Stochastic storage networks: Stationarity and the feedforward case

Offer Kella*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


We show that for a certain storage network the backward content process is increasing, and when the net input process has stationary increments then, under natural stability conditions, the content process has a stationary version under which the cumulative lost capacities have stationary increments. Moreover, for the feedforward case, we show that under some minimal conditions, two content processes with net input processes which differ only by initial conditions can be coupled in finite time and that the difference of two content processes vanishes in the limit if the difference of the net input processes monotonically approaches a constant. As a consequence, it is shown that for the natural stability conditions, when the net input process has stationary increments, the distribution of the content process converges in total variation to a proper limit, independent of initial conditions.

Original languageAmerican English
Pages (from-to)498-507
Number of pages10
JournalJournal of Applied Probability
Issue number2
StatePublished - Jun 1997


  • Fluid networks
  • Reflected processes
  • Stability
  • Storage networks


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