Local stability in a transient Markov chain

Ivo Adan, Sergey Foss, Seva Shneer, Gideon Weiss

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number108855
Number of pages6
JournalStatistics and Probability Letters
Volume165
DOIs
Publication statusPublished - 1 Oct 2020

Keywords

  • Jackson networks
  • Local stability
  • Markov chains
  • Polling systems
  • Skill based service
  • QUEUING-SYSTEMS

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