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On the starshapeness of G/G/c queueing systems

Published online by Cambridge University Press:  01 July 2016

J. George Shanthikumar and
Couchen Wu
J. George Shanthikumar*
Affiliation:
University of California, Berkeley
Couchen Wu*
Affiliation:
University of California, Berkeley
*
∗ Postal address: Walter A. Haas School of Business, University of California at Berkeley, Berkeley, CA 94720, USA.
∗∗ Postal address: Department of Industrial Engineering and Operations Research, University of California at Berkeley, Berkeley, CA 94720, USA.
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Abstract

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In this paper we show that the waiting and the sojourn times of a customer in a single-stage, multiple-server, G/G/c queueing system are increasing and starshaped with respect to the mean service time. Usefulness of this result in the design of the optimal service speed in the G/G/c queueing system is also demonstrated.

Keywords

SECOND-ORDER PROPERTIESSINGLE-STAGE QUEUEING SYSTEMSSTOCHASTIC STARSHAPENESSSTOCHASTIC CONVEXITYDESIGN

Information

Type
Letter
Information
Advances in Applied Probability , Volume 23 , Issue 2 , June 1991, pp. 431 - 435
Copyright
Copyright © Applied Probability Trust 1991 

Footnotes

Supported in part by NSF Grant ECS–8811234.

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