A make-to-stock mountain-type inventory model

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

Research output: Book/ReportReportAcademic

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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
Place of PublicationEindhoven
PublisherEurandom
Number of pages15
Publication statusPublished - 2011

Publication series

NameReport Eurandom
Volume2011029
ISSN (Print)1389-2355

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