AntStar: Enhancing Optimization Problems by Integrating an Ant System and <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.06570053pt" id="M1" height="13.4011pt" version="1.1" viewBox="-0.0657574 -13.3354 20.0579 13.4011" width="20.0579pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g190-66" d="M673 0V28C608 34 594 43 563 129C499 303 432 494 370 665L339 656L132 132C98 43 84 37 20 28V0H238V28C162 35 154 45 175 108C188 150 203 192 219 237H432C454 176 474 122 487 83S491 36 428 28V0H673ZM418 280H234C265 362 296 450 328 535H330L418 280Z"/></g><g transform="matrix(.012,0,0,-0.012,11.902,-7.578)"><path id="g50-43" d="M486 158C486 177 478 202 466 220C413 228 386 236 336 262C386 288 413 297 466 304C478 323 486 347 485 366C470 376 444 381 422 380C389 338 368 319 321 288C323 345 329 372 349 422C339 442 322 461 305 470C289 461 271 442 262 422C281 372 287 345 290 288C243 319 222 338 189 380C167 381 142 376 125 366C125 347 133 322 145 304C198 296 225 288 275 262C225 236 198 227 145 220C133 201 125 177 126 158C141 148 167 143 189 144C222 186 243 205 290 236C288 179 282 152 262 102C272 82 289 63 306 54C322 63 340 82 350 102C330 152 324 179 321 236C368 205 390 186 422 144C444 143 470 148 486 158Z"/></g></svg> Algorithm

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr><td class="align_left"><span style="width: 7.68094ptpx;"><svg height="12.7178pt" id="M201" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 7.68094 12.7178" width="7.68094pt" 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="M558 587C558 666 497 712 432 712C379 712 330 691 284 650C212 586 178 508 148 348L71 -65C49 -185 35 -229 23 -235L27 -261C49 -259 101 -251 124 -224C131 -216 138 -178 159 -24C171 66 197 200 227 356C264 550 295 668 393 668C443 668 479 632 479 575C479 516 446 458 383 418C361 404 344 398 318 397L296 350C395 338 460 281 460 192C460 110 411 40 300 40C258 40 215 55 192 69L181 51C191 18 222 -16 266 -16C308 -16 351 1 397 26C471 67 545 142 545 221C545 315 486 365 401 395C469 437 558 498 558 587Z" id="g113-224"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="581" vert-adv-y="581"></glyph.data></g></svg></span></td><td class="align_center">5</td><td class="align_center">5</td><td class="align_center"><span style="width: 13.1376ptpx;"><svg height="15.0949pt" id="M202" style="vertical-align:-3.5937pt" version="1.1" viewbox="-0.0498162 -11.5012 13.1376 15.0949" width="13.1376pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><rect height="0.3985" width="13.038" x="0" y="-11.4514"></rect><rect height="14.1983" width="0.3985" x="0" y="-11.0529"></rect><g transform="matrix(.013,0,0,-0.013,3.387,0)"><path d="M153 550H386L412 615L406 623H120L82 318C104 327 142 338 184 338C294 338 347 275 347 187C347 112 305 39 221 39C160 39 119 71 97 89C88 97 80 96 71 90C59 80 50 67 49 57C48 45 52 36 66 23C80 9 123 -12 169 -12C221 -11 288 15 342 59C403 109 431 165 431 225C431 308 366 395 238 395C212 395 165 379 127 364L153 550Z" id="g113-54"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="480" vert-adv-y="480"></glyph.data></g><rect height="14.1983" width="0.3985" x="12.6395" y="-11.0529"></rect><rect height="0.3985" width="13.038" x="0" y="3.14537"></rect></svg></span></td><td class="align_center"><b>5</b></td><td class="align_center">5</td><td class="align_center">5</td></tr><tr><td class="align_center" colspan="7"><hr/></td></tr><tr><td class="align_left"><span style="width: 7.51131ptpx;"><svg height="6.1673pt" id="M203" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 7.51131 6.1673" width="7.51131pt" 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="M545 106L524 126C493 85 467 65 455 65C438 65 427 113 405 238C448 295 498 362 543 439L533 448L478 435C453 386 423 331 398 295H395C370 404 347 448 282 448C169 448 23 309 23 153C23 54 65 -12 128 -12C203 -12 283 70 339 155H341C360 29 380 -12 411 -12C444 -12 491 11 545 106ZM333 204C265 95 210 54 169 54C137 54 113 96 113 171C113 302 191 405 252 405C301 405 318 306 333 204Z" id="g113-223"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="568" vert-adv-y="568"></glyph.data></g></svg></span></td><td class="align_center">0</td><td class="align_center">0.5</td><td class="align_center"><span style="width: 13.1376ptpx;"><svg height="15.1732pt" id="M204" style="vertical-align:-3.437099pt" version="1.1" viewbox="-0.0498162 -11.7361 13.1376 15.1732" width="13.1376pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><rect height="0.3985" width="13.038" x="0" y="-11.6863"></rect><rect height="14.2766" width="0.3985" x="0" y="-11.2878"></rect><g transform="matrix(.013,0,0,-0.013,3.387,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z" id="g113-50"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="480" vert-adv-y="480"></glyph.data></g><rect height="14.2766" width="0.3985" x="12.6395" y="-11.2878"></rect><rect height="0.3985" width="13.038" x="0" y="2.98879"></rect></svg></span></td><td class="align_center">2</td><td class="align_center">5</td><td class="align_center">10</td></tr><tr><td class="align_center" colspan="7"><hr/></td></tr><tr><td class="align_left">Shortest path</td><td class="align_center">12.485</td><td class="align_center">12.485</td><td class="align_center"><span style="width: 41.1663ptpx;"><svg height="15.3298pt" id="M205" style="vertical-align:-3.593699pt" version="1.1" viewbox="-0.0498162 -11.7361 41.1663 15.3298" width="41.1663pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><rect height="0.3985" width="41.0667" x="0" y="-11.6863"></rect><rect height="14.4332" width="0.3985" x="0" y="-11.2878"></rect><g transform="matrix(.013,0,0,-0.013,3.387,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 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52 36 66 23C80 9 123 -12 169 -12C221 -11 288 15 342 59C403 109 431 165 431 225C431 308 366 395 238 395C212 395 165 379 127 364L153 550Z" id="g113-54"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="480" vert-adv-y="480"></glyph.data></g><rect height="14.4332" width="0.3985" x="40.6682" y="-11.2878"></rect><rect height="0.3985" width="41.0667" x="0" y="3.14537"></rect></svg></span></td><td class="align_center">13.071</td><td class="align_center">13.071</td><td class="align_center">13.071</td></tr><tr class="table-tr"><td colspan="7"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Scientific Programming

