Inventory Control and Regenerative Processes: Theory

23 Pages Posted: 17 Sep 2007

See all articles by Peter den Iseger

Peter den Iseger

Cardano Risk Management

Emöke Oldenkamp

Cardano

J. B. G. Frenk

Erasmus University, Rotterdam (EUR) - Department of Econometrics ; Erasmus University, Rotterdam (EUR) - Erasmus Research Institute of Management (ERIM)

Date Written: 1999

Abstract

In this paper we will discuss a general framework for single item inventory models based on the theory of regenerative processes. After presenting without proof the main theorems for regenerative processes we analyze in detail how the different single item models can be embedded within this general theory. This facilitates to write down the expressions for the average cost associated with an arbitrary costrate function $f$, and some of the service measures, which appear most frequently in the literature.

Keywords: supply chain management, regenerative processes, inventory management, Laplace Transforms

Suggested Citation

Iseger, Peter den and Oldenkamp, Emöke and Frenk, J.B.G. (Hans), Inventory Control and Regenerative Processes: Theory (1999). Available at SSRN: https://ssrn.com/abstract=1014782 or http://dx.doi.org/10.2139/ssrn.1014782

Peter den Iseger (Contact Author)

Cardano Risk Management ( email )

Rotterdam 3011 AA
Netherlands
+31 10 2434747 (Phone)

HOME PAGE: http://www.cardano.com

Emöke Oldenkamp

Cardano ( email )

Rotterdam 3011 AA
Netherlands

J.B.G. (Hans) Frenk

Erasmus University, Rotterdam (EUR) - Department of Econometrics ( email )

P.O. Box 1738
3000 DR Rotterdam
Netherlands
+31 0 10 408 1257 (Phone)
+31 0 10 408 9162 (Fax)

Erasmus University, Rotterdam (EUR) - Erasmus Research Institute of Management (ERIM)

P.O. Box 1738
3000 DR Rotterdam
Netherlands

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