Non-ergodicity criteria for denumerable continuous time Markov processes

Bong Dae Choi; Bara Kim

doi:10.1016/j.orl.2004.03.001

Non-ergodicity criteria for denumerable continuous time Markov processes

Bong Dae Choi, Bara Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

18 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 language	English
Pages (from-to)	574-580
Number of pages	7
Journal	Operations Research Letters
Volume	32
Issue number	6
DOIs	https://doi.org/10.1016/j.orl.2004.03.001
Publication status	Published - 2004 Nov

Keywords

Ergodicity
Markov process
Non-ergodicity
Queueing theory
Test function

ASJC Scopus subject areas

Software
Management Science and Operations Research
Industrial and Manufacturing Engineering
Applied Mathematics

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10.1016/j.orl.2004.03.001

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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.",

keywords = "Ergodicity, Markov process, Non-ergodicity, Queueing theory, Test function",

author = "Choi, {Bong Dae} and Bara Kim",

note = "Funding Information: This research was supported by University IT research Center Project. ",

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AU - Choi, Bong Dae

AU - Kim, Bara

N1 - Funding Information: This research was supported by University IT research Center Project.

PY - 2004/11

Y1 - 2004/11

N2 - 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.

AB - 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.

KW - Ergodicity

KW - Markov process

KW - Non-ergodicity

KW - Queueing theory

KW - Test function

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JO - Operations Research Letters

JF - Operations Research Letters

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ER -

Non-ergodicity criteria for denumerable continuous time Markov processes

Abstract

Keywords

ASJC Scopus subject areas

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