Local stability in a transient Markov chain

2015/11/19 by Adan, Ivo, Foss, Sergey, Shneer, Seva +1 · 1 citation
#60J20 #68M20 #90B22 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1511.06094

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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