A new mathematical model and a Lagrangean decomposition for the point-feature cartographic label placement problem

被引：26
|
作者：
Mauri, Geraldo R. [1 ]
Ribeiro, Glaydston M. [2 ]
Lorena, Luiz A. N. [3 ]
机构：
[1] UFES, BR-29500000 Alegre, ES, Brazil
[2] UFES, BR-29933415 Sao Mateus, ES, Brazil
[3] Natl Inst Space Res INPE, BR-12210970 Sao Jose Dos Campos, SP, Brazil
来源：
COMPUTERS & OPERATIONS RESEARCH | 2010年 / 37卷 / 12期
基金：
巴西圣保罗研究基金会;
关键词：
Combinatorial optimization; Label placement; Lagrangean decomposition; INTEGER PROGRAMMING-PROBLEMS; RELAXATION; GRAPHS;
D O I：
10.1016/j.cor.2010.03.005
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This paper proposes a 0-1 integer linear programming model for the point-feature cartographic label placement problem based on labeling of the largest number of free labels. In addition, one non-trivial valid inequality is presented to strengthen this proposed model. Even with the strengthened model, a commercial solver was not able to solve a representative sample of known instances presented in the literature. Thus, we also present a Lagrangean decomposition technique based on graph partitioning. Our added approaches established optimal solutions for practically all the used instances and the results significantly improved the ones presented in recent studies concerning the problem. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2164 / 2172
页数：9
相关论文
共 50 条
  • [1] Lagrangean relaxation with clusters for point-feature cartographic label placement problems
    Ribeiro, Glaydston Mattos
    Lorena, Luiz Antonio Nogueira
    [J]. COMPUTERS & OPERATIONS RESEARCH, 2008, 35 (07) : 2129 - 2140
  • [2] Dispersion for the point-feature cartographic label placement problem
    Gomes, Sostenes Pereira
    Ribeiro, Glaydston Mattos
    Nogueira Lorena, Luiz Antonio
    [J]. EXPERT SYSTEMS WITH APPLICATIONS, 2013, 40 (15) : 5878 - 5883
  • [3] Column generation approach for the point-feature cartographic label placement problem
    Glaydston Mattos Ribeiro
    Luiz Antonio Nogueira Lorena
    [J]. Journal of Combinatorial Optimization, 2008, 15 : 147 - 164
  • [4] Column generation approach for the point-feature cartographic label placement problem
    Ribeiro, Glaydston Mattos
    Nogueira Lorena, Luiz Antonio
    [J]. JOURNAL OF COMBINATORIAL OPTIMIZATION, 2008, 15 (02) : 147 - 164
  • [5] A Clustering Search metaheuristic for the Point-Feature Cartographic Label Placement Problem
    Rabello, Romulo Louzada
    Mauri, Geraldo Regis
    Ribeiro, Glaydston Mattos
    Nogueira Lorena, Luiz Antonio
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2014, 234 (03) : 802 - 808
  • [6] Tabu search heuristic for point-feature cartographic label placement
    Yamamoto, M
    Camara, G
    Lorena, LAN
    [J]. GEOINFORMATICA, 2002, 6 (01) : 77 - 90
  • [7] Tabu Search Heuristic for Point-Feature Cartographic Label Placement
    Missae Yamamoto
    Gilberto Camara
    Luiz Antonio Nogueira Lorena
    [J]. GeoInformatica, 2002, 6 : 77 - 90
  • [8] A hybrid data mining heuristic to solve the point-feature cartographic label placement problem
    Guerine, Marcos
    Rosseti, Isabel
    Plastino, Alexandre
    [J]. INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH, 2020, 27 (02) : 1189 - 1209
  • [9] A two-phase algorithm for point-feature cartographic label placement
    Yuan Ding
    Nan Jiang
    Changbin Wu
    Xinxin Zhou
    [J]. Earth Science Informatics, 2018, 11 : 183 - 203
  • [10] Balance algorithm for point-feature label placement problem
    He, Z
    Harada, K
    [J]. ARTIFICIAL NEURAL NETWORKS: BIOLOGICAL INSPIRATIONS - ICANN 2005, PT 1, PROCEEDINGS, 2005, 3696 : 179 - 184
12345