| Case #
(Instance size) | Non-Linear Model 4EILP-SS | Linear Model 4EILP-SS-L | Saving | | Best found objective function value (Z1) | Elapsed run time (sec) | Best found objective function value (Z2) | Elapsed run time (sec) | Saved Cost | % Saving |
| | ase 1 ( 5-3-5-10) | 523,690 | 5.05 | 499,861 | 2.86 | 23,829 | 4.55% | | ase 2 (5-3-5-10) | 451,963 | 58.68 | 451,021 | 3.92 | 942 | 0.21% | | ase 3 (5-3-5-10) | 589,253 | 490.76 | 589,246 | 42.80 | 7 | 0.00% | | ase 4 (5-3-5-10) | 734,372 | 273.47 | 733,524 | 65.91 | 848 | 0.12% | | ase 5 (5-3-5-10) | 514,842 | 396.13 | 514,842 | 3.64 | 0 | 0.00% | | ase 6 (5-3-5-10) | 506,738 | 13.35 | 505,464 | 11.79 | 1,274 | 0.25% | | ase 7 (5-3-5-10) | 511,549 | 116.7 | 511,549 | 8.71 | 0 | 0.00% | | ase 8 (5-3-5-10) | 517,406 | 98.01 | 517,406 | 10.56 | 0 | 0.00% | | ase 9 (5-3-5-10) | 639,303 | 213.99 | 639,303 | 83.68 | 0 | 0.00% | | ase 10 (5-3-5-10) | 584,845 | 48.24 | 584,845 | 15.37 | 0 | 0.00% | | AVERAGE | 557,396 | 171.44 | 554,706 | 24.92 | | 0.51% |
| | ase 11 (5-3-5-15) | 745,385 | 378.24 | 735,503 | 191.68 | 9,882 | 1.33% | | ase 12 (5-3-5-15) | 811,106 | 92.01 | 727,251 | 88.86 | 83,855 | 10.34% | | ase 13 (5-3-5-15) | 988,571 | 419.46 | 919,670 | 403.44 | 68,901 | 6.97% | | ase 14 (5-3-5-15) | 974,342 | 351.94 | 919,175 | 343.47 | 55,167 | 5.66% | | ase 15 (5-3-5-15) | 833,043 | 900.64 | 832,979 | 90.82 | 64 | 0.01% | | ase 16 (5-3-5-15) | 845,915 | 180.74 | 818,642 | 160.75 | 27,273 | 3.22% | | ase 17 (5-3-5-15) | 735,539 | 98.76 | 735,334 | 92.62 | 205 | 0.03% | | ase 18 (5-3-5-15) | 917,953 | 50.82 | 858,491 | 50.82 | 59,462 | 6.48% | | ase 19 (5-3-5-15) | No solution found | - | 977,396 | 191.88 | - | Only Linear Solution | | ase 20 (5-3-5-15) | 971,726 | 876,959.40 | 855,959 | 150.08 | 115,767 | 11.91% | | AVERAGE | 869,287 | 97,714.66 | 822,556 | 174.73 | | 5.11% |
| | ase 21 (7-3-5-20) | No solution found | - | 1,051,772 | 597.58 | - | Only Linear Solution | | ase 22 (7-3-5-20) | 993,942 | 1,587.54 | 974,498 | 461.08 | 19,444 | 1.96% | | ase 23 (7-3-5-20) | 1,274,019 | 212,939.00 | 1,269,256 | 1,636.17 | 4,763 | 0.37% | | ase 24 (7-3-5-20) | 1,285,862 | 1,636.40 | 1,268,819 | 1,454.15 | 17,043 | 1.33% | | ase 25 (7-3-5-20) | No solution found | - | 1,062,143 | 1,986.87 | - | Only Linear Solution | | ase 26 (7-3-5-20) | 1,051,350 | 16,621.00 | 1,051,299 | 859.15 | 51 | 0.00% | | ase 27 (7-3-5-20) | 976,769 | 3,850.00 | 974,422 | 589.93 | 2,347 | 0.24% | | ase 28 (7-3-5-20) | 1,112,979 | 28,959.00 | 1,112,397 | 611.73 | 582 | 0.05% | | ase 29 (7-3-5-20) | No solution found | - | 1,221,641 | 1,374.21 | - | Only Linear Solution | | ase 30 (7-3-5-20) | No solution found | - | 1,269,527 | 693.48 | - | Only Linear Solution | | AVERAGE | 1,115,820 | 44,265.49 | 1,108,449 | 935.37 | | 0.66% |
| | ase 31 (10-3-5-20) | 980,256 | 4,228.34 | 979,306 | 2,829.46 | 950 | 0.10% | | ase 32 (10-3-5-20) | 831,262 | 3,300.00 | 831,094 | 1,531.48 | 168 | 0.02% | | ase 33 (10-3-5-20) | 1,106,338 | 6,568.55 | 1,106,338 | 3,234.91 | 0 | 0.00% | | ase 34 (10-3-5-20) | No solution found | - | 1,108,531 | 2,508.82 | - | Only Linear Solution | | ase 35 (10-3-5-20) | No solution found | - | 1,050,292 | 1,279.51 | - | Only Linear Solution | | ase 36 (10-3-5-20) | 975,718 | 1,786.84 | 975,705 | 3,503.63 | 13 | 0.00% | | ase 37 (10-3-5-20) | 845,102 | 3,327.00 | 824,554 | 594.98 | 20,548 | 2.43% | | ase 38 (10-3-5-20) | No solution found | - | 976,929 | 1,151.09 | - | Only Linear Solution | | ase 39 (10-3-5-20) | No solution found | - | 1,109,935 | 3,214.58 | - | Only Linear Solution | | ase 40 (10-3-5-20) | No solution found | - | 1,109,484 | 3,532.16 | - | Only Linear Solution | | AVERAGE | 947,735 | 3,842.15 | 943,399 | 2,338.89 | | 0.51% |
| | ase 41 (10-3-5-25) | 1,270,846 | 923.97 | 1,270,708 | 982.18 | 138 | 0.01% | | ase 42 (10-3-5-25) | No solution found | - | 1,106,664 | 1381.60 | - | Only Linear Solution | | ase 43 (10-3-5-25) | 1,281,643 | 8,552.48 | 1,278,946 | 4,756.29 | 2,697 | 0.21% | | ase 44 (10-3-5-25) | 1,280,408 | 2,266.26 | 1,280,802 | 3,530.13 | -394 | -0.03% | | ase 45 (10-3-5-25) | 1,417,022 | 6,783.66 | 1,266,151 | 3,295.30 | 150,871 | 10.65% | | ase 46 (10-3-5-25) | 1,140,753 | 8,476.40 | 1,130,751 | 819.56 | 10,002 | 0.88% | | ase 47 (10-3-5-25) | No solution found | - | 1,127,784 | 1,273.77 | - | Only Linear Solution | | ase 48 (10-3-5-25) | No solution found | - | 1,433,556 | 7,271.13 | - | Only Linear Solution | | ase 49 (10-3-5-25) | No solution found | - | 1,277,243 | 3,500.21 | - | Only Linear Solution | | ase 50 (10-3-5-25) | 1,268,140 | 7,441.08 | 1,266,054 | 954.83 | 2,086 | 0.16% | | AVERAGE | 1,276,469 | 5,740.64 | 1,248,902 | 2,389.72 | | 2.38% |
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