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Continuous production/inventory model with analogy to certain queueing and dam models

Published online by Cambridge University Press:  01 July 2016

David Perry  and
Benny Levikson
David Perry*
Affiliation:
Haifa University
Benny Levikson
Affiliation:
Haifa University
*
∗Currently visiting the Department of Management Science, University of Waterloo, Ontario, Canada N2L 3G1.
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Abstract

We consider two storage/production systems in which items are produced continuously over time with fixed rate. In the first system items have infinite lifetime, while in the second system the lifetime of the items are finite and fixed. The inventory level distributions and other important functionals associated with these storage systems are derived. This derivation is accomplished by an analogy existing between the storage systems and certain queueing systems and a finite dam model. Optimization problems connected with these systems are also considered.

Keywords

STORAGE/PRODUCTION MODELVIRTUAL WAITING TIMEELAPSED WAITING TIMEQUEUEING SYSTEM WITH IMPATIENT CUSTOMERSFINITE DAM
Type
Research Article
Information
Advances in Applied Probability , Volume 21 , Issue 1 , March 1989 , pp. 123 - 141
Copyright
Copyright © Applied Probability Trust 1989 

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Footnotes

Postal address for both authors: Dept. of Statistics, Haifa University, Mt. Carmel, Haifa 31999, Israel.

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