Optimal Strategies for Inventory Control Systems with a Convex Cost Function

被引:0
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作者
S. S. Demchenko
A. P. Knopov
V. A. Pepelyaev
机构
[1] National Academy of Sciences of Ukraine,Cybernetics Institute
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关键词
inventory control system; controlled Markovian process; optimization; convex cost function; Bellman equation;
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摘要
Some controlled Markovian processes in discrete time in the context of optimization of inventory control systems are studied. Optimality of (s, S)-policies for the case of convex cost functions is proved using theorems on existence and uniqueness of a nonrandomized stationary optimal policy for Markovian processes with discrete time and a continuous control set for criteria characterizing mean costs per unit time and overestimated total costs and Bellman equations.
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页码:891 / 897
页数:6
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