Improved Simulated Annealing Based Network Model for E-Recycling Reverse Logistics Decisions under Uncertainty

<div>The generation process of SN.<i> Notes. </i><svg height="6.27169pt" id="M256" style="vertical-align:-0.04980993pt" version="1.1" viewbox="-0.0498162 -6.22188 18.3548 6.27169" width="18.3548pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M567 230V280H69V230H567Z"></path></g><g transform="matrix(.013,0,0,-0.013,5.776,0)"><path d="M901 255C861 290 790 361 716 442L694 427L796 280H69V230H796L694 83L716 68C790 149 861 220 901 255Z"></path></g></svg> Product flow in nodes and related data from the matrix <span class="nowrap"><svg height="12.1658pt" id="M257" style="vertical-align:-0.2455997pt" version="1.1" viewbox="-0.0498162 -11.9202 27.9309 12.1658" width="27.9309pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M1048 672C1036 675 1028 674 1020 674C822 646 666 318 554 134C521 81 495 39 468 39C457 39 455 46 455 57C455 79 469 109 472 118C520 227 653 461 794 660L779 672C768 675 766 674 762 674C654 674 544 586 344 250C241 78 187 15 119 15C104 15 91 21 88 36H91C96 33 101 32 106 32C133 32 149 53 149 76C149 103 128 128 97 128C65 128 38 102 38 63C38 20 71 -15 118 -15C235 -15 307 132 473 397C542 508 638 615 712 644L713 643C646 565 574 455 521 373C460 281 378 144 378 66C378 23 399 -4 434 -4C518 -4 559 76 647 231C792 488 891 603 977 635L978 633C779 366 670 179 670 70C670 18 708 -12 756 -12C819 -12 883 42 959 134L940 150C868 66 810 18 770 18C751 18 737 28 737 53C737 111 865 359 1056 659L1048 672Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,13.936,-5.741)"><path d="M655 676H628C608 656 600 650 571 650H156C118 650 114 651 102 676H77C63 615 45 548 24 485L60 486C81 531 97 562 114 580C134 603 148 611 252 611H308L217 127C201 41 196 38 105 32L98 0H384L393 32C300 38 288 41 304 127L393 611H466C553 611 571 604 582 580C592 559 597 530 595 485L630 489C636 548 645 624 655 676Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,19.48,-5.741)"><path d="M870 650H622L613 619C694 615 708 606 708 559C708 531 702 477 686 396L636 136H633L281 650H127L120 619C180 616 198 611 212 592C227 572 232 558 220 503L166 254C148 169 139 131 126 89C112 43 85 35 33 32L24 0H280L286 32C208 37 189 44 189 93C189 124 198 179 212 250L267 526H271L622 -8H655L732 396C747 477 762 532 770 556C785 600 798 616 862 619L870 650Z"></path></g></svg>.</span> <svg height="5.86719pt" id="M258" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -5.81737 12.5482 5.86719" width="12.5482pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M901 255C854 296 792 359 716 442L694 427L796 280H731V230H796L694 83L716 68C792 151 854 214 901 255ZM223 280H69V230H223V280ZM435 280H307V230H435V280ZM647 280H519V230H647V280Z"></path></g></svg> Product flow among nodes and related data from the matrix <span class="nowrap"><svg height="12.0196pt" id="M259" style="vertical-align:-0.2454996pt" version="1.1" viewbox="-0.0498162 -11.7741 27.6569 12.0196" width="27.6569pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M1048 672C1036 675 1028 674 1020 674C822 646 666 318 554 134C521 81 495 39 468 39C457 39 455 46 455 57C455 79 469 109 472 118C520 227 653 461 794 660L779 672C768 675 766 674 762 674C654 674 544 586 344 250C241 78 187 15 119 15C104 15 91 21 88 36H91C96 33 101 32 106 32C133 32 149 53 149 76C149 103 128 128 97 128C65 128 38 102 38 63C38 20 71 -15 118 -15C235 -15 307 132 473 397C542 508 638 615 712 644L713 643C646 565 574 455 521 373C460 281 378 144 378 66C378 23 399 -4 434 -4C518 -4 559 76 647 231C792 488 891 603 977 635L978 633C779 366 670 179 670 70C670 18 708 -12 756 -12C819 -12 883 42 959 134L940 150C868 66 810 18 770 18C751 18 737 28 737 53C737 111 865 359 1056 659L1048 672Z"></path></g><g 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12.1658" width="26.1132pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M1048 672C1036 675 1028 674 1020 674C822 646 666 318 554 134C521 81 495 39 468 39C457 39 455 46 455 57C455 79 469 109 472 118C520 227 653 461 794 660L779 672C768 675 766 674 762 674C654 674 544 586 344 250C241 78 187 15 119 15C104 15 91 21 88 36H91C96 33 101 32 106 32C133 32 149 53 149 76C149 103 128 128 97 128C65 128 38 102 38 63C38 20 71 -15 118 -15C235 -15 307 132 473 397C542 508 638 615 712 644L713 643C646 565 574 455 521 373C460 281 378 144 378 66C378 23 399 -4 434 -4C518 -4 559 76 647 231C792 488 891 603 977 635L978 633C779 366 670 179 670 70C670 18 708 -12 756 -12C819 -12 883 42 959 134L940 150C868 66 810 18 770 18C751 18 737 28 737 53C737 111 865 359 1056 659L1048 672Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,13.936,-5.741)"><path d="M606 650H137L129 618C217 609 221 609 203 518L129 129C115 46 106 40 26 32L18 0H300L307 32C210 40 203 45 218 129L249 305H358C454 305 455 296 457 219H491L531 425H497C465 353 463 350 366 350H259L300 569C306 605 310 611 346 611H444C522 611 535 598 541 578C550 557 553 519 552 485L588 489L606 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,18.951,-5.741)"><path d="M722 32C646 41 636 48 622 116L544 496L509 667L472 658L153 123C106 45 93 42 27 32L18 0H259L268 32C178 40 172 48 204 107L272 233H509C523 180 533 137 540 96C548 50 546 39 466 32L457 0H714L722 32ZM502 283H299L448 547H450L502 283Z"></path></g></svg>.</span></div>

Mathematical Problems in Engineering

fig3

Figure 3

Figure 3: Improved Simulated Annealing Based Network Model for E-Recycling Reverse Logistics Decisions under Uncertainty 