A make-to-stock mountain-type inventory model

Onno J. Boxma, Mahmut Parlar, David Perry

Research output: Contribution to journalArticlepeer-review


We consider the buffer content of a fluid queue or storage process. The buffer content varies in a way that depends on the state of an underlying three-state Markov process. In state 0 the buffer content increases at a rate α(x) that is a function of the current buffer level x; in states 1 and 2 it decreases linearly, with different speeds. We study the steady-state buffer content, by using level crossing theory and by exploiting relations between the fluid queue and queues with instantaneous input and/or output.

Original languageEnglish
Pages (from-to)65-77
Number of pages13
JournalAnnals of Operations Research
Issue number1
StatePublished - 2 Aug 2015

Bibliographical note

Publisher Copyright:
© 2013, Springer Science+Business Media New York.

ASJC Scopus subject areas

  • General Decision Sciences
  • Management Science and Operations Research

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