Non-product form of two-dimensional fluid networks with dependent Lévy inputs

Offer Kella*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We show that the stationary distribution of a two-dimensional stochastic fluid network with (possibly dependent) Lévy inputs does not have product form other than in truly obvious cases. This is in contrast to queueing networks, where product form exists for non-obvious situations in which the inputs are independent, and for Brownian networks, where it typically exists for cases where the driving processes are actually dependent.

Original languageEnglish
Pages (from-to)1117-1122
Number of pages6
JournalJournal of Applied Probability
Issue number4
StatePublished - 1 Jan 2000


  • Lévy process
  • Non-product form
  • Reflected process
  • Stochastic fluid networks


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