English

Local stability in a transient Markov chain

Probability 2020-06-22 v3

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.

Keywords

Cite

@article{arxiv.1511.06094,
  title  = {Local stability in a transient Markov chain},
  author = {Ivo Adan and Sergey Foss and Seva Shneer and Gideon Weiss},
  journal= {arXiv preprint arXiv:1511.06094},
  year   = {2020}
}

Comments

6 pages

R2 v1 2026-06-22T11:49:10.755Z