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  • 标题:A finite-buffer queue with a single vacation policy: An analytical study with evolutionary positioning
  • 本地全文:下载
  • 作者:Marcin Woźniak ; Wojciech M. Kempa ; Marcin Gabryel
  • 期刊名称:International Journal of Applied Mathematics and Computer Science
  • 电子版ISSN:2083-8492
  • 出版年度:2014
  • 卷号:24
  • 期号:4
  • DOI:10.2478/amcs-2014-0065
  • 出版社:De Gruyter Open
  • 摘要:In this paper, application of an evolutionary strategy to positioning a GI/M/ 1 /N -type finite-buffer queueing system with exhaustive service and a single vacation policy is presented. The examined object is modeled by a conditional joint transform of the first busy period, the first idle time and the number of packets completely served during the first busy period. A mathematical model is defined recursively by means of input distributions. In the paper, an analytical study and numerical experiments are presented. A cost optimization problem is solved using an evolutionary strategy for a class of queueing systems described by exponential and Erlang distributions.
  • 关键词:finite-buffer queue; evolutionary strategy; object positioning; queueing system; busy period; idle time; single vacation
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