Non-ergodicity criteria for denumerable continuous time Markov processes

Bong Dae Choi, Bara Kim

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The non-ergodicity test functions for the denumerable continuous time Markov processes were studied. Ergodicity and non-ergodicity test functions were used as standards in stability analysis of queueing models. It was found that most of the non-ergodicity criteria for denumerable Markov processes were for discrete time markov processes (DTMP). Analysis shows that the non-ergodicity criteria for continuous time markov processes (CTMP) was applied in queuing theory.

Original languageEnglish
Pages (from-to)574-580
Number of pages7
JournalOperations Research Letters
Volume32
Issue number6
DOIs
Publication statusPublished - 2004 Nov 1

Fingerprint

Continuous-time Markov Process
Test function
Markov Process
Markov processes
Queuing Theory
Queueing Model
Ergodicity
Stability Analysis
Discrete-time
Markov process
Continuous time
Standards

Keywords

  • Ergodicity
  • Markov process
  • Non-ergodicity
  • Queueing theory
  • Test function

ASJC Scopus subject areas

  • Management Science and Operations Research
  • Statistics, Probability and Uncertainty
  • Discrete Mathematics and Combinatorics
  • Modelling and Simulation

Cite this

Non-ergodicity criteria for denumerable continuous time Markov processes. / Choi, Bong Dae; Kim, Bara.

In: Operations Research Letters, Vol. 32, No. 6, 01.11.2004, p. 574-580.

Research output: Contribution to journalArticle

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