GI/M/1 queue with server vacations

GI/M/1 queue with server vacations

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Article ID: iaor1990321
Country: United Kingdom
Volume: 41
Issue: 1
Start Page Number: 83
End Page Number: 87
Publication Date: Jan 1990
Journal: Journal of the Operational Research Society
Authors: ,
Abstract:

A 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 identically 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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