Decomposition and Linearization for 0-1 Quadratic Programming

被引：1
|
作者：
Sourour Elloumi
Alain Faye
Eric Soutif
机构：
[1] CEDRIC-CNAM,
[2] CEDRIC-IIE,undefined
来源：
Annals of Operations Research | 2000年 / 99卷
关键词：
quadratic 0-1 programming; mixed integer programming; Lagrangian decomposition; linearization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper presents a general decomposition method to compute bounds for constrained 0-1 quadratic programming. The best decomposition is found by using a Lagrangian decomposition of the problem. Moreover, in its simplest version this method is proved to give at least the bound obtained by the LP-relaxation of a non-trivial linearization. To illustrate this point, some computational results are given for the 0-1 quadratic knapsack problem.
引用
收藏
页码：79 / 93
页数：14
相关论文
共 50 条
  • [1] 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
  • [2] 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
  • [3] An improved linearization technique for a class of quadratic 0-1 programming problems
    Xiaozheng He
    Anthony Chen
    Wanpracha A. Chaovalitwongse
    Henry X. Liu
    [J]. Optimization Letters, 2012, 6 : 31 - 41
  • [4] LINEARIZATION OF 0-1 MULTI-QUADRATIC FRACTIONAL PROGRAMMING PROBLEM
    Kapoor, R.
    [J]. ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 2009, 26 (01) : 59 - 84
  • [5] 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
  • [6] EXPERIMENTS IN QUADRATIC 0-1 PROGRAMMING
    BARAHONA, F
    JUNGER, M
    REINELT, G
    [J]. MATHEMATICAL PROGRAMMING, 1989, 44 (02) : 127 - 137
  • [7] Quadratic convex reformulations for quadratic 0-1 programming
    Plateau, Marie-Christine
    [J]. 4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH, 2008, 6 (02): : 187 - 190
  • [8] A linearization framework for unconstrained quadratic (0-1) problems
    Gueye, Serigne
    Michelon, Philippe
    [J]. DISCRETE APPLIED MATHEMATICS, 2009, 157 (06) : 1255 - 1266
  • [9] Clustering Problem with 0-1 Quadratic Programming
    Haddouch, Khalid
    El Allaoui, Ahmad
    Messaoudi, Abdelhafid
    El Moutaouakil, Karim
    Dadi, El Wardani
    [J]. PROCEEDINGS OF THE MEDITERRANEAN CONFERENCE ON INFORMATION & COMMUNICATION TECHNOLOGIES 2015 (MEDCT 2015), VOL 2, 2016, 381 : 111 - 120
  • [10] LOGICAL RELATIONS IN QUADRATIC 0-1 PROGRAMMING
    HAMMER, PL
    HANSEN, P
    [J]. REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 1981, 26 (03): : 421 - 429
12345