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Inventory systems of perishable commodities

Published online by Cambridge University Press:  01 July 2016

H. Kaspi*
Affiliation:
Technion—Israel Institute of Technology
D. Perry*
Affiliation:
Technion—Israel Institute of Technology
*
Postal address for both authors: Faculty of Industrial Engineering and Management, Technion—Israel Institute of Technology, Technion City, Haifa 32000, Israel.
Postal address for both authors: Faculty of Industrial Engineering and Management, Technion—Israel Institute of Technology, Technion City, Haifa 32000, Israel.

Abstract

This paper deals with the blood-bank model; namely, an inventory system in which both arrival of items and demand are stochastic and items stored have finite lifetimes. We assume that the arrival and demand processes are independent Poisson processes. We use an analogy with queueing models with impatient customers to obtain some of the important characteristics of the system.

Type
Research Article
Copyright
Copyright © Applied Probability Trust 1983 

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References

[1] Cohen, J. W. (1976) On Regenerative Processes in Queueing Theory. Springer-Verlag, Berlin.Google Scholar
[2] Cohen, J. W. (1977) On up- and downcrossings. J. Appl. Prob. 14, 405410.Google Scholar
[3] Cohen, J. W. (1982) The Single Server Queue, 2nd edn. North-Holland, Amsterdam.Google Scholar
[4] Cohen, J. W. and Rubinovitch, M. (1977) On level crossings and cycles in dam processes. Math. Operat. Res. 2, 297310.CrossRefGoogle Scholar
[5] Fristedt, B. (1974) Sample functions of stochastic processes with stationary independent increments. In Advances in Probability and Related Topics 3, ed. Ney, P. and Port, S., Dekker, New York, 241384.Google Scholar
[6] Perry, D. (1983) Inventory Systems with Perishable Commodities. , Technion-Israel Institute of Technology.Google Scholar
[7] Rosencrantz, W. A. (1981) Some martingales associated with queueing and storage processes. Z. Wahrscheinlichkeitsth. 58, 205222.Google Scholar