Research Article
A Location-Inventory-Routing Problem in Forward and Reverse Logistics Network Design
Table 1
Computational results on CLRP benchmarks.
| Problem | | | | BKS | TS | NTS | DEV | UB | Gap | Time | UB | Gap | Time |
| P1 | 20 | 5 | 70 | 54793 | 54793 | 0.00 | 0.12 | 54793 | 0.00 | 0.49 | 0.00 | P2 | 20 | 5 | 150 | 39104 | 39104 | 0.00 | 0.12 | 39104 | 0.00 | 0.69 | 0.00 | P3 | 20 | 5 | 70 | 48908 | 48908 | 0.00 | 0.50 | 48908 | 0.00 | 0.53 | 0.00 | P4 | 20 | 5 | 150 | 37542 | 37611 | 0.18 | 0.37 | 37611 | 0.18 | 0.74 | 0.00 | P5 | 50 | 5 | 70 | 90111 | 90806 | 0.77 | 2.58 | 90461 | 0.39 | 3.35 | −0.38 | P6 | 50 | 5 | 150 | 63242 | 65010 | 2.80 | 10.43 | 63242 | 0.00 | 11.73 | −2.80 | P7 | 50 | 5 | 70 | 88298 | 89688 | 1.57 | 22.07 | 88643 | 0.39 | 23.94 | −1.18 | P8 | 50 | 5 | 150 | 67340 | 68071 | 1.09 | 7.48 | 67340 | 0.00 | 11.16 | −1.09 | P9 | 50 | 5 | 70 | 84055 | 84227 | 0.20 | 14.13 | 84110 | 0.07 | 16.96 | −0.13 | P10 | 50 | 5 | 150 | 51822 | 51902 | 0.15 | 10.21 | 51883 | 0.12 | 13.49 | −0.03 | P11 | 50 | 5 | 70 | 86203 | 86223 | 0.02 | 9.20 | 86203 | 0.00 | 14.71 | −0.02 | P12 | 50 | 5 | 150 | 61830 | 61978 | 0.24 | 19.54 | 61830 | 0.00 | 21.49 | −0.24 | P13 | 100 | 5 | 70 | 275993 | 281229 | 1.90 | 11.51 | 278926 | 1.05 | 38.41 | −0.85 | P14 | 100 | 5 | 150 | 214392 | 218886 | 2.10 | 9.52 | 216802 | 1.11 | 29.74 | −0.99 | P15 | 100 | 5 | 70 | 194598 | 196587 | 1.02 | 145.25 | 196436 | 0.94 | 95.16 | −0.08 | P16 | 100 | 5 | 150 | 157173 | 159244 | 1.32 | 180.38 | 158720 | 0.97 | 124.63 | −0.35 | P17 | 100 | 5 | 70 | 200246 | 203297 | 1.52 | 126.12 | 202682 | 1.20 | 110.85 | −0.32 | P18 | 100 | 5 | 150 | 152586 | 157859 | 3.46 | 122.47 | 156049 | 2.22 | 105.26 | −1.24 | P19 | 100 | 10 | 70 | 290429 | 334486 | 15.17 | 97.80 | 294774 | 1.47 | 143.2 | −13.70 | P20 | 100 | 10 | 150 | 234641 | 285303 | 21.59 | 75.87 | 236217 | 0.67 | 113.6 | −20.92 | P21 | 100 | 10 | 70 | 244265 | 257455 | 5.40 | 103.49 | 248003 | 1.51 | 139.85 | −3.89 | P22 | 100 | 10 | 150 | 203988 | 216253 | 6.01 | 69.65 | 208455 | 2.14 | 107 | −3.87 | P23 | 100 | 10 | 70 | 253344 | 291153 | 14.92 | 169.98 | 258221 | 1.89 | 153.53 | −13.03 | P24 | 100 | 10 | 150 | 204597 | 220528 | 7.79 | 67.06 | 209390 | 2.29 | 131.52 | −5.50 | P25 | 200 | 10 | 70 | 479425 | 518815 | 8.22 | 347.64 | 491097 | 2.43 | 554.88 | −5.79 | P26 | 200 | 10 | 150 | 378773 | 408401 | 7.82 | 469.61 | 384126 | 1.39 | 799.75 | −6.43 | P27 | 200 | 10 | 70 | 450468 | 494247 | 9.72 | 491.36 | 461810 | 2.46 | 1101.8 | −7.26 | P28 | 200 | 10 | 150 | 374435 | 396998 | 6.03 | 339.17 | 380004 | 1.47 | 775.62 | −4.56 | P29 | 200 | 10 | 70 | 472898 | 485672 | 2.70 | 397.96 | 479708 | 1.42 | 776.73 | −1.28 | P30 | 200 | 10 | 150 | 364178 | 374923 | 2.95 | 358.23 | 372971 | 2.36 | 919.82 | −0.59 |
| Average | | | 4.22 | 122.66 | | 1.00 | 211.35 | −3.22 |
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