Lagrangean relaxation with clusters for point-feature cartographic label placement problems

被引：25
|
作者：
Ribeiro, Glaydston Mattos [1 ]
Lorena, Luiz Antonio Nogueira [1 ]
机构：
[1] Brazilian Space Res Inst, INPE, Comp & Appl Math Lab, LAC, BR-12227010 Sao Jose Dos Campos, SP, Brazil
来源：
COMPUTERS & OPERATIONS RESEARCH | 2008年 / 35卷 / 07期
关键词：
Lagrangean relaxation; integer programming; label placement;
D O I：
10.1016/j.cor.2006.09.024
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This paper presents two new mathematical formulations for the point-feature cartographic label placement problem (PFCLP) and a new Lagrangean relaxation with clusters (LagClus) to provide bounds to these formulations. The PFCLP can be represented by a conflict graph and the relaxation divides the graph in small subproblems (clusters) that are easily solved. The edges connecting clusters are relaxed in a Lagrangean way and a subgradient algorithm improves the bounds. The LagClus was successfully applied to a set of instances up to 1000 points providing the best results of those reported in the literature. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2129 / 2140
页数：12
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