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Exponential spectra as a tool for the study of server-systems with several classes of customers

Published online by Cambridge University Press:  14 July 2016

J. Keilson
J. Keilson*
Affiliation:
University of Rochester
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Abstract

For a single-server system having several Poisson streams of customers with exponentially distributed service times, busy period densities, waiting time densities, and idle state probabilities are completely monotone. The exponential spectra for such densities are of importance for understanding the transient behavior of such systems. Algorithms are given for the computation of such spectra. Applications to heavy traffic situations and priority systems are also discussed.

Keywords

QUEUESBUSY PERIOD DENSITYPRIORITY QUEUESWAITING TIMESCOMPLETE MONOTONICITYEXPONENTIAL SPECTRAHEAVY TRAFFIC
Type
Research Papers
Information
Journal of Applied Probability , Volume 15 , Issue 1 , March 1978 , pp. 162 - 170
Copyright
Copyright © Applied Probability Trust 1978 

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