Optimal strategies for inventory control systems with a convex cost function

被引:4
|
作者
Demchenko, SS [1 ]
Knopov, AP [1 ]
Pepelyaev, VA [1 ]
机构
[1] Natl Acad Sci Ukraine, Inst Cybernet, Kiev, Ukraine
关键词
inventory control system; controlled Markovian process; optimization; convex cost function; Bellman equation;
D O I
10.1023/A:1009413511883
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
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.
引用
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页码:891 / 897
页数:7
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