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Volume :28 Issue : 2 2001
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A simple unreliable service model characterizes exponential distribution
Auther : B. DIMITROV, S. CHUKOVA AND S. CHAKRAVARTHY
Department of Science and Mathematics, Kettering University, Flint, MI 48504-4898
ABSTRACT
A new characterization of the exponential distribution via invariant property of probability distributions of the execution time in queuing models with an unreliable server, and no more than two interruptions of service are discussed. The original conditions of known similar characterizations have been weakened.
Kewwords: Characterization theorem; lack of memory property; NBU and NWU families; occupation time; reliability; unreliable server.
AMS 1991 Subject Classification: Primary: 60E99, Secondary: 62E10, 60K10.