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The impact of the composition of the customer base in general queueing models

Published online by Cambridge University Press:  14 July 2016

A. Federgruen  and
H. Groenevelt
A. Federgruen*
Affiliation:
Columbia University
H. Groenevelt*
Affiliation:
University of Rochester
*
∗ Postal address: Graduate School of Business, Uris Hall, Columbia University, New York, NY 10027, USA.
∗∗ Postal address: William E. Simon Graduate School of Business Administration, University of Rochester, Rochester, NY, USA.
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Abstract

We consider general queueing models dealing with multiple classes of customers and address the question under what conditions and in what (stochastic) sense the marginal increase in various performance measures, resulting from the addition of a new class of customers to an existing system, is larger than if the same class were added to a system dealing with only a subset of its current customer base.

Our results enhance our understanding of the dependence of various performance measures with respect to the composition of the customer base. In addition they translate readily into convexity results in an (appropriately defined) arrival rate.

Keywords

MULTIPLE CUSTOMER CLASSESSTRUCTURED PROPERTIES OF PERFORMANCECONVEXITY IN ARRIVAL RATE

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 24 , Issue 3 , September 1987 , pp. 709 - 724
Copyright
Copyright © Applied Probability Trust 1987 

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