A Simple Unreliable Service Model Characterizes Exponential Distribution

Boyan N. Dimitrov, Kettering University
Srinivas R. Chakravarthy, Kettering University


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.