Continuous review (s,S) policies for inventory systems incorporating a cutoff transaction size

Continuous review (s,S) policies for inventory systems incorporating a cutoff transaction size

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Article ID: iaor1996741
Country: United Kingdom
Volume: 33
Issue: 10
Start Page Number: 2855
End Page Number: 2865
Publication Date: Oct 1995
Journal: International Journal of Production Research
Authors: , ,
Abstract:

In this paper, a mathematical model is developed for the analysis of optimal replenishment policies for items which experience lumpy demands. In order to avoid disrupting the inventory system, a cutoff transaction size of w units is specified such that customer demands with sizes exceeding w units will be filtered out of the inventory system and treated as special orders to be satisfied by special deliveries. Customer demands with sizes ¸•w units will be met from stock. The control discipline is the (s,S) inventory policy with continuous review and the nature of the demands is approximated by a stuttering Poisson distribution. Recursive formulae are developed for the determination of the probabilities of the lead time demand and the available inventory position. The optimal values of the control parameters, s and S, are determined. The theoretical results obtained are illustrated with a numerical example.

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