(s, S ) Inventory policies for stochastic controlled system of Lindley-type with lost-sales

被引：0

作者：

Blancas-Rivera, Ruben ^{[1
]}

Cruz-Suarez, Hugo ^{[1
]}

Portillo-Ramirez, Gustavo ^{[1
]}

Lopez-Rios, Ruy ^{[1
]}

机构：

[1] Benemcrita Univ Autonoma Puebla, Fac Ciencias Fis Matemat, Ave San Claudio, San Manuel 72570, Puebla, Mexico

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 08期

关键词：

Markov control processes; Lindley random walk; inventory control system; (s; S ) policies; OPTIMALITY; MODELS;

D O I：

10.3934/math.2023997

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a characterization of (s , S )-inventory policies for Lindley systems with possibly unbounded costs, where the objective is to minimize the expected discounted total cost by ordering (production) strategies. Moreover, the existence of a subsequence of minimizers of the value iteration functions that converge to a (s , S ) optimal inventory system policy is shown. A numerical example is given to illustrate the theory.

引用

页码：19546 / 19565

页数：20

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