A make-to-stock mountain-type inventory model

O.J. Boxma, M. Parlar, D. Perry

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)
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Abstract

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 a(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
JournalAnnals of Operations Research
Volume231
DOIs
Publication statusPublished - 2015

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Buffer
Inventory model
Make-to-stock
Queue
Markov process

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Boxma, O.J. ; Parlar, M. ; Perry, D. / A make-to-stock mountain-type inventory model. In: Annals of Operations Research. 2015 ; Vol. 231. pp. 65-77.
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A make-to-stock mountain-type inventory model. / Boxma, O.J.; Parlar, M.; Perry, D.

In: Annals of Operations Research, Vol. 231, 2015, p. 65-77.

Research output: Contribution to journalArticleAcademicpeer-review

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