Characterizations of the Exponential Distribution via the Blocking Time in a Queueing System with an Unreliable Server
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 variab...
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Published in: | Journal of applied probability 1998-03, Vol.35 (1), p.236-239 |
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Main Author: | |
Format: | Article |
Language: | eng |
Subjects: | |
Online Access: | Get full text |
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Summary: | 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. |
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ISSN: | 0021-9002 1475-6072 |