A two-node Jackson network with infinite supply of work

Ivo Adan, Gideon Weiss

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a Jackson network with two nodes, with no exogenous input, but instead an infinite supply of work at each of the nodes: Whenever a node is empty, it processes a job from this infinite supply. We obtain an explicit expression for the steady state distribution of this system, as an infinite sum of product forms.

Original languageEnglish
Pages (from-to)191-212
Number of pages22
JournalProbability in the Engineering and Informational Sciences
Volume19
Issue number2
DOIs
StatePublished - 2005

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering

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