Title | ||
---|---|---|
Column generation approach for the point-feature cartographic label placement problem |
Abstract | ||
---|---|---|
This paper proposes a column generation approach for the Point-Feature Cartographic Label Placement problem (PFCLP). The column
generation is based on a Lagrangean relaxation with clusters proposed for problems modeled by conflict graphs. The PFCLP can
be represented by a conflict graph where vertices are positions for each label and edges are potential overlaps between labels
(vertices). The conflict graph is decomposed into clusters forming a block diagonal matrix with coupling constraints that
is known as a restricted master problem (RMP) in a Dantzig-Wolfe decomposition context. The clusters’ sub-problems are similar
to the PFCLP and are used to generate new improved columns to RMP. This approach was tested on PFCLP instances presented in
the literature providing in reasonable times better solutions than all those known and determining optimal solutions for some
difficult large-scale instances. |
Year | DOI | Venue |
---|---|---|
2008 | 10.1007/s10878-007-9073-5 | J. Comb. Optim. |
Keywords | Field | DocType |
Combinatorial optimization,Integer programming,Column generation,Map labeling | Graph theory,Mathematical optimization,Column generation,Combinatorics,Vertex (geometry),Combinatorial optimization,Integer programming,Diagonal matrix,Cartography,Mathematics,Block matrix,Constrained optimization | Journal |
Volume | Issue | ISSN |
15 | 2 | 1382-6905 |
Citations | PageRank | References |
6 | 0.50 | 16 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Glaydston Mattos Ribeiro | 1 | 202 | 13.79 |
Luiz Antonio Nogueira Lorena | 2 | 498 | 36.72 |