Vehicle Routing Problems with Fuel Consumption and Stochastic Travel Speeds

<table class="table-group" id="tab9"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td class="align_left" rowspan="2"> </td><td class="align_center" colspan="5">Values of <svg height="12.7178pt" id="M223" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 8.47692 12.7178" width="8.47692pt" 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="M619 670C619 686 593 712 555 712S459 686 410 634S335 504 320 430H250L219 400L222 388H312L258 73C223 -133 201 -166 187 -180C175 -191 158 -199 140 -199C123 -199 88 -188 74 -172C68 -166 63 -164 54 -171C38 -185 23 -201 23 -215C23 -236 60 -261 93 -261C122 -261 161 -247 207 -200C268 -138 300 -71 337 94C365 220 376 277 394 387L501 399L521 430H401C432 623 464 665 501 665C524 665 544 651 567 627C577 617 583 618 592 625C601 631 619 651 619 670Z" id="g113-103"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="642" vert-adv-y="642"></glyph.data></g></svg></td></tr><tr class="thead"><td class="align_center">1000</td><td class="align_center">100</td><td class="align_center">10</td><td class="align_center">0.1</td><td class="align_center">0.01</td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td class="align_left"><span style="width: 11.0475ptpx;"><svg height="8.8423pt" id="M224" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 11.0475 8.8423" width="11.0475pt" 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="M822 650H589L583 622C660 617 677 607 674 561C672 534 664 481 647 390L600 137H596L273 650H126L120 622C176 620 194 615 207 594C221 571 225 557 214 504L161 257C141 166 129 112 121 85C108 42 83 30 29 28L23 0H260L266 28C193 33 173 42 176 89C178 122 186 172 202 255L256 527H259L583 -8H612L690 390C708 481 720 535 728 558C744 603 756 619 816 622L822 650Z" id="g113-79"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="839" vert-adv-y="839"></glyph.data></g></svg></span></td><td class="align_center">28</td><td class="align_center">28</td><td class="align_center">29</td><td class="align_center">29</td><td class="align_center">29</td></tr><tr><td class="align_left">Total cost (<svg height="8.71181pt" id="M225" style="vertical-align:-0.3629904pt" version="1.1" viewbox="-0.0498162 -8.34882 6.36303 8.71181" width="6.36303pt" 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="M376 295V333H202C192 387 182 443 182 488C182 552 205 584 254 584C295 584 323 563 347 542C357 534 366 534 375 540C382 546 391 556 394 563C399 574 398 583 390 594C379 609 339 635 293 635C265 635 219 615 189 590C127 540 106 480 106 415C106 386 109 358 111 333H28V295H116C117 281 119 262 119 236C119 196 111 138 77 101C59 81 39 59 30 43C12 14 29 -5 42 -5C48 -5 51 -1 54 7C67 42 83 50 95 50C108 50 123 44 153 26C199 0 248 -28 288 -28C323 -28 352 -14 379 3C417 28 456 74 456 119C456 138 447 160 433 160C420 160 407 149 397 134C392 126 391 119 394 112C398 104 401 92 401 80C401 52 381 34 343 34C307 34 264 53 223 72C186 89 154 99 118 99C172 149 205 203 205 273C205 281 205 287 204 295H376Z"></path><glyph.data ascent="900" descent="-389" horiz-adv-x="480" vert-adv-y="480"></glyph.data></g></svg>)</td><td class="align_center">28975.39</td><td class="align_center">4459.221</td><td class="align_center">1474.35</td><td class="align_center">1154.432</td><td class="align_center">968.6605</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Test results of different fixed vehicle cost.

Mathematical Problems in Engineering

tab9

Table 9

Table 9: Vehicle Routing Problems with Fuel Consumption and Stochastic Travel Speeds 