82 J1 J11 J78 J99 J27 J76 J51 J5 J12 J16 J53 J20 J60 J4 J39 J18 J91 J97 J94 J23 J69 J48 J40 J26 J34 J87 J22 J54 J77 J9 J72 J65 J41 J88 J67 ... |
📋 This order applies to ALL machines (PFSP permutation constraint) |
PFSP 스케줄링 정보를 찾을 수 없습니다. |
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--- PFSP SOLUTION 2 (Makespan: 10882) --- |
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🔥 Job Permutation: J58 J7 J84 J95 J55 J80 J68 J71 J45 J89 J73 J66 J83 J15 J75 J17 J57 J98 J32 J38 J93 J86 J46 J3 J6 J74 J92 J85 J81 J56 J47 J35 J90 J70 J21 J62 J78 J43 J37 J42 J12 J31 J99 J5 J64 J82 J4 J1 J51 J94 J26 J16 J76 J60 J27 J23 J53 J20 J18 J11 J91 J39 J97 J54 J48 J34 J77 J88 J41 J69 J87 J65 J36 J72 J40 J9 J96... |
📋 This order applies to ALL machines (PFSP permutation constraint) |
PFSP 스케줄링 정보를 찾을 수 없습니다. |
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--- PFSP SOLUTION 3 (Makespan: 10659) --- |
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🔥 Job Permutation: J58 J7 J55 J84 J95 J80 J71 J52 J73 J68 J83 J89 J93 J75 J17 J86 J98 J15 J57 J38 J46 J32 J28 J85 J35 J30 J37 J49 J3 J43 J33 J92 J21 J62 J6 J74 J90 J11 J42 J64 J25 J40 J53 J4 J20 J1 J12 J82 J16 J27 J31 J76 J51 J0 J39 J48 J60 J5 J94 J91 J97 J18 J34 J41 J87 J36 J9 J77 J23 J65 J54 J22 J67 J88 J13 J19 J44 ... |
📋 This order applies to ALL machines (PFSP permutation constraint) |
PFSP 스케줄링 정보를 찾을 수 없습니다. |
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--- PFSP SOLUTION 4 (Makespan: 10784) --- |
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🔥 Job Permutation: J7 J71 J55 J58 J95 J84 J80 J52 J68 J83 J89 J2 J98 J17 J86 J30 J57 J75 J46 J93 J32 J14 J85 J3 J56 J43 J92 J15 J74 J47 J99 J70 J25 J62 J78 J90 J64 J42 J35 J1 J11 J21 J27 J82 J37 J31 J12 J16 J76 J20 J53 J91 J94 J60 J5 J26 J23 J48 J4 J39 J18 J87 J97 J54 J44 J77 J22 J72 J41 J9 J65 J96 J67 J88 J36 J34 J69... |
📋 This order applies to ALL machines (PFSP permutation constraint) |
PFSP 스케줄링 정보를 찾을 수 없습니다. |
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--- PFSP SOLUTION 5 (Makespan: 10740) --- |
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