Conflict graphs in solving integer programming problems

被引：85
|
作者：
Atamtürk, A [1 ]
Nemhauser, GL [1 ]
Savelsbergh, MWP [1 ]
机构：
[1] Georgia Inst Technol, Sch Ind & Syst Engn, Atlanta, GA 30332 USA
来源：
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2000年 / 121卷 / 01期
基金：
美国国家科学基金会;
关键词：
conflict graphs; integer programming; cliques; preprocessing;
D O I：
10.1016/S0377-2217(99)00015-6
中图分类号：
C93 [管理学];
学科分类号：
12 ; 1201 ; 1202 ; 120202 ;
摘要：
We report on the use of conflict graphs in solving integer programs. A conflict graph represents logical relations between binary variables. We develop algorithms and data structures that allow the effective and efficient construction, management, and use of dynamically changing conflict graphs. Our computational experiments show that the techniques presented work very well. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：40 / 55
页数：16
相关论文
共 50 条
  • [1] AN ITERATION METHOD OF SOLVING INTEGER PROGRAMMING PROBLEMS
    PYATETSK.II
    VOLKONSK.VA
    LEVINA, LV
    POMANSKI.A
    [J]. DOKLADY AKADEMII NAUK SSSR, 1966, 169 (06): : 1289 - &
  • [2] Solving integer problems using semidefinite programming
    Rendl, F
    [J]. KOI'96 - 6TH INTERNATIONAL CONFERENCE ON OPERATIONAL RESEARCH, PROCEEDINGS, 1996, : 9 - 10
  • [3] Solving Rummikub problems by integer linear programming
    den Hertog, D.
    Hulshof, P. B.
    [J]. COMPUTER JOURNAL, 2006, 49 (06): : 665 - 669
  • [4] A New Procedure for Solving Integer Linear Programming Problems
    S. F. Tantawy
    [J]. Arabian Journal for Science and Engineering, 2014, 39 : 5265 - 5269
  • [5] A KNAPSACK PROCEDURE FOR SOLVING INTEGER PROGRAMMING-PROBLEMS
    FEIRING, BR
    [J]. ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 1987, 4 (02) : 123 - 130
  • [6] AN INTERACTIVE ALGORITHM FOR SOLVING INTEGER GOAL PROGRAMMING PROBLEMS
    Suwendy, Maries
    Sinuhaji, Theresa A.
    Maulana, B.
    Prana, Afen
    Elyakin, Victor A.
    Zarlis, M.
    [J]. PROCEEDINGS OF THE FOURTH GLOBAL CONFERENCE ON POWER CONTROL AND OPTIMIZATION, 2011, 1337 : 218 - 223
  • [7] Solving conservation planning problems with integer linear programming
    Beyer, Hawthorne L.
    Dujardin, Yann
    Watts, Matthew E.
    Possingham, Hugh P.
    [J]. ECOLOGICAL MODELLING, 2016, 328 : 14 - 22
  • [8] SOLVING INTEGER PROGRAMMING-PROBLEMS BY AGGREGATING CONSTRAINTS
    KENDALL, KE
    ZIONTS, S
    [J]. OPERATIONS RESEARCH, 1977, 25 (02) : 346 - 351
  • [9] ON-LINE SOLVING OF LINEAR AND INTEGER PROGRAMMING PROBLEMS
    Jablonskfy, Josef
    [J]. MEZINARODNI VEDECKA KONFERENCE: HRADECKE EKONOMICKE DNY 2013 - EKONOMICKY ROZVOJ A MANAGEMENT REGIONU, , DIL I, 2013, : 252 - 257
  • [10] Modelling and solving central cycle problems with integer programming
    Foulds, LR
    Wilson, JM
    Yamaguchi, T
    [J]. COMPUTERS & OPERATIONS RESEARCH, 2004, 31 (07) : 1083 - 1095
12345