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arXiv · 1511.06094

Local stability in a transient Markov chain

Ivo Adan·Sergey Foss·Seva Shneer·Gideon Weiss
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Abstract

We prove two propositions with conditions that a system, which is described by a transient Markov chain, will display local stability. Examples of such systems include partly overloaded Jackson networks, partly overloaded polling systems, and overloaded multi-server queues with skill based service, under first come first served policy.

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Ivo Adan, Sergey Foss, Seva Shneer, Gideon Weiss. 2020-06-19. Local stability in a transient Markov chain. https://arxiv.org/abs/1511.06094

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