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Tests for nonergodicity of denumerable continuous time Markov processes
- Authors
- Kim, Bara; Lee, Inkyu
- Issue Date
- 3월-2008
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- nonergodicity; Kaplan' s condition; Markov process; queueing theory; retrial queue
- Citation
- COMPUTERS & MATHEMATICS WITH APPLICATIONS, v.55, no.6, pp.1310 - 1321
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMPUTERS & MATHEMATICS WITH APPLICATIONS
- Volume
- 55
- Number
- 6
- Start Page
- 1310
- End Page
- 1321
- ISSN
- 0898-1221
- 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. (c) 2007 Elsevier Ltd. All rights reserved.
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