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GI/M/1 Queue with Server Vacations

 

作者: ChatterjeeU.,   MukherjeeS. P.,  

 

期刊: Journal of the Operational Research Society  (Taylor Available online 1990)
卷期: Volume 41, issue 1  

页码: 83-87

 

ISSN:0160-5682

 

年代: 1990

 

DOI:10.1057/jors.1990.9

 

出版商: Taylor&Francis

 

关键词: embedded Markov chain;forward recurrence time;incomplete gamma function;stochastic decomposition principle

 

数据来源: Taylor

 

摘要:

AbstractA queueing model with server vacations is studied in which it is assumed that the interarrival time has a general distribution, the service-time distribution is exponential and vacations are independently and indentically distributed with a general distribution. Using the embedded Markov chain technique, the equilibrium probability distributions of system size have been obtained at pre-arrival and at random epochs separately. Finally, the distribution of waiting time of a customer in the queue (excluding service) has been derived.

 

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