Tests for nonergodicity of denumerable continuous time Markov processes

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9 Citations (Scopus)

Abstract

We provide nonergodicity criteria for denumerable continuous time Markov processes in terms of test functions that satisfy Kaplan's condition, which resolves an open problem given by [B.D. Choi, B. Kim, nonergodicity criteria for denumerable continuous time Markov processes, and Operations Research Letters 32 (2004) 575-580]. We give two examples where the nonergodicity criteria are used.

Original languageEnglish
Pages (from-to)1310-1321
Number of pages12
JournalComputers and Mathematics with Applications
Volume55
Issue number6
DOIs
Publication statusPublished - 2008 Mar

Keywords

  • Kaplan's condition
  • Markov process
  • Nonergodicity
  • Queueing theory
  • Retrial queue

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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