New necessary and sufficient condition for the irreducibility of joint inventory positions in an assemble-to-order system

被引：1

作者：

Feng, Jiejian ^{[1
]}

Zhang, Michael ^{[2
]}

Yang, Jinglei ^{[3
]}

机构：

[1] Wilfrid Laurier Univ, Lazaridis Sch Business & Econ, Waterloo, ON, Canada

[2] St Marys Univ, Sch Business, Halifax, NS, Canada

[3] Nankai Univ, Sch Business, Tianjin, Peoples R China

来源：

OPERATIONS RESEARCH LETTERS | 2021年 / 49卷 / 02期

关键词：

Irreducibility; Necessary and sufficient condition; Assemble-to-order; Waiting time;

D O I：

10.1016/j.orl.2020.12.010

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

When joint inventory positions in an assemble-to-order system are irreducible, it has been proved that the evaluation on order-based backorders can be based on a set of systems under the base stock policy. We provide a new necessary and sufficient condition for the irreducibility of the joint inventory positions where the item inventory is controlled by an (r, nQ) policy. The computation complexity of applying this new condition is much lower than that of verifying the previous condition. (C) 2020 Elsevier B.V. All rights reserved.

引用

页码：171 / 175

页数：5

共 10 条

[1]

Bertsimas D., 1997, INTRO LINEAR OPTIMIZ, P33

[2] Uniform distribution of inventory positions in two-echelon periodic review systems with batch-ordering policies and interdependent demands [J].

Chen, FY ;

Feng, YY ;

Simchi-Levi, D .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2002, 140 (03) :648-654

[3] ALGORITHMS FOR THE SOLUTION OF SYSTEMS OF LINEAR DIOPHANTINE EQUATIONS [J].

CHOU, TWJ ;

COLLINS, GE .

SIAM JOURNAL ON COMPUTING, 1982, 11 (04) :687-708

[4] Fair no-unnecessary-waiting-time-FCFS allocation rule in multi-item inventory systems [J].

Feng, Jiejian .

IISE TRANSACTIONS, 2018, 50 (06) :525-534

[5] Irreducibility of Joint Inventory Positions in an Assemble-to-Order System Under (r, nQ) Policies [J].

Feng, Jiejian ;

Liu, Liming ;

Wan, Yat-wah .

NAVAL RESEARCH LOGISTICS, 2012, 59 (01) :18-25

[6] Order-based backorders in multi-item inventory systems [J].

Feng, Jiejian ;

Liu, Liming ;

Wan, Yat-Wah .

OPERATIONS RESEARCH LETTERS, 2010, 38 (01) :27-32

[7]

Song JS, 2003, HDBK OPER R, V11, P561

[8] Order-based backorders and their implications in multi-item inventory systems [J].

Song, JS .

MANAGEMENT SCIENCE, 2002, 48 (04) :499-516

[9] A note on assemble-to-order systems with batch ordering [J].

Song, JS .

MANAGEMENT SCIENCE, 2000, 46 (05) :739-743

[10] Performance analysis and evaluation of assemble-to-order systems with stochastic sequential lead times [J].

Yao Zhao ;

Simchi-Levi, David .

OPERATIONS RESEARCH, 2006, 54 (04) :706-724

← 1 →