Stability of feed-forward fluid networks with lévy input

Haya Kaspi*, Offer Kella

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We consider a stochastic fluid network with independent subordinator inputs to the various stations and deterministic internal flow which is of feed-forward type. We show that under suitable conditions the process of fluid contents in the station has a limiting distribution, where the limit holds in total variation and is independent of the initial condition. We also show that this limiting distribution is of product form only for trivial setups.

Original languageAmerican English
Pages (from-to)513-522
Number of pages10
JournalJournal of Applied Probability
Issue number2
StatePublished - Jun 1996


  • Fluid networks
  • Lévy process
  • Storage models
  • Subordinator


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