On/off storage systems with state-dependent input, output, and switching rates

Onno Boxma*, Haya Kaspi, Offer Kella, David Perry

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

48 Scopus citations

Abstract

We consider a storage model that can be on or off. When on, the content increases at some state-dependent rate and the system can switch to the off state at a state-dependent rate as well. When off, the content decreases at some state-dependent rate (unless it is at zero) and the system can switch to the on position at a state-dependent rate. This process is a special case of a piecewise deterministic Markov process. We identify the stationary distribution and conditions for its existence and uniqueness.

Original languageAmerican English
Pages (from-to)1-14
Number of pages14
JournalProbability in the Engineering and Informational Sciences
Volume19
Issue number1
DOIs
StatePublished - 2005

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