(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

[21] (S, S) INVENTORY SYSTEMS WITH LOST SALES AND MARKOV RENEWAL DEMANDS
KALPAKAM, S
ARIVARIGNAN, G
MATHEMATICAL AND COMPUTER MODELLING, 1989, 12 (12) : 1511 - 1520
[22] Optimality of state-dependent (s, S) policies in inventory models with Markov-modulated demand and lost sales
Cheng, F
Sethi, SP
PRODUCTION AND OPERATIONS MANAGEMENT, 1999, 8 (02) : 183 - 192
[23] ASSESSING POOLING POLICIES IN MULTI-RETAILER INVENTORY SYSTEM WITH LOST SALES
Tlili, Mounira
Moalla, Mohamed
Campagne, Jean-Pierre
Bahroun, Zied
EMSS 2008: 20TH EUROPEAN MODELING AND SIMULATION SYMPOSIUM, 2008, : 730 - +
[24] Modified base-stock policies for continuous-review, lost-sales inventory models with Poisson demand and a fixed lead time
Johansen, Soren Glud
INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS, 2013, 143 (02) : 379 - 384
[25] UCB-Type Learning Algorithms with Kaplan-Meier Estimator for Lost-Sales Inventory Models with Lead Times
Lyu, Chengyi
Zhang, Huanan
Xin, Linwei
OPERATIONS RESEARCH, 2024, 72 (04) : 1317 - 1332
[26] A stock rationing policy in a (s,S)-controlled stochastic production system with 2-phase Coxian processing times and lost sales
Lee, JE
Hong, YS
INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS, 2003, 83 (03) : 299 - 307
[27] Efficient Policies for an Inventory System with Power Demand Pattern and Mixture of Backorders and Lost Sales
Sicilia-Rodriguez, J.
Febles-Acosta, J.
Gonzalez-De la Rosa, M.
2009 IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING AND ENGINEERING MANAGEMENT, VOLS 1-4, 2009, : 1753 - +
[28] Inventory management with auctions and other sales channels:: Optimality of (s, S) policies
Huh, Woonghee Tim
Janakiraman, Ganesh
MANAGEMENT SCIENCE, 2008, 54 (01) : 139 - 150
[29] On the (S-1, S) lost sales inventory model with priority demand classes
Dekker, R
Hill, RM
Kleijn, MJ
Teunter, RH
NAVAL RESEARCH LOGISTICS, 2002, 49 (06) : 593 - 610
[30] SERVICE CONSTRAINED (S, S) INVENTORY SYSTEMS WITH PRIORITY DEMAND CLASSES AND LOST SALES
COHEN, MA
KLEINDORFER, PR
LEE, HL
MANAGEMENT SCIENCE, 1988, 34 (04) : 482 - 499

← 1 2 3 4 5 →