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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