A Supply Chain-Logistics Super-Network Equilibrium Model for Urban Logistics Facility Network Optimization

<table class="fixed-width table-group" id="tab8"><tr><td><table class="table"><colgroup><col style="width:7.18em"/><col style="width:5.02em"/><col style="width:5.15em"/><col style="width:5.02em"/><col style="width:5.15em"/></colgroup><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td class="align_left" rowspan="2"><span style="width: 14.1462ptpx;"><svg height="16.2017pt" id="M128" style="vertical-align:-3.943501pt" version="1.1" viewbox="-0.0498162 -12.2582 14.1462 16.2017" width="14.1462pt" 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="M474 429L457 433C435 440 389 448 367 448C348 448 323 446 309 443C266 434 195 406 148 366C78 307 23 210 23 101C23 35 55 -12 92 -12C118 -12 146 1 196 35C247 70 311 130 346 173H348L281 -148C268 -211 256 -221 208 -229L191 -232L187 -257L433 -245L437 -219L411 -216C357 -210 350 -205 362 -140L427 207C447 315 461 381 474 429ZM387 387C379 337 363 262 355 236C318 180 201 57 142 57C126 57 112 81 112 128C112 205 150 321 220 376C244 395 280 403 312 403C345 403 370 396 387 387Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.383,-5.741)"><path d="M509 90L493 118C465 91 427 70 418 70S409 77 415 103L469 327C494 429 466 451 436 451C412 451 387 444 356 427C307 400 222 342 160 264H158L246 667C253 701 252 710 243 710C228 710 169 680 87 673L83 644H117C155 644 160 640 149 588L24 -4L32 -12C57 -4 86 4 108 9L143 187C198 275 324 386 375 386C394 386 399 367 385 311L331 87C315 22 322 -12 351 -12C387 -12 452 24 509 90Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.318,3.784)"><path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.866,3.784)"><path d="M485 418C485 434 469 451 441 451C389 451 312 387 255 335C221 304 194 278 159 242H157L259 678C264 698 264 710 255 710C242 710 183 681 96 673L90 643L128 642C165 641 171 640 162 602L24 -5L31 -12C51 -4 81 4 110 9L145 181C154 195 180 220 205 242C233 170 263 106 291 53C318 1 335 -12 360 -12C383 -12 425 0 483 82L463 105C437 79 411 57 400 57C388 57 378 68 355 110C329 156 288 244 268 298C299 333 355 376 405 376C426 376 440 373 448 368C453 365 465 368 468 373C477 386 485 405 485 418Z"></path></g></svg></span></td><td class="align_center" colspan="2">retailer 1</td><td class="align_center" colspan="2">retailer 2</td></tr><tr class="thead"><td class="align_center">product 1</td><td class="align_center">product 2</td><td class="align_center">product 1</td><td class="align_center">product 2</td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td class="align_left">logistics firm 1</td><td class="align_center">0</td><td class="align_center">0</td><td class="align_center">0</td><td class="align_center">0</td></tr><tr><td class="align_left">logistics firm 2</td><td class="align_center">7.27</td><td class="align_center">7.26</td><td class="align_center">7.27</td><td class="align_center">7.26</td></tr><tr><td class="align_left">logistics firm 3</td><td class="align_center">0</td><td class="align_center">0</td><td class="align_center">0</td><td class="align_center">0</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>The production of transaction between logistics firms and retailers.</div>

Mathematical Problems in Engineering

tab8

Table 8

Table 8: A Supply Chain-Logistics Super-Network Equilibrium Model for Urban Logistics Facility Network Optimization 