Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/85600 
Year of Publication: 
1997
Series/Report no.: 
Tinbergen Institute Discussion Paper No. 97-114/4
Publisher: 
Tinbergen Institute, Amsterdam and Rotterdam
Abstract: 
In this paper an inventory model with several demand classes, prioritised according to importance, is analysed. We consider a lot-for-lot or (S-1,S) inventory model with lost sales.For each demand class there is a critical stock level at and below which demand from that class is not satisfied from stock on hand. In this way stock is retained to meet demand from higher priority demand classes. A set of such critical levels determines the stocking policy. For Poisson demand and a generally distributed lead time we derive expressions for the service levels for each demand class and the average total cost per unit time. Efficient solution methods for obtaining optimal policies, with and withoutservice level constraints, are presented. Numerical experiments in which the solution methods are tested demonstrate that significant cost reductions can be achieved by distinguishing between demand classes.
Subjects: 
Inventory
demand classes
spare parts
lost sales
rationing
Document Type: 
Working Paper

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