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An M/G/c queue in which the number of servers required is random

Published online by Cambridge University Press:  14 July 2016

Awi Federgruen  and
Linda Green
Awi Federgruen*
Affiliation:
Columbia University
Linda Green*
Affiliation:
Columbia University
*
∗Postal address: Columbia Business School, Columbia University, New York, NY 10027, USA.
∗Postal address: Columbia Business School, Columbia University, New York, NY 10027, USA.
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Abstract

Many queueing situations such as computer, communications and emergency systems have the feature that customers may require service from several servers at the same time. They may thus be delayed until the required number of servers is available and servers may be idle when customers are waiting. We consider general server-completion-time distributions and derive approximation methods for the computation of the steady-state distribution of the number of customers in queue as well as the moments of the waiting-time distribution. Extensive computational results are reported.

Keywords

MULTISERVER QUEUESRANDOM SERVER REQUIREMENTAPPROXIMATIONS FOR STEADY-STATE DISTRIBUTIONS
Type
Research Papers
Information
Journal of Applied Probability , Volume 21 , Issue 3 , September 1984 , pp. 583 - 601
Copyright
Copyright © Applied Probability Trust 1984 

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