首页    期刊浏览 2024年11月27日 星期三
登录注册

文章基本信息

  • 标题:Study on the Departure Process of Discrete-Time <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.216pt;width:36.125px;" id="M1" height="15.4625" version="1.1" viewBox="0 0 36.125 15.4625" width="36.125"> <g transform="matrix(.022,-0,0,-.022,.062,15.013)"><path id="x1D43A" d="M713 296l-5 -25q-47 -7 -59 -20t-23 -72l-15 -79q-9 -48 -3 -74q-15 -3 -55 -13t-63 -15t-59.5 -10t-70.5 -5q-149 0 -243 80t-94 220q0 169 127.5 276.5t336.5 107.5q91 0 206 -36l-10 -165l-29 -1q1 85 -47.5 126t-146.5 41q-153 0 -243.5 -97t-90.5 -242&#xA;q0 -122 68.5 -198.5t188.5 -76.5q121 0 139 75l20 86q13 58 -1.5 70.5t-99.5 20.5l5 26h267z"></path></g><g transform="matrix(.022,-0,0,-.022,16.292,15.013)"><path id="x1D452" d="M391 364q0 -28 -20.5 -53.5t-50 -43.5t-70 -34t-73.5 -25t-68 -17v-29q0 -48 20 -81t65 -33q73 0 157 76l16 -23q-107 -113 -221 -113q-21 0 -40.5 6.5t-39 22t-31.5 47t-12 75.5q0 69 33.5 139.5t95.5 114.5q77 55 143 55q42 0 69 -24.5t27 -59.5zM313 350&#xA;q0 26 -14.5 40.5t-37.5 14.5q-32 0 -44 -7q-82 -46 -104 -175q200 49 200 127z"></path></g><g transform="matrix(.022,-0,0,-.022,25.572,15.013)"><path id="x1D45C" d="M445 282q0 -64 -27.5 -125t-80.5 -104q-80 -65 -168 -65q-73 0 -109.5 46.5t-36.5 116.5q0 92 46.5 163t119.5 104q66 30 108 30q67 0 107.5 -43.5t40.5 -122.5zM355 280q0 62 -26.5 94.5t-64.5 32.5q-26 0 -44 -8q-39 -18 -74 -82t-35 -163q0 -57 25.5 -90.5t70.5 -33.5&#xA;q22 0 36 6q46 20 79 89t33 155z"></path></g> </svg>/<svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.216pt;width:16.35px;" id="M2" height="15.4625" version="1.1" viewBox="0 0 16.35 15.4625" width="16.35"> <g transform="matrix(.022,-0,0,-.022,.062,15.013)"><use xlink:href="#x1D43A"></use></g> </svg>/<svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.0pt;width:10.8875px;" id="M3" height="14.3625" version="1.1" viewBox="0 0 10.8875 14.3625" width="10.8875"> <g transform="matrix(.022,-0,0,-.022,.062,14.3)"><path id="x31" d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z"></path></g> </svg> Queue with Randomized Vacations
  • 本地全文:下载
  • 作者:Chuanyi Luo ; Xiaoying Huang ; Chuan Ding
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2014
  • 卷号:2014
  • DOI:10.1155/2014/738021
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper presents an analysis of the departure process of a discrete-time queue with randomized vacations. By using probability decomposition techniques and renewal process, the expression of expected number of departures during time interval is derived. The relation among departure process, server state process, and service renewal process is obtained. The relation displays the decomposition characteristic of the departure process. Furthermore, the approximate expansion of the expected number of departures is gained. Since the departure process also often corresponds to an arrival process for a downstream queue in queueing network, it is hoped that the results obtained in this paper may provide useful information for queueing network.
国家哲学社会科学文献中心版权所有