A survey on benders decomposition applied to fixed-charge network design problems

被引:183
作者
Costa, AM [1 ]
机构
[1] HEC Montreal, Canada Res Chair Distribut Management, Montreal, PQ H3T 2A7, Canada
关键词
benders decomposition; network design; fixed charge;
D O I
10.1016/j.cor.2003.11.012
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Network design problems concern the selection of arcs in a graph in order to satisfy. at minimum cost. some flow requirements.. usually expressed in the form of origin-destination pair demands. Benders decomposition methods, based on the idea of partition and delayed constraint generation, have been successfully applied to many of these problems. This article presents a review of these applications. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1429 / 1450
页数:22
相关论文
共 58 条
[1]   Composite variable formulations for express shipment service network design [J].
Armacost, AP ;
Barnhart, C ;
Ware, KA .
TRANSPORTATION SCIENCE, 2002, 36 (01) :1-20
[2]   MODELING AND HEURISTIC WORST-CASE PERFORMANCE ANALYSIS OF THE 2-LEVEL NETWORK DESIGN PROBLEM [J].
BALAKRISHNAN, A ;
MAGNANTI, TL ;
MIRCHANDANI, P .
MANAGEMENT SCIENCE, 1994, 40 (07) :846-867
[3]  
Balakrishnan A., 1997, ANNOTATED BIBLIO COM, P311
[4]   Network design using cut inequalities [J].
Barahona, F .
SIAM JOURNAL ON OPTIMIZATION, 1996, 6 (03) :823-837
[5]   DISTRIBUTION-SYSTEM PLANNING THROUGH A GENERALIZED BENDERS DECOMPOSITION APPROACH [J].
BENCHAKROUN, A ;
FERLAND, JA ;
CLEROUX, R .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1992, 62 (02) :149-162
[6]  
BENDERS JF, 1962, NUMER MATH, V4, P238, DOI [10.1007/BF01386316, DOI 10.1007/BF01386316, DOI 10.1007/S10287-004-0020-Y]
[7]  
Bertsekas D., 1987, DATA NETWORKS
[8]   A new benders decomposition approach to solve power transmission network design problems [J].
Binato, S ;
Pereira, MVF ;
Granville, S .
IEEE TRANSACTIONS ON POWER SYSTEMS, 2001, 16 (02) :235-240
[9]   OPTIMAL NETWORK PROBLEM - BRANCH-AND-BOUND ALGORITHM [J].
BOYCE, DE ;
FARHI, A ;
WEISCHEDEL, R .
ENVIRONMENT AND PLANNING A, 1973, 5 (04) :519-533
[10]   Solving large nonconvex water resources management models using generalized benders decomposition [J].
Cai, XM ;
McKinney, DC ;
Lasdon, LS ;
Watkins, DW .
OPERATIONS RESEARCH, 2001, 49 (02) :235-245