Inventory Models with Markovian Demands and Cost Functions of Polynomial Growth
作者： Michael I. Taksar , Michael I. Taksar , Suresh Sethi , Dirk Beyer
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摘要: This paper studies stochastic inventory problems with unbounded Markovian demands, ordering costs that are lower semicontinuous, and inventory/backlog (or surplus) semicontinuous polynomial growth. Finite-horizon problems, stationary nonstationary discounted-cost infinite-horizon long-run average-cost addressed. Existence of optimal Markov or feedback policies is established. Furthermore, optimality (s, S)-type proved when, in addition, the cost consists fixed proportional components surplus convex.
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