Solving a multicoloring problem with overlaps using integer programming

被引:4
|
作者
Mendez-Diaz, Isabel [1 ]
Zabala, Paula [1 ]
机构
[1] Univ Buenos Aires, Consejo Nacl Invest Cient & Tecn, Dept Computac, FCEyN, RA-1053 Buenos Aires, DF, Argentina
关键词
Graph multicoloring; Integer programming; Branch-and-Cut;
D O I
10.1016/j.dam.2009.05.007
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper presents a new generalization of the graph multicoloring problem. We propose a Branch-and-Cut algorithm based on a new integer programming formulation. The cuts used are valid inequalities that we could identify to the polytope associated with the model. The Branch-and-Cut system includes separation heuristics for the valid inequalities, specific initial and primal heuristics, branching and pruning rules. We report on computational experience with random instances. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:349 / 354
页数:6
相关论文
共 50 条
  • [1] SOLVING A PLANT LOCATION PROBLEM USING INTEGER PROGRAMMING
    BENSEMAN, B
    HALL, K
    NEW ZEALAND OPERATIONAL RESEARCH, 1979, 7 (02): : 105 - 116
  • [2] Integer and constraint programming approaches for providing optimality to the bandwidth multicoloring problem
    Dias, Bruno
    de Freitas, Rosiane
    Maculan, Nelson
    Michelon, Philippe
    RAIRO-OPERATIONS RESEARCH, 2021, 55 : S1949 - S1967
  • [3] Solving a Modified Syndrome Decoding Problem using Integer Programming
    Dragoi, V-F
    Cayrel, P-L
    Colombier, B.
    Bucerzan, D.
    Hoara, S.
    INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL, 2020, 15 (05) : 1 - 9
  • [4] METHOD FOR SOLVING A SPECIAL INTEGER PROGRAMMING PROBLEM
    SERGIENKO, TI
    CYBERNETICS, 1985, 21 (03): : 364 - 368
  • [5] A NEW APPROACH TO SOLVING OF THE INTEGER PROGRAMMING PROBLEM
    ALIYEV, AA
    IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK, 1980, (01): : 140 - 146
  • [6] Solving the shift and break design problem using integer linear programming
    Arjan Akkermans
    Gerhard Post
    Marc Uetz
    Annals of Operations Research, 2021, 302 : 341 - 362
  • [7] Solving the single-machine sequencing problem using integer programming
    Baker, Kenneth R.
    Keller, Brian
    COMPUTERS & INDUSTRIAL ENGINEERING, 2010, 59 (04) : 730 - 735
  • [8] Solving the shift and break design problem using integer linear programming
    Akkermans, Arjan
    Post, Gerhard
    Uetz, Marc
    ANNALS OF OPERATIONS RESEARCH, 2021, 302 (02) : 341 - 362
  • [9] Heuristic algorithm for solving the integer programming of the lottery problem
    Mohammadi, A.
    Abadi, I. Nakhaei Kamal
    SCIENTIA IRANICA, 2012, 19 (03) : 895 - 901
  • [10] Solving the Multiple Objective Integer Linear Programming Problem
    Chergui, Mohamed El-Amine
    Moulai, Mustapha
    Ouail, Fatma Zohra
    MODELLING, COMPUTATION AND OPTIMIZATION IN INFORMATION SYSTEMS AND MANAGEMENT SCIENCES, PROCEEDINGS, 2008, 14 : 69 - +