A Cascading Failures Perspective Based Mesoscopic Reliability Model of Weighted Public Transit Network considering Congestion Effect and User Equilibrium Evacuation

<div>Mechanism of state transition function <span class="nowrap"><svg height="16.1952pt" id="M134" style="vertical-align:-6.90687pt" version="1.1" viewbox="-0.0498162 -9.28833 14.7696 16.1952" width="14.7696pt" 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></g><g transform="matrix(.0091,0,0,-0.0091,6.721,3.132)"><path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z" id="g185-40"></path></g><g transform="matrix(.0065,0,0,-0.0065,10.789,5.233)"><path d="M405 606C405 634 387 657 355 657C316 657 294 621 294 593C294 563 319 543 346 543C377 543 405 573 405 606ZM371 354C383 412 387 454 360 454C324 454 253 412 182 345L199 312C221 333 269 364 278 364C288 364 287 354 279 310L195 -97C185 -139 166 -179 137 -179C119 -179 94 -169 79 -164C68 -160 59 -160 52 -168C42 -177 25 -197 25 -216C25 -238 50 -253 74 -253C91 -253 124 -242 189 -187C255 -131 292 -40 316 81L371 354Z" id="g176-107"></path></g></svg>.</span></div>

Mathematical Problems in Engineering

fig4

Figure 4

Figure 4: A Cascading Failures Perspective Based Mesoscopic Reliability Model of Weighted Public Transit Network considering Congestion Effect and User Equilibrium Evacuation 

Figure 4 | A Cascading Failures Perspective Based Mesoscopic Reliability Model of Weighted Public Transit Network considering Congestion Effect and User Equilibrium Evacuation 