Exponential Queues with Server Vacations
作者:
VinodB.,
期刊:
Journal of the Operational Research Society
(Taylor Available online 1986)
卷期:
Volume 37,
issue 10
页码: 1007-1014
ISSN:0160-5682
年代: 1986
DOI:10.1057/jors.1986.170
出版商: Taylor&Francis
关键词: load-dependent service;Markov processes;queueing;vacations
数据来源: Taylor
摘要:
AbstractIn this paper, we analyse a queueing system where the server may take a vacation. The customers arrive at the service facility according to a Poisson process, and are served if the server is available (not on vacation). We consider two models: when the server vacation cycle is independent of and dependent on the number of customers in the system. The infinitesimal generators of the underlying Markov processes have a block tri-diagonal structure, and we provide a matrix geometric solution. When the vacation cycle is independent of the customer queue length, we present a simple load-dependent approximation that is fairly accurate.
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