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  • 标题:Reliability Analysis of unreliable MX/G/1 Retrial Queue with Second Optional Service, Setup and Discouragement
  • 本地全文:下载
  • 作者:Madhu Jain ; Deepa Chauhan
  • 期刊名称:International Journal of Engineering and Computer Science
  • 印刷版ISSN:2319-7242
  • 出版年度:2014
  • 卷号:3
  • 期号:12
  • 页码:9462-9475
  • 出版社:IJECS
  • 摘要:Retrial queues have been widely used to model many problems arising in telephone switching systems, telecommunicationnetworks, computer networks and computer systems, etc.. In this paper an Mx/G/1 retrial queue with two phase services,discouragement and general setup time is being studied where the server is subject to breakdown during service. Primarycustomers join the system according to Poisson process and receive the service immediately if the server is available upon arrival.Otherwise, they enter a retrial orbit with some probability and are queued in the orbit. They repeat their demand after somerandom interval of t ime. The customers are allowed to balk upon arrival. All the customers who join the queue have to undergothe first essential service, whereas only some of them demand for the second optional service. Using generating function approachand supplementary variable method, the steady state solutions for some queueing and reliability measures of the system areobtained. The sensitivity analysis has been carried out to explore the effects of system parameters on various performancemeasures
  • 关键词:Retrial queue; Batch arrivals; Two phase service; Unreliable server; Balking; Setup time; Supplementary variable;Generating function; Reliability
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