Reliability Modeling and Optimization Strategy for Manufacturing System Based on RQR Chain

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="8"><hr/></td></tr><tr class="thead"><td align="left">Number</td><td align="center">Key characteristics</td><td align="center"><span style="width: 12.4108ptpx;"><svg height="9.16067pt" id="M183" style="vertical-align:-3.16062pt" version="1.1" viewbox="-0.0498162 -6.00005 12.4108 9.16067" width="12.4108pt" 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="M504 89L488 119C453 85 428 69 416 69C408 69 405 75 412 102L462 304C492 438 460 451 436 451S388 441 356 423C311 397 229 336 170 256H168L189 340C208 418 200 451 177 451C144 451 82 413 24 352L40 322C65 345 98 369 108 369C114 369 119 363 112 335L28 -3L36 -12C54 -3 83 4 112 10C125 73 138 122 153 174C205 258 328 382 376 382C395 382 399 369 384 305L330 93C312 25 323 -12 351 -12C378 -12 439 21 504 89Z" id="g50-111"></path><glyph.data ascent="3443" descent="-2856" 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484 104C543 166 573 240 573 302ZM481 290C481 165 381 37 305 37C280 37 249 56 235 71L302 395C328 399 353 402 372 402C427 402 481 378 481 290Z" id="g50-113"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="597" vert-adv-y="597"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,7.436,3.001)"><path d="M563 395C563 428 543 451 519 451C500 451 480 438 472 423C468 415 465 403 470 394C477 381 482 368 482 347C482 272 386 136 342 74H340C334 163 323 257 312 337C302 410 290 451 257 451C214 451 160 385 127 338L145 310C169 341 203 373 209 373C219 373 225 369 232 325C249 215 269 62 271 -15C220 -80 135 -165 18 -231L26 -257L142 -230C254 -105 279 -74 342 13C394 85 484 211 526 286C553 334 563 365 563 395Z" id="g50-122"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="587" vert-adv-y="587"></glyph.data></g></svg></span></td><td align="center"><span style="width: 12.6743ptpx;"><svg height="10.1602pt" id="M188" style="vertical-align:-3.32502pt" version="1.1" viewbox="-0.0498162 -6.83518 12.6743 10.1602" width="12.6743pt" 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="M573 302C573 402 527 451 414 451C386 451 343 446 313 437L330 513L320 522C295 508 261 484 243 463L230 415C194 400 159 383 126 359L131 330C159 344 187 357 222 368L109 -147C96 -204 80 -214 18 -223L13 -255L256 -244L259 -212L236 -210C184 -205 180 -195 191 -141L219 -1C240 -10 268 -12 284 -12C352 4 431 48 484 104C543 166 573 240 573 302ZM481 290C481 165 381 37 305 37C280 37 249 56 235 71L302 395C328 399 353 402 372 402C427 402 481 378 481 290Z" id="g50-113"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="597" vert-adv-y="597"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,7.436,3.001)"><path d="M481 445L456 468C426 437 403 427 388 427C372 427 356 428 302 438C256 447 221 451 187 451C159 451 130 428 105 384C93 363 80 340 65 305L96 290C122 342 149 381 193 381C216 381 267 377 294 374S346 372 365 376L75 105C37 70 24 35 24 16C24 2 30 -5 35 -8C42 -8 46 -6 48 -2C58 14 75 35 90 41C102 46 116 46 147 32C200 8 267 -21 298 -21C347 -21 390 12 448 126L420 151C369 77 338 56 311 56C287 56 249 68 212 81C180 92 149 100 127 98C212 172 353 308 413 372L481 445Z" id="g50-123"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="505" vert-adv-y="505"></glyph.data></g></svg></span></td></tr><tr><td class="thead-hr" colspan="8"><hr/></td></tr><tr><td align="left">1</td><td align="center">Hole A</td><td align="center">0</td><td align="center">1</td><td align="center">0</td><td align="center">41.5</td><td align="center">22.5</td><td align="center">0</td></tr><tr><td align="left">2</td><td align="center">Hole B</td><td align="center">0</td><td align="center">1</td><td align="center">0</td><td align="center">14.5.5</td><td align="center">22.5</td><td align="center">0</td></tr><tr><td align="left">3</td><td align="center">Face C</td><td align="center">0</td><td align="center">−1</td><td align="center">0</td><td align="center">91.5</td><td align="center">−15.5</td><td align="center">0</td></tr><tr><td align="left">4</td><td align="center">Hole D</td><td align="center">1</td><td align="center">0</td><td align="center">0</td><td align="center">0</td><td align="center">0</td><td align="center">61.5</td></tr><tr class="table-tr"><td colspan="8"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Vector space model of key product characteristics.

Mathematical Problems in Engineering

tab2

Table 2

Table 2: Reliability Modeling and Optimization Strategy for Manufacturing System Based on RQR Chain 