A Simple Unreliable Service Model Characterizes Exponential Distribution

Boyan Dimitrov, Stefanka Chukova, Srinivas R. Chakravarthy

Research output: Contribution to journalArticlepeer-review

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.

Original languageAmerican English
JournalKuwait Journal of Science and Engineering
Volume28
StatePublished - Jan 1 2001

Keywords

  • Characterization theorem
  • lack of memory property
  • NBU and NWU families
  • occupation time
  • reliability
  • unreliable server.

Disciplines

  • Industrial Engineering

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