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The Solution of Large 0–1 Integer Programming Problems Encountered in Automated Cartography

Author

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  • Steven Zoraster

    (Zycor, Inc., Austin, Texas)

Abstract

The placement of text on a map to maximize map legibility, while avoiding graphic overplotting, is a problem in combinatorial optimization. This particular optimization problem can be formulated as a multiple choice integer programming problem, and the integer programming problem has a structure that can be exploited, using a Lagrangian heuristic, to obtain a cost effective solution, even when tens of thousands of variables and thousands of constraints are involved. This paper presents the mathematical formulation of the map label placement problem and describes a computer program implemented to solve it.

Suggested Citation

  • Steven Zoraster, 1990. "The Solution of Large 0–1 Integer Programming Problems Encountered in Automated Cartography," Operations Research, INFORMS, vol. 38(5), pages 752-759, October.
    • Handle: RePEc:inm:oropre:v:38:y:1990:i:5:p:752-759
    DOI: 10.1287/opre.38.5.752
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    Citations

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    Cited by:

    1. Lin, Edward Y. H. & Bricker, Dennis L., 1996. "Computational comparison on the partitioning strategies in multiple choice integer programming," European Journal of Operational Research, Elsevier, vol. 88(1), pages 182-202, January.
    2. Glaydston Mattos Ribeiro & Luiz Antonio Nogueira Lorena, 2008. "Column generation approach for the point-feature cartographic label placement problem," Journal of Combinatorial Optimization, Springer, vol. 15(2), pages 147-164, February.
    3. Rabello, Rômulo Louzada & Mauri, Geraldo Regis & Ribeiro, Glaydston Mattos & Lorena, Luiz Antonio Nogueira, 2014. "A Clustering Search metaheuristic for the Point-Feature Cartographic Label Placement Problem," European Journal of Operational Research, Elsevier, vol. 234(3), pages 802-808.
    4. Alvim, Adriana C.F. & Taillard, Éric D., 2009. "POPMUSIC for the point feature label placement problem," European Journal of Operational Research, Elsevier, vol. 192(2), pages 396-413, January.

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