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An inventory system for perishable commodities with random lifetime

Published online by Cambridge University Press:  01 July 2016

David Perry
David Perry*
Affiliation:
Haifa University
*
∗Postal address: Department of Statistics, University of Haifa, Mount Carmel, Haifa 31 999, Israel.
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Abstract

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In this study we assume an inventory system for perishable commodities in which the lifetimes of the items stored are i.i.d. random variable with finite mean.

We utilize the analogy between this inventory system and a queueing system with impatient customers, to study the process of the lost demand, the death of the unused items and the number of items in the system.

Keywords

VIRTUAL WAITING TIMEVIRTUAL LOST DEMAND TIMEM/G/1 QUEUEING SYSTEMBUSY PERIODKEY RENEWAL THEOREM
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 17 , Issue 1 , March 1985 , pp. 234 - 236
Copyright
Copyright © Applied Probability Trust 1985 

References

1. Kaspi, H. and Perry, D. (1983) Inventory systems of perishable commodities. Adv. Appl. Prob. 15, 674–685.Google Scholar
2. Kaspi, H. and Perry, D. (1984) Inventory systems for perishable commodities with renewal input and Poisson output. Adv. Appl. Prob. 16, 402–421.Google Scholar
3. Ross, S. M. (1983) Stochastic Processes. Wiley, New York.Google Scholar