Research Article
A Hybrid Approach to Solve a Model of Closed-Loop Supply Chain
Table 7
Result of objective function in different sizes.
| Test number | | | | | | | PHGF | EHGF | ISHGF | WHGF | GA | FF |
| Small size | 1 | 3 | 2 | 4 | 3 | 3 | 3 | 393576 | 393576 | 393576 | 393576 | 393576 | 393576 | 2 | 4 | 3 | 5 | 3 | 4 | 5 | 698845 | 698845 | 698845 | 698845 | 698845 | 698845 | 3 | 5 | 5 | 3 | 4 | 3 | 6 | 1067536 | 1064270 | 1064270 | 1065080 | 1068635 | 1067054 | 4 | 6 | 6 | 6 | 7 | 5 | 7 | 2158435 | 2148399 | 2148399 | 2201551 | 2399887 | 2202546 | 5 | 7 | 7 | 5 | 8 | 6 | 8 | 2858856 | 2814122 | 2748879 | 2857432 | 2987687 | 2976654 | 6 | 8 | 7 | 5 | 9 | 8 | 9 | 3636078 | 3607543 | 3606396 | 3767543 | 3896554 | 3865543 | 7 | 9 | 9 | 8 | 7 | 8 | 10 | 2158435 | 2158356 | 2148399 | 2201551 | 2376787 | 2259767 | 8 | 10 | 7 | 5 | 8 | 6 | 8 | 2858856 | 2814122 | 2748879 | 2857432 | 2976543 | 2905532 | 9 | 11 | 8 | 8 | 6 | 5 | 6 | 1742796 | 1684336 | 1678985 | 1701216 | 1865443 | 1801216 | 10 | 12 | 7 | 6 | 8 | 5 | 8 | 2737472 | 2719836 | 2700264 | 2735864 | 2865534 | 2798755 |
| Medium size | 11 | 15 | 18 | 14 | 18 | 17 | 15 | 10996158 | 10979629 | 9774905 | 11995749 | 12924442 | 11952525 | 12 | 16 | 14 | 15 | 16 | 15 | 12 | 8712242 | 8739928 | 8503092 | 8770480 | 10765551 | 10655449 | 13 | 16 | 18 | 14 | 16 | 18 | 17 | 8156921 | 8006446 | 7509688 | 8175722 | 10678656 | 10654548 | 14 | 17 | 13 | 17 | 12 | 17 | 13 | 7806508 | 7906765 | 7455443 | 7894554 | 11677166 | 10766156 | 15 | 17 | 17 | 16 | 14 | 18 | 12 | 9793332 | 9845677 | 9325596 | 9776563 | 10976546 | 10617665 | 16 | 18 | 19 | 15 | 15 | 12 | 14 | 9607417 | 9635377 | 9066544 | 9795875 | 11987761 | 11276765 | 17 | 18 | 13 | 15 | 13 | 18 | 15 | 8977340 | 8764466 | 8053433 | 8657933 | 11876764 | 12487765 | 18 | 20 | 25 | 24 | 23 | 22 | 25 | 20929984 | 20719064 | 13421243 | 21928467 | 29988761 | 28866554 | 19 | 21 | 22 | 25 | 22 | 21 | 20 | 19332874 | 19664777 | 13766436 | 19147367 | 27745443 | 26876547 | 20 | 22 | 20 | 24 | 23 | 22 | 25 | 20968413 | 21013803 | 13613456 | 22022560 | 30989866 | 29977543 | 21 | 23 | 24 | 25 | 22 | 20 | 22 | 21257583 | 22043677 | 14075544 | 22290761 | 30445545 | 29998977 | 22 | 24 | 22 | 24 | 24 | 24 | 23 | 24156236 | 24477472 | 14154453 | 25276767 | 31766544 | 30243311 | 23 | 25 | 25 | 24 | 23 | 25 | 25 | 25132359 | 25632467 | 14879885 | 27698700 | 30775450 | 29131425 | 24 | 27 | 28 | 25 | 22 | 26 | 21 | 23524389 | 20556578 | 14079875 | 23035363 | 28765433 | 27875432 |
| Large size | 25 | 40 | 30 | 20 | 30 | 20 | 30 | 39350882 | 38687623 | 16568206 | 39137465 | 45243073 | 44897765 | 26 | 50 | 35 | 25 | 35 | 30 | 35 | 53080191 | 54756375 | 35076364 | 58090324 | 61645455 | 59876453 | 27 | 60 | 40 | 24 | 40 | 30 | 40 | 69001276 | 69013803 | 55613456 | 70022560 | 78865564 | 77653422 | 28 | 70 | 45 | 25 | 45 | 35 | 45 | 86980117 | 85043677 | 60755440 | 89290761 | 95432121 | 91665534 | 29 | 80 | 50 | 24 | 50 | 45 | 50 | 127136406 | 134477472 | 65554453 | 125276767 | 158654430 | 148544768 | 30 | 90 | 55 | 24 | 55 | 50 | 55 | 129311201 | 125632467 | 71879885 | 127698767 | 175437681 | 170766443 | 31 | 100 | 60 | 25 | 60 | 55 | 60 | 153461145 | 150556578 | 75479875 | 150353632 | 179866554 | 178686554 | 32 | 110 | 65 | 36 | 65 | 60 | 65 | 200032401 | 212626371 | 91696575 | 200898322 | 308787651 | 298976633 | 33 | 120 | 70 | 37 | 70 | 65 | 70 | 205869473 | 214363366 | 100689990 | 229642535 | 348776542 | 336765543 | 34 | 130 | 75 | 38 | 75 | 60 | 75 | 235587893 | 233453673 | 115756433 | 245644424 | 358776523 | 350875641 | 35 | 140 | 80 | 40 | 80 | 70 | 80 | 267022500 | 259080977 | 138777655 | 265543523 | 368776421 | 357976592 | 36 | 160 | 90 | 41 | 90 | 80 | 90 | 336749110 | 326902525 | 147565442 | 344252522 | 408756455 | 407644327 | 37 | 180 | 95 | 45 | 95 | 85 | 95 | 373113655 | 367699878 | 169676567 | 387668145 | 459896754 | 449086765 | 38 | 190 | 95 | 45 | 100 | 80 | 95 | 392707538 | 382889301 | 181878668 | 437897798 | 480764533 | 47I866543 | 39 | 200 | 100 | 50 | 100 | 90 | 100 | 410369288 | 402245224 | 199232433 | 405255598 | 489796875 | 478754532 | 40 | 220 | 110 | 90 | 110 | 80 | 110 | 426265014 | 421533566 | 209631466 | 478326559 | 589886552 | 580875641 |
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