Tests for the Nonergodicity of Multidimensional Markov Chains

Linn I. Sennott
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Linn I. Sennott: Illinois State University, Normal, Illinois

Operations Research, 1985, vol. 33, issue 1, 161-167

Abstract: A Markov chain is ergodic if it has a proper steady-state distribution. The stability of a queueing system often reduces to the ergodicity of an underlying multidimensional chain. We gave criteria for the nonergodicity of a multidimensional Markov chain and a generalization to continuous time Markov chains. We also give queueing model examples.

Keywords: 567 ergodicity of multidimensional Markov chains; 705 stability of Markovian queueing systems (search for similar items in EconPapers)
Date: 1985
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