An M/G/1 retrial G-queue with preemptive resume priority and collisions subject to the server breakdowns and delayed repairs

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• 作者：Yi Peng (1)
  Zaiming Liu (1)
  Jinbiao Wu (1)
  
• 关键词：Retrial G ; queues ; Linear retrial rate ; Preemptive resume priority ; Collisions ; Reliability ; 60K25
• 刊名：Journal of Applied Mathematics and Computing
• 出版年：2014
• 出版时间：February 2014
• 年：2014
• 卷：44
• 期：1-2
• 页码：187-213
• 全文大小：794 KB
• 作者单位：Yi Peng (1)
  Zaiming Liu (1)
  Jinbiao Wu (1)
  
  1. School of Mathematics and Statistics, Central South University, Changsha, 410075, Hunan, P.R. China
  
• ISSN：1865-2085

文摘

We consider an M/G/1 retrial G-queue with preemptive resume priority and collisions under linear retrial policy subject to the server breakdowns and delayed repairs. A?breakdown at the busy server is represented by the arrival of a negative customer which causes the customer being in service to be lost. The stability condition of the system is derived. Using generating function technique, the steady-state distributions of the server state and the number of customers in the orbit are obtained along with some interesting and important performance measures. The stochastic decomposition property is investigated. Further, some special cases of interest are discussed. Finally, numerical illustrations are provided.