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Characterizations of the Exponential Distribution via the Blocking Time in a Queueing System with an Unreliable Server

Part of: Distribution theory Distribution theory - Probability

Published online by Cambridge University Press:  14 July 2016

Jian-Lun Xu
Jian-Lun Xu*
Affiliation:
University of Houston
*
∗Postal address: Department of Mathematics, University of Houston, Houston, TX 77204–3476, USA.
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Abstract

The characterization of the exponential distribution via the coefficient of the variation of the blocking time in a queueing system with an unreliable server, as given by Lin (1993), is improved by substantially weakening the conditions. Based on the coefficient of variation of certain random variables, including the blocking time, the normal service time and the minimum of the normal service and the server failure times, two new characterizations of the exponential distribution are obtained.

Keywords

Characterizationblocking timescoefficient of variationexponential distribution

MSC classification

Primary: 62E10: Characterization and structure theory
Secondary: 60E05: Distributions
Type
Short Communications
Information
Journal of Applied Probability , Volume 35 , Issue 1 , March 1998 , pp. 236 - 239
Copyright
Copyright © Applied Probability Trust 1998 

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References

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