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BALKING AND RENEGING IN M/G/s SYSTEMS EXACT ANALYSIS AND APPROXIMATIONS

Published online by Cambridge University Press:  27 May 2008

Liqiang Liu  and
Vidyadhar G. Kulkarni
Liqiang Liu
Affiliation:
Department of Statistics and Operations ResearchUniversity of North CarolinaChapel Hill, NC 27599–3180 E-mail: vkulkarni@email.unc.edu
Vidyadhar G. Kulkarni
Affiliation:
Department of Statistics and Operations ResearchUniversity of North CarolinaChapel Hill, NC 27599–3180 E-mail: vkulkarni@email.unc.edu
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Abstract

We consider the virtual queuing time (vqt, also known as work-in-system, or virtual-delay) process in an M/G/s queue with impatient customers. We focus on the vqt-based balking model and relate it to reneging behavior of impatient customers in terms of the steady-state distribution of the vqt process. We construct a single-server system, analyze its operating characteristics, and use them to approximate the multiserver system. We give both analytical results and numerical examples. We conduct simulation to assess the accuracy of the approximation.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 22 , Issue 3 , July 2008 , pp. 355 - 371
Copyright
Copyright © Cambridge University Press 2008

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