An improved linearization technique for a class of quadratic 0-1 programming problems

被引:0
|
作者
Xiaozheng He
Anthony Chen
Wanpracha A. Chaovalitwongse
Henry X. Liu
机构
[1] University of Minnesota,Department of Civil Engineering
[2] Utah State University,Department of Civil Engineering
[3] Rutgers University,Department of Industrial and Systems Engineering
来源
Optimization Letters | 2012年 / 6卷
关键词
Linearization technique; Binary quadratic programming problem; Hub location problem;
D O I
暂无
中图分类号
学科分类号
摘要
The recent research on linearization techniques for solving 0-1 quadratic programming problems focuses on providing concise models and tightening constraint bounds. In this paper, we propose a computational enhancement for a linearization technique to make the linearized model much faster to solve. We investigate the computational performance of the proposed approach, by comparing it with other linearization techniques on a class of 0-1 quadratic programming problems. We can further speed up the proposed technique by heuristically tightening the constraint bounds, as demonstrated by solving the uncapacitated single allocation p-hub median problem using the Civil Aeronautics Board data.
引用
收藏
页码:31 / 41
页数:10
相关论文
共 50 条
  • [1] An improved linearization technique for a class of quadratic 0-1 programming problems
    He, Xiaozheng
    Chen, Anthony
    Chaovalitwongse, Wanpracha A.
    Liu, Henry X.
    [J]. OPTIMIZATION LETTERS, 2012, 6 (01) : 31 - 41
  • [2] A new linearization technique for multi-quadratic 0-1 programming problems
    Chaovalitwongse, W
    Pardalos, PM
    Prokopyev, OA
    [J]. OPERATIONS RESEARCH LETTERS, 2004, 32 (06) : 517 - 522
  • [3] Decomposition and linearization for 0-1 quadratic programming
    Elloumi, S
    Faye, A
    Soutif, E
    [J]. ANNALS OF OPERATIONS RESEARCH, 2000, 99 (1-4) : 79 - 93
  • [4] Decomposition and Linearization for 0-1 Quadratic Programming
    Sourour Elloumi
    Alain Faye
    Eric Soutif
    [J]. Annals of Operations Research, 2000, 99 : 79 - 93
  • [5] A linearization framework for unconstrained quadratic (0-1) problems
    Gueye, Serigne
    Michelon, Philippe
    [J]. DISCRETE APPLIED MATHEMATICS, 2009, 157 (06) : 1255 - 1266
  • [6] A SOLVABLE CLASS OF QUADRATIC 0-1 PROGRAMMING
    CHAKRADHAR, ST
    BUSHNELL, ML
    [J]. DISCRETE APPLIED MATHEMATICS, 1992, 36 (03) : 233 - 251
  • [7] LINEARIZATION OF 0-1 MULTI-QUADRATIC FRACTIONAL PROGRAMMING PROBLEM
    Kapoor, R.
    [J]. ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 2009, 26 (01) : 59 - 84
  • [8] Uniqueness in quadratic and hyperbolic 0-1 programming problems
    Deineko, Vladimir G.
    Klinz, Bettina
    Woeginger, Gerhard J.
    [J]. OPERATIONS RESEARCH LETTERS, 2013, 41 (06) : 633 - 635
  • [9] EXPERIMENTS IN QUADRATIC 0-1 PROGRAMMING
    BARAHONA, F
    JUNGER, M
    REINELT, G
    [J]. MATHEMATICAL PROGRAMMING, 1989, 44 (02) : 127 - 137
  • [10] Quadratic convex reformulations for quadratic 0-1 programming
    Plateau, Marie-Christine
    [J]. 4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH, 2008, 6 (02): : 187 - 190