Research Article
Variable Neighbourhood Search and Mathematical Programming for Just-in-Time Job-Shop Scheduling Problem
Table 2
Results for instances with 15 jobs.
| Instance | LB [4] | UB [4] | CP [5] | EA/LS/MP [6] | VNS/MP |
| I-15-2-tight-equal-1 | 3316 | 3559 | 3641.19 | 3344.54 | 3344.54 | I-15-2-tight-equal-2 | 1449 | 1579 | 1534.12 | 1480.97 | 1479.76 | I-15-5-tight-equal-1 | 1052 | 1663 | 1504.04 | 1369.78 | 1402.99 | I-15-5-tight-equal-2 | 1992 | 2989 | 2993.50 | 2728.02 | 2693.24 | I-15-10-tight-equal-1 | 4389 | 8381 | 8189.70 | 7340.27 | 7395.36 | I-15-10-tight-equal-2 | 3539 | 7039 | 5536.07 | 5399.20 | 6018.21 |
| I-15-2-loose-equal-1 | 1032 | 1142 | 1249.68 | 1041.70 | 1041.70 | I-15-2-loose-equal-2 | 490 | 520 | 524.10 | 506.44 | 497.97 | I-15-5-loose-equal-1 | 2763 | 4408 | 3745.96 | 3267.79 | 3302.61 | I-15-5-loose-equal-2 | 2818 | 4023 | 3397.42 | 3441.69 | 3760.00 | I-15-10-loose-equal-1 | 758 | 1109 | 1033.06 | 1078.93 | 986.43 | I-15-10-loose-equal-2 | 1242 | 2256 | 1792.67 | 1996.26 | 1563.03 |
| I-15-2-tight-tard-1 | 786 | 913 | 835.52 | 790.61 | 790.50 | I-15-2-tight-tard-2 | 886 | 956 | 947.17 | 905.73 | 905.37 | I-15-5-tight-tard-1 | 1014 | 1538 | 1530.96 | 1389.81 | 1405.01 | I-15-5-tight-tard-2 | 626 | 843 | 775.01 | 712.50 | 732.15 | I-15-10-tight-tard-1 | 649 | 972 | 921.67 | 926.22 | 813.46 | I-15-10-tight-tard-2 | 955 | 1656 | 1663.05 | 1304.27 | 1459.33 |
| I-15-2-loose-tard-1 | 650 | 730 | 666.37 | 655.35 | 654.84 | I-15-2-loose-tard-2 | 278 | 310 | 336.48 | 291.68 | 293.17 | I-15-5-loose-tard-1 | 1098 | 1723 | 1478.97 | 1315.53 | 1396.54 | I-15-5-loose-tard-2 | 314 | 374 | 401.65 | 396.14 | 396.06 | I-15-10-loose-tard-1 | 258 | 312 | 300.11 | 356.26 | 282.35 | I-15-10-loose-tard-2 | 476 | 855 | 658.90 | 710.55 | 778.40 |
| Sum of best solutions | ā | 1 | 1 | 12 | 12 |
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