Tests for nonergodicity of denumerable continuous time Markov processes

Research output: Contribution to journalArticle

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 1

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Continuous-time Markov Process
Markov processes
Operations research
Operations Research
Test function
Open Problems
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Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Modelling and Simulation

Cite this

Tests for nonergodicity of denumerable continuous time Markov processes. / Kim, Bara; Lee, Inkyu.

In: Computers and Mathematics with Applications, Vol. 55, No. 6, 01.03.2008, p. 1310-1321.

Research output: Contribution to journalArticle

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