Tests for nonergodicity of denumerable continuous time Markov processes

Bara Kim; Inkyu Lee

doi:10.1016/j.camwa.2007.07.003

Tests for nonergodicity of denumerable continuous time Markov processes

Bara Kim^*
, Inkyu Lee

^*Corresponding author for this work

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

10 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 language	English
Pages (from-to)	1310-1321
Number of pages	12
Journal	Computers and Mathematics with Applications
Volume	55
Issue number	6
DOIs	https://doi.org/10.1016/j.camwa.2007.07.003
Publication status	Published - 2008 Mar

Bibliographical note

Funding Information:
This research was supported by the MIC (Ministry of Information and Communication), Korea, under the ITRC (Information Technology Research Center) support program supervised by the IITA (Institute of Information Technology Assessment).

Keywords

Kaplan's condition
Markov process
Nonergodicity
Queueing theory
Retrial queue

ASJC Scopus subject areas

Modelling and Simulation
Computational Theory and Mathematics
Computational Mathematics

Access to Document

10.1016/j.camwa.2007.07.003

Cite this

@article{b77a359fd4e04c9bac25186b01ee9ab9,

title = "Tests for nonergodicity of denumerable continuous time Markov processes",

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.",

keywords = "Kaplan's condition, Markov process, Nonergodicity, Queueing theory, Retrial queue",

author = "Bara Kim and Inkyu Lee",

note = "Funding Information: This research was supported by the MIC (Ministry of Information and Communication), Korea, under the ITRC (Information Technology Research Center) support program supervised by the IITA (Institute of Information Technology Assessment). ",

year = "2008",

month = mar,

doi = "10.1016/j.camwa.2007.07.003",

language = "English",

volume = "55",

pages = "1310--1321",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

publisher = "Elsevier Ltd",

number = "6",

}

TY - JOUR

T1 - Tests for nonergodicity of denumerable continuous time Markov processes

AU - Kim, Bara

AU - Lee, Inkyu

N1 - Funding Information: This research was supported by the MIC (Ministry of Information and Communication), Korea, under the ITRC (Information Technology Research Center) support program supervised by the IITA (Institute of Information Technology Assessment).

PY - 2008/3

Y1 - 2008/3

N2 - 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.

AB - 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.

KW - Kaplan's condition

KW - Markov process

KW - Nonergodicity

KW - Queueing theory

KW - Retrial queue

UR - https://www.scopus.com/pages/publications/38849091299

U2 - 10.1016/j.camwa.2007.07.003

DO - 10.1016/j.camwa.2007.07.003

M3 - Article

AN - SCOPUS:38849091299

SN - 0898-1221

VL - 55

SP - 1310

EP - 1321

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 6

ER -

Tests for nonergodicity of denumerable continuous time Markov processes

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this