## Abstract Using Markov renewal theory, we derive analytic expressions for the expected average cost associated with __(s, S)__ policies for a continuous review inventory model with a compound Poisson demand process and stochastic lead time, under the (restrictive) assumption that only one order c
A time dependent continuous review inventory model with compound poisson demand
โ Scribed by P. Banerjee; A. Hamidi-Noori; W. Knight
- Publisher
- John Wiley and Sons
- Year
- 1985
- Tongue
- English
- Weight
- 426 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0894-069X
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โฆ Synopsis
Abstract
We discuss a time dependent optimal ordering policy for a finite horizon inventory system for which the provision of service is essential and thus no stockout is allowed. It is assumed that the system can place an order at any point in time during the horizon when it cannot meet the customer's demand and that lead time is negligible. The demand is considered to be distributed as a compound Poisson process with known parameters and the functional equation approach of dynamic programming is used to formulate the objective function. An algorithm has been developed to obtain the solution for all the cases. In addition, analytical solutions of the basic equation under two limiting conditions are presented.
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