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  • 标题:The number of overtakes in an M / M /2 queue
  • 本地全文:下载
  • 作者:Hendrik Baumann ; Berenice Anne Neumann
  • 期刊名称:Operations Research Perspectives
  • 印刷版ISSN:2214-7160
  • 电子版ISSN:2214-7160
  • 出版年度:2018
  • 卷号:5
  • 页码:280-287
  • DOI:10.1016/j.orp.2018.09.001
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractThe phenomenon of overtaking in queueing systems and queueing networks has been addressed by several authors with various motivations in the last decades. Nevertheless, up to now, for the relatively simpleM/M/2/FCFS queue, the distribution of the number of overtakes a stationary customer suffers from was not known. In this paper, we characterize this distribution by its probability generating function. As a consequence, we derive the expectation (which is well-known) and the variance.
  • 关键词:KeywordsQueueingOvertakesAbsorbing Markov chain
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