A make-to-stock mountain-type inventory model

Onno Boxma, Mahmut Parlar () and David Perry

Annals of Operations Research, 2015, vol. 231, issue 1, 65-77

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 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. Copyright Springer Science+Business Media New York 2015

Date: 2015
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DOI: 10.1007/s10479-013-1370-z

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