Tests for nonergodicity of denumerable continuous time Markov processes

Kim, Bara; Lee, Inkyu

doi:10.1016/j.camwa.2007.07.003

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Tests for nonergodicity of denumerable continuous time Markov processes

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7

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10

초록

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. (c) 2007 Elsevier Ltd. All rights reserved.

키워드

nonergodicity; Kaplan's condition; Markov process; queueing theory; retrial queue; SUFFICIENT CONDITIONS; ERGODICITY; RECURRENCE

제목: Tests for nonergodicity of denumerable continuous time Markov processes

저자: Kim, Bara; Lee, Inkyu

DOI: 10.1016/j.camwa.2007.07.003

발행일: 2008-03

유형: Article

저널명: Computers and Mathematics with Applications

권: 55

호: 6

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