Branch and cut methods for network optimization

被引:11
作者
Caccetta, L [1 ]
Hill, SP [1 ]
机构
[1] Curtin Univ Technol, Sch Math & Stat, Perth, WA 6845, Australia
关键词
branch and cut; cutting planes; combinatorial optimization; mixed integer linear programming;
D O I
10.1016/S0895-7177(00)00258-2
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Combinatorial optimization problems arising in network applications are usually computationally difficult. Typically, one needs to solve a large mixed integer linear programming problem. Over the past decade, the method of branch and cut has emerged as a powerful technique for solving such problems. In this paper, we focus on computationally difficult network optimization for problems, highlighting the effectiveness of branch and cut methods. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:517 / 532
页数:16
相关论文
共 63 条
[1]  
AARDAL K, 1996, STAT NEERL, V50, P4
[2]  
AARDAL K, IN PRESS STAT NEDERL
[3]  
Achuthan NR, 1998, ASIA PAC J OPER RES, V15, P109
[4]  
ACHUTHAN NR, 1995, EUROPEAN J OPERATION, V91, P573
[5]  
ACHUTHAN NR, 1996, IMPROVED BRANCH CUT
[6]  
[Anonymous], TRAVELING SALESMAN P
[7]  
Applegate D., 1995, Finding Cuts In The TSP
[8]  
APPLEGATE D, 1998, J DTSCH MATH VER AUG, P645
[9]  
Araque J. R., 1994, Annals of Operations Research, V50, P37, DOI 10.1007/BF02085634
[10]  
AUGERAT P, 1995, 949M U J FOUR