Analysis of an M/G/1 queue with constant repeated attempts and server vacations

Analysis of an M/G/1 queue with constant repeated attempts and server vacations

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Article ID: iaor1998452
Country: United Kingdom
Volume: 24
Issue: 6
Start Page Number: 493
End Page Number: 504
Publication Date: Jun 1997
Journal: Computers and Operations Research
Authors:
Keywords: M/G/1 queues, vacation models
Abstract:

We consider an M/G/1 queue with repeated attempts in which the server operates under a general exhaustive service vacation policy. We develop a comprehensive analysis of the system including ergodicity, limiting behaviour, stochastic decomposition and optimal control. We would like to point out that the system size distribution decomposes into three random variables which are respectively associated with the vacation time, the retrial policy and the ordinary M/G/1 queue without vacations and repeated attempts.

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