Solving two-stage robust optimization problems using a column-and-constraint generation method

被引:1449
作者
Zeng, Bo [1 ]
Zhao, Long [1 ]
机构
[1] Univ S Florida, Dept Ind & Management Syst Engn, Tampa, FL 33620 USA
关键词
Two-stage robust optimization; Cutting plane algorithm; Location-and-transportation;
D O I
10.1016/j.orl.2013.05.003
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
In this paper, we present a column-and-constraint generation algorithm to solve two-stage robust optimization problems. Compared with existing Benders-style cutting plane methods, the column-and-constraint generation algorithm is a general procedure with a unified approach to deal with optimality and feasibility. A computational study on a two-stage robust location-transportation problem shows that it performs an order of magnitude faster. (c) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:457 / 461
页数:5
相关论文
共 20 条
[1]  
[Anonymous], 2010, TECHNICAL REPORT
[2]   Two-stage robust network row and design under demand uncertahty [J].
Atamtuerk, Alper ;
Zhang, Muhong .
OPERATIONS RESEARCH, 2007, 55 (04) :662-673
[3]   Robust convex optimization [J].
Ben-Tal, A ;
Nemirovski, A .
MATHEMATICS OF OPERATIONS RESEARCH, 1998, 23 (04) :769-805
[4]   Robust solutions of Linear Programming problems contaminated with uncertain data [J].
Ben-Tal, A ;
Nemirovski, A .
MATHEMATICAL PROGRAMMING, 2000, 88 (03) :411-424
[5]   Adjustable robust solutions of uncertain linear programs [J].
Ben-Tal, A ;
Goryashko, A ;
Guslitzer, E ;
Nemirovski, A .
MATHEMATICAL PROGRAMMING, 2004, 99 (02) :351-376
[6]   Robust solutions of uncertain linear programs [J].
Ben-Tal, A ;
Nemirovski, A .
OPERATIONS RESEARCH LETTERS, 1999, 25 (01) :1-13
[7]   Partitioning procedures for solving mixed-variables programming problems [J].
Benders, J. F. .
COMPUTATIONAL MANAGEMENT SCIENCE, 2005, 2 (01) :3-19
[8]   The price of robustness [J].
Bertsimas, D ;
Sim, M .
OPERATIONS RESEARCH, 2004, 52 (01) :35-53
[9]   Robust discrete optimization and network flows [J].
Bertsimas, D ;
Sim, M .
MATHEMATICAL PROGRAMMING, 2003, 98 (1-3) :49-71
[10]   Adaptive Robust Optimization for the Security Constrained Unit Commitment Problem [J].
Bertsimas, Dimitris ;
Litvinov, Eugene ;
Sun, Xu Andy ;
Zhao, Jinye ;
Zheng, Tongxin .
IEEE TRANSACTIONS ON POWER SYSTEMS, 2013, 28 (01) :52-63