Design and Profit Allocation in Two-Echelon Heterogeneous Cooperative Logistics Network Optimization

<table class="fixed-width table-group" id="tab5"><tr><td><table class="table"><colgroup><col style="width:4.03em"/><col style="width:34.72em"/></colgroup><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td class="align_left"> </td><td class="align_center">Customer units allocation</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left">LC</td><td class="align_center"> </td></tr><tr><td class="align_left"> <svg height="11.9479pt" id="M308" style="vertical-align:-3.181499pt" version="1.1" viewbox="-0.0498162 -8.7664 21.4248 11.9479" width="21.4248pt" 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="M495 163C480 117 462 85 444 65C421 39 387 34 332 34C290 34 256 36 236 47C218 57 213 77 213 131V526C213 612 222 616 301 622V650H40V622C122 616 128 611 128 526V126C128 41 120 34 36 28V0H489C498 31 519 126 525 157L495 163Z" id="g121-74"></path></g><g transform="matrix(.013,0,0,-0.013,6.89,0)"><path d="M614 175C564 76 510 21 408 21C256 21 146 149 146 336C146 488 235 629 402 629C510 629 570 586 597 480L626 488C620 541 614 582 606 638C578 643 510 665 429 665C206 665 44 527 44 316C44 157 153 -15 402 -15C474 -15 558 5 586 11C604 45 629 119 643 165L614 175Z" id="g121-65"></path></g><g transform="matrix(.0091,0,0,-0.0091,15.593,3.132)"><path d="M46 650V618C122 613 130 611 130 522V128C130 46 123 40 40 32V0H319V32C227 40 217 42 217 128V279L292 260C303 259 322 258 338 261C436 272 534 337 534 467C534 534 508 580 469 609C428 640 371 650 299 650H46ZM217 558C217 585 220 596 228 603C235 610 256 615 284 615C367 615 435 571 435 463C435 339 358 304 291 304C256 304 229 310 217 317V558Z" id="g58-78"></path></g></svg></td><td class="align_center">P1 P2 P3 P4 P6 P13 P14 P17 P22 P23 P25 P28 P30 P34</td></tr><tr><td class="align_left"> <svg height="11.9479pt" id="M309" style="vertical-align:-3.181499pt" version="1.1" viewbox="-0.0498162 -8.7664 22.9868 11.9479" width="22.9868pt" 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="M495 163C480 117 462 85 444 65C421 39 387 34 332 34C290 34 256 36 236 47C218 57 213 77 213 131V526C213 612 222 616 301 622V650H40V622C122 616 128 611 128 526V126C128 41 120 34 36 28V0H489C498 31 519 126 525 157L495 163Z" id="g121-74"></path></g><g transform="matrix(.013,0,0,-0.013,6.89,0)"><path d="M614 175C564 76 510 21 408 21C256 21 146 149 146 336C146 488 235 629 402 629C510 629 570 586 597 480L626 488C620 541 614 582 606 638C578 643 510 665 429 665C206 665 44 527 44 316C44 157 153 -15 402 -15C474 -15 558 5 586 11C604 45 629 119 643 165L614 175Z" id="g121-65"></path></g><g transform="matrix(.0091,0,0,-0.0091,15.593,3.132)"><path d="M43 650V617C122 612 130 606 130 522V128C130 44 122 37 34 32V0H275C400 0 497 25 573 82C652 142 698 229 698 350C698 445 662 518 613 565C549 625 456 650 327 650H43ZM217 544C217 580 220 591 229 599C240 607 264 613 311 613C380 613 437 599 482 570C561 523 598 436 598 336C598 177 511 40 324 40C248 40 217 61 217 135V544Z" id="g58-66"></path></g></svg></td><td class="align_center">D3 D6 D18 D21 D22 D23 D28 D36 D39 D45 D51 D52 D54 D59 D60 D61 D62<br/> D65 D66 D67 D68 D70</td></tr><tr><td class="align_left" colspan="2"><hr/></td></tr><tr><td class="align_left">PC1</td><td class="align_center">P18 P19 P24 P26 P29 P31 P32 P35 P36 P37 P38 P39 P40 P42 P43 P44 P45 P46 P47<br/> P48 P49 P50</td></tr><tr><td class="align_left" colspan="2"><hr/></td></tr><tr><td class="align_left">PC2</td><td class="align_center">P5 P7 P8 P9 P10 P11 P12 P15 P16 P20 P21 P27 P33 P41</td></tr><tr><td class="align_left" colspan="2"><hr/></td></tr><tr><td class="align_left">DC1</td><td class="align_center">D1 D2 D4 D5 D7 D10 D11 D12 D13 D14 D15 D16 D19 D20 D25 D26 D38 D40<br/> D56 D57 D58 D63 D64 D47</td></tr><tr><td class="align_left" colspan="2"><hr/></td></tr><tr><td class="align_left">DC2</td><td class="align_center">D8 D9 D24 D27 D29 D33 D34 D35 D37</td></tr><tr><td class="align_left" colspan="2"><hr/></td></tr><tr><td class="align_left">DC3</td><td class="align_center">D17 D30 D31 D32 D41 D42 D43 D44 D46 D48 D49 D50 D53 D55 D69</td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Customer units’ assignment in the grand coalition.</div>

Journal of Advanced Transportation

tab5

Table 5

Table 5: Design and Profit Allocation in Two-Echelon Heterogeneous Cooperative Logistics Network Optimization 