Joint Cell Muting and User Scheduling in Multicell Networks with Temporal Fairness

<div>The average throughput <svg height="9.01194pt" id="M568" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -8.96212 8.41168 9.01194" width="8.41168pt" 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="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z" id="g113-85"></path></g></svg> and the average of three fairness metrics <span class="nowrap"><svg height="13.1967pt" id="M569" style="vertical-align:-4.560801pt" version="1.1" viewbox="-0.0498162 -8.6359 10.2603 13.1967" width="10.2603pt" 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="M485 501C480 550 475 615 475 650H42V622C119 616 127 606 127 525V126C127 44 119 34 41 28V0H311V28C220 34 212 43 212 126V584C212 612 216 615 244 615H318C382 615 404 608 420 587C435 568 445 541 455 497L485 501Z" id="g113-132"></path></g><g transform="matrix(.0091,0,0,-0.0091,5.486,3.132)"><path d="M434 650H168L162 618C248 609 258 608 243 528L174 155C163 93 153 39 138 1C110 -68 67 -98 24 -111L37 -147C55 -144 75 -136 94 -128C185 -87 232 -12 259 139L328 528C342 605 349 609 427 618L434 650Z" id="g50-75"></path></g></svg>,</span> <span class="nowrap"><svg height="16.9873pt" id="M570" style="vertical-align:-5.213201pt" version="1.1" viewbox="-0.0498162 -11.7741 11.1777 16.9873" width="11.1777pt" 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="M485 501C480 550 475 615 475 650H42V622C119 616 127 606 127 525V126C127 44 119 34 41 28V0H311V28C220 34 212 43 212 126V584C212 612 216 615 244 615H318C382 615 404 608 420 587C435 568 445 541 455 497L485 501Z" id="g113-132"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.595,-5.741)"><path d="M418 650H141L133 618C225 611 232 604 218 531L141 120C126 45 119 37 33 32L24 0H301L308 32C220 37 214 44 227 120L305 531C319 605 325 611 411 618L418 650Z" id="g50-74"></path></g><g transform="matrix(.0091,0,0,-0.0091,5.486,3.784)"><path d="M434 650H168L162 618C248 609 258 608 243 528L174 155C163 93 153 39 138 1C110 -68 67 -98 24 -111L37 -147C55 -144 75 -136 94 -128C185 -87 232 -12 259 139L328 528C342 605 349 609 427 618L434 650Z" id="g50-75"></path></g></svg>,</span> and <svg height="17.1334pt" id="M571" style="vertical-align:-5.2132pt" version="1.1" viewbox="-0.0498162 -11.9202 13.8631 17.1334" width="13.8631pt" 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="M485 501C480 550 475 615 475 650H42V622C119 616 127 606 127 525V126C127 44 119 34 41 28V0H311V28C220 34 212 43 212 126V584C212 612 216 615 244 615H318C382 615 404 608 420 587C435 568 445 541 455 497L485 501Z" id="g113-132"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.595,-5.741)"><path d="M750 359C750 550 603 667 427 667C199 667 24 499 24 287C24 100 166 -17 344 -17C573 -17 750 136 750 359ZM645 356C645 196 538 24 350 24C205 24 127 136 127 285C127 471 247 626 422 626C571 626 645 521 645 356Z" id="g50-80"></path></g><g transform="matrix(.0091,0,0,-0.0091,5.486,3.784)"><path d="M434 650H168L162 618C248 609 258 608 243 528L174 155C163 93 153 39 138 1C110 -68 67 -98 24 -111L37 -147C55 -144 75 -136 94 -128C185 -87 232 -12 259 139L328 528C342 605 349 609 427 618L434 650Z" id="g50-75"></path></g></svg> for various values of <svg height="6.1673pt" id="M572" 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></g></svg> and <svg height="12.7178pt" id="M573" 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></g></svg> for the 9-cell CN.</div>

Wireless Communications and Mobile Computing

tab3

Table 3

Table 3: Joint Cell Muting and User Scheduling in Multicell Networks with Temporal Fairness 