tab2

Table 2

Table 2: AntStar: Enhancing Optimization Problems by Integrating an Ant System and <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.06570053pt" id="M1" height="13.4011pt" version="1.1" viewBox="-0.0657574 -13.3354 20.0579 13.4011" width="20.0579pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g190-66" d="M673 0V28C608 34 594 43 563 129C499 303 432 494 370 665L339 656L132 132C98 43 84 37 20 28V0H238V28C162 35 154 45 175 108C188 150 203 192 219 237H432C454 176 474 122 487 83S491 36 428 28V0H673ZM418 280H234C265 362 296 450 328 535H330L418 280Z"/></g><g transform="matrix(.012,0,0,-0.012,11.902,-7.578)"><path id="g50-43" d="M486 158C486 177 478 202 466 220C413 228 386 236 336 262C386 288 413 297 466 304C478 323 486 347 485 366C470 376 444 381 422 380C389 338 368 319 321 288C323 345 329 372 349 422C339 442 322 461 305 470C289 461 271 442 262 422C281 372 287 345 290 288C243 319 222 338 189 380C167 381 142 376 125 366C125 347 133 322 145 304C198 296 225 288 275 262C225 236 198 227 145 220C133 201 125 177 126 158C141 148 167 143 189 144C222 186 243 205 290 236C288 179 282 152 262 102C272 82 289 63 306 54C322 63 340 82 350 102C330 152 324 179 321 236C368 205 390 186 422 144C444 143 470 148 486 158Z"/></g></svg> Algorithm 

Scientific Programming

AntStar: Enhancing Optimization Problems by Integrating an Ant System and Algorithm

Table 2