Jonathan B. Goodman, William Alfred Massey

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


The authors generalize Jackson's theorem to the non-ergodic case. Here, despite the fact that the entire Jackson network will not achieve steady state, it is still possible to determine the maximal subnetwork that does. They do so by formulating and algorithmically solving a new non-linear throughput equation. These results, together with the ergodic results and the ones for closed networks, completely characterize the large-time behavior of any Jackson network.

Original languageEnglish (US)
Pages (from-to)860-869
Number of pages10
JournalJournal of Applied Probability
Issue number4
StatePublished - Jan 1 1984
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Mathematics(all)
  • Statistics, Probability and Uncertainty

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