Jackson networks with unlimited supply of work

Research output: Contribution to journalArticlepeer-review


We consider a Jackson network in which some of the nodes have an infinite supply of work: when all the customers queued at such a node have departed, the node will process a customer from this supply. Such nodes will be processing jobs all the time, so they will be fully utilized and experience a traffic intensity of 1. We calculate flow rates for such networks, obtain conditions for stability, and investigate the stationary distributions. Standard nodes in this network continue to have product-form distributions, while nodes with an infinite supply of work have geometric marginal distributions and Poisson inflows and outflows, but their joint distribution is not of product form.

Original languageEnglish
Pages (from-to)879-882
Number of pages4
JournalJournal of Applied Probability
Issue number3
StatePublished - Sep 2005


  • Infinite virtual buffer
  • Jackson network
  • Queue

ASJC Scopus subject areas

  • Statistics and Probability
  • General Mathematics
  • Statistics, Probability and Uncertainty


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