Research Article
Variable Neighbourhood Search and Mathematical Programming for Just-in-Time Job-Shop Scheduling Problem
Table 3
Results for instances with 20 jobs.
| Instance | LB [4] | UB [4] | CP [5] | EA/LS/MP [6] | VNS/MP |
| I-20-2-tight-equal-1 | 1901 | 2008 | 2115.58 | 1940.30 | 1941.18 | I-20-2-tight-equal-2 | 912 | 1014 | 1104.20 | 948.86 | 943.70 | I-20-5-tight-equal-1 | 2506 | 3090 | 3349.28 | 2933.28 | 2853.31 | I-20-5-tight-equal-2 | 5817 | 7537 | 7883.50 | 6915.06 | 7038.92 | I-20-10-tight-equal-1 | 6708 | 12951 | 14004.90 | 10520.40 | 11663.30 | I-20-10-tight-equal-2 | 5705 | 9435 | 8535.88 | 7451.68 | 7201.05 |
| I-20-2-loose-equal-1 | 2546 | 2708 | 2789.07 | 2551.60 | 2550.53 | I-20-2-loose-equal-2 | 3013 | 3318 | 3386.88 | 3109.29 | 3213.52 | I-20-5-loose-equal-1 | 6697 | 9697 | 9481.56 | 7646.90 | 8231.23 | I-20-5-loose-equal-2 | 6017 | 8152 | 8835.72 | 7294.50 | 7642.51 | I-20-10-loose-equal-1 | 3538 | 6732 | 6101.67 | 5022.49 | 5753.52 | I-20-10-loose-equal-2 | 1344 | 2516 | 1963.05 | 1984.47 | 1816.53 |
| I-20-2-tight-tard-1 | 1515 | 1913 | 1892.22 | 1682.72 | 1685.84 | I-20-2-tight-tard-2 | 1375 | 1594 | 1704.26 | 1457.13 | 1452.05 | I-20-5-tight-tard-1 | 3244 | 4147 | 4067.73 | 3640.00 | 3990.04 | I-20-5-tight-tard-2 | 1633 | 1916 | 2040.70 | 1873.80 | 1911.91 | I-20-10-tight-tard-1 | 3003 | 5968 | 5125.88 | 4778.16 | 5290.52 | I-20-10-tight-tard-2 | 2740 | 3788 | 3938.51 | 3270.09 | 3491.52 |
| I-20-2-loose-tard-1 | 1194 | 1271 | 1409.73 | 1206.97 | 1204.92 | I-20-2-loose-tard-2 | 735 | 857 | 907.60 | 774.22 | 788.36 | I-20-5-loose-tard-1 | 2524 | 3377 | 4015.62 | 2973.23 | 3720.83 | I-20-5-loose-tard-2 | 3060 | 5014 | 4539.36 | 3654.86 | 3719.80 | I-20-10-loose-tard-1 | 2462 | 6237 | 7287.00 | 5100.46 | 6169.68 | I-20-10-loose-tard-2 | 1226 | 1830 | 1727.88 | 1634.58 | 1588.70 |
| Sum of best solutions | ā | 0 | 0 | 16 | 8 |
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