On a Continuous Review Production-Inventory Problem

Publication Type

Journal Article

Publication Date

10-1984

Abstract

This paper considers a one-product, one-machine production-inventory problem operating under an (s, S) policy. The production facility may be set up and in production, shut down and idle or failed and under repair. Back-order is not permitted. By identifying a semi-regenerative process, expressions for the probability mass function for the inventory process at any time and in the stationary regime are obtained. The distribution for the total duration of idleness of the machine upto any time is derived. Cost analysis is also indicated.

Keywords

production, inventory, Markov renewal and semi-regenerative processes

Discipline

Operations and Supply Chain Management | Operations Research, Systems Engineering and Industrial Engineering

Research Areas

Operations Management

Publication

Operations Research Letters

Volume

3

Issue

4

First Page

199

Last Page

204

ISSN

0167-6377

Identifier

10.1016/0167-6377(84)90026-9

Publisher

Elsevier

Additional URL

https://doi.org/10.1016/0167-6377(84)90026-9

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