(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

共 50 条

[1] Robustness of Order-Up-to Policies in Lost-Sales Inventory Systems
Bijvank, Marco
Huh, Woonghee Tim
Janakiraman, Ganesh
Kang, Wanmo
OPERATIONS RESEARCH, 2014, 62 (05) : 1040 - 1047
[2] Asymptotic optimality of base-stock policies for lost-sales inventory systems with stochastic lead times
Yuan, Shilin
Lyu, Jiameng
Xie, Jinxing
Zhou, Yuan
OPERATIONS RESEARCH LETTERS, 2024, 57
[3] On the suboptimality of (S-1,S) lost sales inventory policies
Hill, RM
INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS, 1999, 59 (1-3) : 387 - 393
[4] A two-demand-class inventory system with lost-sales and backorders
Zhou, Yun
Zhao, Xiaobo
OPERATIONS RESEARCH LETTERS, 2010, 38 (04) : 261 - 266
[5] Supply interruptions in a lost-sales inventory system with random lead time
Mohebbi, E
COMPUTERS & OPERATIONS RESEARCH, 2003, 30 (03) : 411 - 426
[6] A lost-sales continuous-review inventory system with emergency ordering
Mohebbi, E
Posner, MJM
INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS, 1999, 58 (01) : 93 - 112
[7] Reducing lost-sales rate on the stochastic inventory model with defective goods for the mixtures of distributions
Lin, Hsien-Len
APPLIED MATHEMATICAL MODELLING, 2013, 37 (05) : 3296 - 3306
[8] New structural properties of (s, S) policies for inventory models with lost sales
Xu, Yanyi
Bisi, Arnab
Dada, Maqbool
OPERATIONS RESEARCH LETTERS, 2010, 38 (05) : 441 - 449
[9] Optimal Policies and Bounds for Stochastic Inventory Systems with Lost Sales
Li, Xiaoming
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2015, 164 (01) : 359 - 375
[10] Optimal Policies and Bounds for Stochastic Inventory Systems with Lost Sales
Xiaoming Li
Journal of Optimization Theory and Applications, 2015, 164 : 359 - 375

← 1 2 3 4 5 →