On the optimality of (s, S)-strategies in a minimax inventory model with average cost criterion
- 1 January 1991
- journal article
- research article
- Published by Taylor & Francis in Optimization
- Vol. 22 (1) , 123-138
- https://doi.org/10.1080/02331939108843651
Abstract
A stochastic dynamic inventory problem is considered in which the distribution function of the demand and the holding and shortage cost depend on an unknown parameter. This problem is interpreted as a Markov game with complete information, It is shown that for the average cost criterion as for the discounted cost criterion an optimal (s, S)-strategy exists. Bounds for the parameters of such a strategy are given.Keywords
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