Enhanced Simulated Annealing for Solving Aggregate Production Planning

<table class="table-group" id="tab7"><tr><td><table class="table"><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr class="thead"><td class="align_left">Workforce level </td><td class="align_center">P1</td><td class="align_center">P2</td><td class="align_center">P3</td><td class="align_center">P4</td><td class="align_center">P5</td><td class="align_center">P6</td></tr><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr><td class="align_left"><span style="width: 14.5847ptpx;"><svg height="11.927pt" id="M192" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 14.5847 11.927" width="14.5847pt" 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="M962 650H739L732 622L760 619C812 613 819 604 798 552C760 457 671 267 606 131H604L511 638H480L237 131H233L183 554C177 607 183 614 226 619L248 622L257 650H24L17 622C88 615 92 611 103 524L173 -11H203L450 491H453L543 -11H575L839 529C882 609 886 613 953 622L962 650Z" id="g113-88"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="974" vert-adv-y="974"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,10.777,3.132)"><path d="M329 433H203L239 587L230 596L147 534L123 433H57L30 395L34 388H115L61 129C37 16 59 -12 85 -12C147 -12 222 58 260 98L241 125C212 95 160 62 144 62C132 62 127 71 138 126L192 386L305 394L329 433Z" id="g50-117"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="347" vert-adv-y="347"></glyph.data></g></svg></span></td><td class="align_center">1915</td><td class="align_center">1831</td><td class="align_center">1602</td><td class="align_center">1296</td><td class="align_center">1190</td><td class="align_center">1191</td></tr><tr><td class="align_left"><span style="width: 13.8801ptpx;"><svg height="11.927pt" id="M193" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 13.8801 11.927" width="13.8801pt" 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="M828 650H570L564 622C646 614 650 609 634 524L604 366H253L281 524C296 608 308 615 382 622L388 650H132L126 622C211 615 214 609 198 524L121 122C106 42 102 35 23 28L17 0H276L282 28C196 35 191 40 206 122L243 324H597L559 123C544 42 537 35 452 28L446 0H710L716 28C632 35 628 43 643 122L719 524C735 610 741 615 822 622L828 650Z" id="g113-73"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="840" vert-adv-y="840"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,10.075,3.132)"><path d="M329 433H203L239 587L230 596L147 534L123 433H57L30 395L34 388H115L61 129C37 16 59 -12 85 -12C147 -12 222 58 260 98L241 125C212 95 160 62 144 62C132 62 127 71 138 126L192 386L305 394L329 433Z" id="g50-117"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="347" vert-adv-y="347"></glyph.data></g></svg></span></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><td class="align_center">0</td><td class="align_center">1</td></tr><tr><td class="align_left"><span style="width: 10.5787ptpx;"><svg height="11.927pt" id="M194" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 10.5787 11.927" width="10.5787pt" 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="M584 650H137L131 622C214 614 217 612 200 521L125 127C109 41 101 35 23 28L17 0H288L294 28C201 35 193 42 209 128L242 309H348C440 309 442 300 443 226H471L510 422H482C452 354 449 348 357 348H251L295 575C302 609 304 615 338 615H426C502 615 517 604 526 581C534 560 536 524 537 492L565 494C574 554 583 631 584 650Z" id="g113-71"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="607" vert-adv-y="607"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,6.786,3.132)"><path d="M329 433H203L239 587L230 596L147 534L123 433H57L30 395L34 388H115L61 129C37 16 59 -12 85 -12C147 -12 222 58 260 98L241 125C212 95 160 62 144 62C132 62 127 71 138 126L192 386L305 394L329 433Z" id="g50-117"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="347" vert-adv-y="347"></glyph.data></g></svg></span></td><td class="align_center">1400</td><td class="align_center">84</td><td class="align_center">229</td><td class="align_center">306</td><td class="align_center">106</td><td class="align_center">0</td></tr><tr><td class="align_left"><span style="width: 12.8623ptpx;"><svg height="11.927pt" id="M195" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 12.8623 11.927" width="12.8623pt" 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="M699 369C699 549 575 666 407 666C186 666 23 488 23 278C23 101 145 -16 312 -16C535 -16 699 153 699 369ZM600 373C600 210 500 19 321 19C186 19 120 129 120 272C120 450 232 631 399 631C541 631 600 522 600 373Z" id="g113-80"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="722" vert-adv-y="722"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,9.061,3.132)"><path d="M329 433H203L239 587L230 596L147 534L123 433H57L30 395L34 388H115L61 129C37 16 59 -12 85 -12C147 -12 222 58 260 98L241 125C212 95 160 62 144 62C132 62 127 71 138 126L192 386L305 394L329 433Z" id="g50-117"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="347" vert-adv-y="347"></glyph.data></g></svg></span></td><td class="align_center">31079</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><td class="align_center">0</td></tr><tr class="table-tr"><td colspan="7"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Mathematical Problems in Engineering

tab7

Table 7

Table 7: Enhanced Simulated Annealing for Solving Aggregate Production Planning 