Research on Cascading Failure Model of Urban Regional Traffic Network under Random Attacks

<table class="fixed-width table-group" id="tab1"><tr><td><table class="table"><colgroup><col style="width:10.10em"/><col style="width:2.24em"/><col style="width:2.18em"/><col style="width:3.86em"/><col style="width:3.73em"/><col style="width:3.81em"/><col style="width:3.56em"/><col style="width:3.87em"/></colgroup><tr><td class="thead-hr" colspan="8"><hr/></td></tr><tr class="thead"><td class="align_left">Network feature value</td><td class="align_center"><span style="width: 11.047531ptpx;"><svg height="8.842299pt" id="M158" style="vertical-align:-0.2063942pt" version="1.1" viewbox="-0.049816 -8.635905 11.047531 8.842299" width="11.047531pt" 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"></path></g></svg></span></td><td class="align_center"><span style="width: 8.137651ptpx;"><svg height="8.685721pt" id="M159" style="vertical-align:-0.04981613pt" version="1.1" viewbox="-0.049816 -8.635905 8.137651 8.685721" width="8.137651pt" 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="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path></g></svg></span></td><td class="align_center"><span style="width: 17.441415ptpx;"><svg height="11.680411pt" id="M160" style="vertical-align:-2.392076pt" version="1.1" viewbox="-0.049816 -9.288335 17.441415 11.680411" width="17.441415pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,.241)"><path d="M360 -163L167 270L360 703H298L106 273V267L298 -163H360Z"></path></g><g transform="matrix(.013,0,0,-0.013,5.389,0)"><path d="M480 416C480 431 465 448 438 448C388 448 312 383 252 330C217 299 188 273 155 237H153L257 680C262 700 263 712 253 712C240 712 183 684 97 674L92 648L126 647C166 646 172 645 163 606L23 -6L29 -12C51 -5 77 2 107 8C115 62 130 128 142 180C153 193 179 220 204 241C231 170 259 106 288 54C317 0 336 -12 358 -12C381 -12 423 2 477 80L460 100C434 74 408 54 398 54C385 54 374 65 351 107C326 154 282 241 263 299C296 332 351 377 403 377C424 377 436 372 445 368C449 366 456 368 462 375C472 386 480 402 480 416Z"></path></g><g transform="matrix(.013,0,0,-0.013,11.953,.241)"><path d="M307 267V273L115 703H53L246 270L53 -163H115L307 267Z"></path></g></svg></span></td><td class="align_center"><span style="width: 7.315584ptpx;"><svg height="8.685721pt" id="M161" style="vertical-align:-0.04981613pt" version="1.1" viewbox="-0.049816 -8.635905 7.315584 8.685721" width="7.315584pt" 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="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path></g></svg></span></td><td class="align_center"><span style="width: 8.816198ptpx;"><svg height="8.842299pt" id="M162" style="vertical-align:-0.2063942pt" version="1.1" viewbox="-0.049816 -8.635905 8.816198 8.842299" width="8.816198pt" 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="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g></svg></span></td><td class="align_center"><span style="width: 14.732139ptpx;"><svg height="11.927014pt" id="M163" style="vertical-align:-3.291109pt" version="1.1" viewbox="-0.049816 -8.635905 14.732139 11.927014" width="14.732139pt" 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="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.325,3.132)"><path d="M636 22C611 29 589 38 560 74C536 104 518 134 495 173L430 300C518 328 592 392 592 492C592 555 563 594 528 618C491 643 435 650 377 650H140L131 618C222 610 223 601 208 518L137 136C121 43 116 40 27 32L18 0H295L300 32C212 40 206 42 223 138L248 279H296C334 279 350 272 369 230C393 174 413 140 441 94C482 24 523 1 626 -8L636 22ZM497 480C497 422 468 374 417 343C387 324 353 315 304 315H255L298 556C303 583 309 598 319 603C331 610 348 613 367 613C448 613 497 573 497 480Z"></path></g></svg></span></td><td class="align_center"><span style="width: 15.058369ptpx;"><svg height="11.927014pt" id="M164" style="vertical-align:-3.291109pt" version="1.1" viewbox="-0.049816 -8.635905 15.058369 11.927014" width="15.058369pt" 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="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.651,3.132)"><path d="M636 22C611 29 589 38 560 74C536 104 518 134 495 173L430 300C518 328 592 392 592 492C592 555 563 594 528 618C491 643 435 650 377 650H140L131 618C222 610 223 601 208 518L137 136C121 43 116 40 27 32L18 0H295L300 32C212 40 206 42 223 138L248 279H296C334 279 350 272 369 230C393 174 413 140 441 94C482 24 523 1 626 -8L636 22ZM497 480C497 422 468 374 417 343C387 324 353 315 304 315H255L298 556C303 583 309 598 319 603C331 610 348 613 367 613C448 613 497 573 497 480Z"></path></g></svg></span></td></tr><tr><td class="thead-hr" colspan="8"><hr/></td></tr><tr><td class="align_left">Calculation results</td><td class="align_center">34</td><td class="align_center">55</td><td class="align_center">3.8824</td><td class="align_center">5.7971</td><td class="align_center">0.4180</td><td class="align_center">5.1231</td><td class="align_center">0.0837</td></tr><tr class="table-tr"><td colspan="8"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Shenyang regional traffic network characteristics.</div>

Discrete Dynamics in Nature and Society

tab1

Table 1

Table 1: Research on Cascading Failure Model of Urban Regional Traffic Network under Random Attacks 