Average Cost Optimality in Inventory Models With Dynamic Information Delays

被引：5

作者：

Bensoussan, Alain ^{[1
]}

Cakanyildirim, Metin ^{[1
]}

Sethi, Suresh P. ^{[1
]}

Wang, Mingzheng ^{[2
]}

Zhang, Hanqin ^{[3
]}

机构：

[1] Univ Texas Dallas, Sch Management, Richardson, TX 75080 USA

[2] Dalian Univ Technol, Sch Management, Dalian 116024, Peoples R China

[3] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2011年 / 56卷 / 12期

关键词：

Average cost optimality; base stock policies; dynamic information delays; partial observations; stochastic inventory; OPTIMAL ORDERING POLICIES; NEWSVENDOR; SYSTEMS;

D O I：

10.1109/TAC.2011.2144650

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Information delays exist when the most recent inventory information available to the Inventory Manager (IM) is dated. In other words, the IM observes only the inventory level that belongs to an earlier period. Such situations are not uncommon, and they arise when it takes a while to process the demand data and pass the results to the IM. In this paper, we establish that the average cost optimal policy is of state-dependent basestock type with respect to the reference inventory position. We show that the optimal base stock depends on the age and the magnitude of the latest observed delay. We illustrate the results by solving an example with delays of 0 and 1, for which we are able to obtain formulas/bounds for the basestock levels.

引用

页码：2863 / 2876

页数：14

共 29 条

[1]

Angulo A., 2004, Journal of Business Logistics, V25, P101, DOI 10.1002/j.2158-1592.2004.tb00171.x

[2]

[Anonymous], 2000, Dynamic programming and optimal control

[3]

[Anonymous], 1958, STUDIES MATH THEORY

[4] DISCRETE-TIME CONTROLLED MARKOV-PROCESSES WITH AVERAGE COST CRITERION - A SURVEY [J].

ARAPOSTATHIS, A ;

BORKAR, VS ;

FERNANDEZGAUCHERAND, E ;

GHOSH, MK ;

MARCUS, SI .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1993, 31 (02) :282-344

[5] A partially observed Markov decision process for dynamic pricing [J].

Aviv, Y ;

Pazgal, A .

MANAGEMENT SCIENCE, 2005, 51 (09) :1400-1416

[6]

AXSATER S, 2001, INVENTORY CONTROL

[7]

BALL MO, 2002, SIGMOD RECORD WEB ED, V31

[8] On the optimal control of partially observed inventory systems [J].

Bensoussan, A ;

Çakanyildirim, M ;

Sethi, SP .

COMPTES RENDUS MATHEMATIQUE, 2005, 341 (07) :419-426

[9]

Bensoussan A, 2006, J OPTIMIZ THEORY APP, V130, P153, DOI 10.1007/510957-006-9106-8

[10] PARTIALLY OBSERVED INVENTORY SYSTEMS: THE CASE OF RAIN CHECKS [J].

Bensoussan, Alain ;

Cakanyildirim, Metin ;

Minjarez-Sosa, J. Adolfo ;

Sethi, Suresh P. ;

Shi, Ruixia .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 47 (05) :2490-2519

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