Technical Note-Optimal Structural Results for Assemble-to-Order Generalized M-Systems

被引：33
作者：
Nadar, Emre [1 ]
Akan, Mustafa [2 ]
Scheller-Wolf, Alan [2 ]
机构：
[1] Bilkent Univ, Dept Ind Engn, TR-06800 Ankara, Turkey
[2] Carnegie Mellon Univ, Tepper Sch Business, Pittsburgh, PA 15213 USA
来源：
OPERATIONS RESEARCH | 2014年 / 62卷 / 03期
关键词：
MULTIPLE CUSTOMER CLASSES; DEMAND CLASSES; INVENTORY CONTROL; STOCK QUEUE; ALLOCATION;
D O I：
10.1287/opre.2014.1271
中图分类号：
C93 [管理学];
学科分类号：
12 ; 1201 ; 1202 ; 120202 ;
摘要：
We consider an assemble-to-order generalized M -system with multiple components and multiple products, batch ordering of components, random lead times, and lost sales. We model the system as an infinite-horizon Markov decision process and seek an optimal policy that specifies when a batch of components should be produced (i.e., inventory replenishment) and whether an arriving demand for each product should be satisfied (i. e., inventory allocation). We characterize optimal inventory replenishment and allocation policies under a mild condition on component batch sizes via a new type of policy: lattice-dependent base stock and lattice-dependent rationing.
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收藏
页码：571 / 579
页数：9
相关论文
共 20 条
[1]  
[Anonymous], 1998, Supermodularity and complementarity
[2]   Production and inventory control of a single product assemble-to-order system with multiple customer classes [J].
Benjaafar, Saif ;
ElHafsi, Mohsen .
MANAGEMENT SCIENCE, 2006, 52 (12) :1896-1912
[3]   Optimal Control of an Assembly System with Multiple Stages and Multiple Demand Classes [J].
Benjaafar, Saif ;
ElHafsi, Mohsen ;
Lee, Chung-Yee ;
Zhou, Weihua .
OPERATIONS RESEARCH, 2011, 59 (02) :522-529
[4]   Optimal stock allocation for a capacitated supply system [J].
de Véricourt, F ;
Karaesmen, F ;
Dallery, Y .
MANAGEMENT SCIENCE, 2002, 48 (11) :1486-1501
[5]   A Stochastic Programming Based Inventory Policy for Assemble-to-Order Systems with Application to the W Model [J].
Dogru, Mustafa K. ;
Reiman, Martin I. ;
Wang, Qiong .
OPERATIONS RESEARCH, 2010, 58 (04) :849-864
[6]   Optimal control of a nested-multiple-product assemble-to-order system [J].
Elhafsi, Mohsen ;
Camus, Herve ;
Craye, Etienne .
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 2008, 46 (19) :5367-5392
[7]   Optimal integrated production and inventory control of an assemble-to-order system with multiple non-unitary demand classes [J].
ElHafsi, Mohsen .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2009, 194 (01) :127-142
[8]   Stock rationing in an M/Er/1 multi-class make-to-stock queue with backorders [J].
Gayon, Jean-Philippe ;
De Vericourt, Francis ;
Karaesmen, Fikri .
IIE TRANSACTIONS, 2009, 41 (12) :1096-1109
[9]   Using Imperfect Advance Demand Information in Production-Inventory Systems with Multiple Customer Classes [J].
Gayon, Jean-Philippe ;
Benjaafar, Saif ;
de Vericourt, Francis .
M&SOM-MANUFACTURING & SERVICE OPERATIONS MANAGEMENT, 2009, 11 (01) :128-143
[10]   Stock rationing in an M/Ek/1 make-to-stock queue [J].
Ha, AY .
MANAGEMENT SCIENCE, 2000, 46 (01) :77-87
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