Analyses of an M/M/N queue with servers’ vacations

Analyses of an M/M/N queue with servers’ vacations

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Article ID: iaor19932016
Country: Netherlands
Volume: 54
Issue: 2
Start Page Number: 256
End Page Number: 266
Publication Date: Sep 1991
Journal: European Journal of Operational Research
Authors: ,
Abstract:

Consider an M/M/N queueing system. A server that completes service and finds no waiting customers leaves for a vacation whose length follows an exponential distribution. A server returning to an empty queue takes another vacation. In this paper, the authors present a matrix-geometric approach for modelling the system and propose algorithms for computing the stationary queue length distribution, the expected length of busy period, the mean waiting time, and the waiting time distribution. Two numerical examples are given at the end.

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