Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-28T07:07:18.613Z Has data issue: false hasContentIssue false
  • English
  • Français

Inventory systems of perishable commodities

Published online by Cambridge University Press:  01 July 2016

H. Kaspi  and
D. Perry
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.
Get access Rights & Permissions [Opens in a new window]

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.

Keywords

QUEUEING SYSTEMS WITH IMPATIENT CUSTOMERSVIRTUAL WAITING-TIMEMARTINGALES
Type
Research Article
Information
Advances in Applied Probability , Volume 15 , Issue 3 , September 1983 , pp. 674 - 685
Copyright
Copyright © Applied Probability Trust 1983 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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, 405–410.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, 297–310.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, 241–384.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, 205–222.Google Scholar