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
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