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The (S-1, S) Inventory Model with Order Size Dependent Delivery Times
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- Authors
- Issue Date
- 1987-04
- Citation
- J. of the Korean Operations Research and Management Science Society, 12, pp. 1-9, (1987)
- Keywords
- inventory ; Reparable Items ; Multi-Echelon ; Queues
- Abstract
- This paper considers (S-1, S) inventory models which have wide applications in reparable spare parts inventory systems and multi-echelon systems. We assume a discrete compound Poisson demand and order size dependent delivery times: when the replenishment order size is n, we assume the delivery time distribution is arbitrary with finite mean b.
On the basis of the fact the outstanding orders follow a certain queueing process, we introduce the results of Fakinos (1982). We develop the efficient recursive formulae to find the optimal S under several performance measures as a function of the decision variable S. The results of this paper can be applied to the multi-echelon systems such as METRIC.
- ISSN
- 1225-1119
- Language
- English
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