Skip to main content
Log in

Using Genetic Algorithms for Solving Hard Problems in GIS

  • Published:
GeoInformatica Aims and scope Submit manuscript

Abstract

Genetic algorithms (GAs) are powerful combinatorial optimizers that are able to find close-to-optimal solutions for difficult problems by applying the paradigm of adaptation through Darwinian evolution. We describe a framework for GAs capable of solving certain optimization problems encountered in geographical information systems (GISs). The framework is especially suited for geographical problems since it is able to exploit their geometrical structure with a novel operator called the geometrically local optimizer. Three such problems are presented as case studies: map labeling, generalization while preserving structure, and line simplification. Experiments show that the GAs give good results and are flexible as well.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. W. Banzhaf, J. Daida, A.E. Eiben, M.H. Garzon, V. Honavar, M. Jakiela, and R.E. Smith (Ed.). Proceedings of the Genetic and Evolutionary Computation Conference. Morgan-Kaufmann, 1999.

  2. M.F. Bramlette and E.E. Bouchard. Genetic Algorithms in Parametic Design of Aircraft, chapter 10, pages 109-123, in Davis [4], 1991.

  3. J. Christensen, J. Marks, and S. Shieber. “An empirical study of algorithms for point-feature label placement,” ACM Transactions on Graphics, Vol. 14(3):203-232, 1995.

    Google Scholar 

  4. L. Davis. Handbook of Genetic Algorithms. Van Nostrand Reinhold, 1991.

  5. D.H. Douglas and T.K. Peucker. “Algorithms for reduction of the number of points required to represent a digitized line or its caricature,” The Canadian Cartographer, Vol. 10(2):112-122, 1973.

    Google Scholar 

  6. R. Duda and P. Hart. Pattern Recognition and Scene Analysis. Wiley, 1973.

  7. F. Glover. Tabu search. in Reeves, editor, Modern Heuristic Techniques for Combinatorial Problems, volume C, pages 70-141, Blackwell Scientific Publishing, 1993.

  8. D.E. Goldberg. “Genetic algorithms and Walsh functions: Part I, a gentle introduction,” Complex Systems, Vol. 3(2):129-152, 1989.

    Google Scholar 

  9. D.E. Goldberg. Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley, 1989.

  10. G. Harik and F. Lobo. “A parameter-less genetic algorithm,” in Banzhaf et al., Proceedings of the Genetic and Evolutionary Computation Conference, pp. 258-265.

  11. J.H. Holland. Adaptation in natural and artificial systems. University of Michigan Press: Ann Arbor, 1975.

    Google Scholar 

  12. H. Imai and M. Iri. “Polygonal approximations of a curve—formulations and algorithms,” Computational Morphology, 1988.

  13. H. Kargupta and K. Sarkar. “Function induction, gene expression, and evolutionary representation construction,” in Banzhaf et al., Proceedings of the Genetic and Evolutionary Computation Conference, pp. 313-320.

  14. C.L. Karr. Air-Injected Hydrocyclone Optimization via Genetic Algorithm, in Davis, Handbook of Genetic Algorithms, chapter 16, pp. 222-236, 1991.

  15. S. Kirkpatrick, C.D. Gelatt, and M.P. Vecchi. “Optimization by simulated annealing,” Science, 220(4598): 671-680, 1983.

    Google Scholar 

  16. G.E. Liepins and W.D. Potter. A Genetic Algorithm Approach to Multiple-Fault Diagnosis, chapter 17, pp. 237-250, in Davis, Handbook of Genetic Algorithms, 1991.

  17. F. Lobo. The Parameter-less Genetic Algorithm: Rational and Automated Parameter Selection for Simplified Genetic Algorithm Operation. Ph.D. thesis, University of Lisbon, 2000.

  18. J. Marks and S. Shieber. The computational complexity of cartographic label placement. Technical Report TR-05-91, Harvard CS, 1991.

  19. M. Pelikan and F. Lobo. Parameter-less genetic algorithm: A worst-case time and space complexity analysis. Technical report, University of Illinois, March 1999.

  20. G. Raidl. “A genetic algorithm for labeling point features,” in Proceedings of the International Conference on Imaging Science, Systems, and Technology, pp. 189-196, 1998.

  21. D. Thierens. Estimating the significant non-linearities in the genome problem-coding, in Banzhaf et al., Proceedings of the Genetic and Evolutionary Computation Conference, pp. 643-648.

  22. D. Thierens. “Scalability problems of simple genetic algorithms,” Evolutionary Computation, Vol. 7(4):331-352, 1999.

    Google Scholar 

  23. D. Thierens and D.E. Goldberg. “Mixing in genetic algorithms,” in S. Forrest (Ed.), Proceedings of the 5th International Conference on Genetic Algorithms and their Applications, pp. 38-45, Morgan-Kaufmann, 1993.

  24. D. Thierens and D.E. Goldberg. “Elitist recombination: an integrated selection recombination GA,” in Proceedings of the IEEE International Conference on Evolutionary Computation, pp. 508-512, IEEE Press, 1994.

  25. S. van Dijk. Genetic Algorithms for Map Labeling. Ph.D. thesis, Utrecht University, 2001.

  26. S. van Dijk, D. Thierens, and M. de Berg. Robust genetic algorithms for high quality map labeling. Technical Report TR-1998-41, Utrecht University, 1998.

  27. S. van Dijk, D. Thierens, and M. de Berg. On the design of genetic algorithms for geographical applications, in Banzhaf et al., Proceedings of the Genetic and Evolutionary Computation Conference, pp. 188-195.

  28. S. van Dijk, D. Thierens, and M. de Berg. “Scalability and efficiency of genetic algorithms for geometrical applications,” in M. Schoenauer, K. Deb, G. Rudolph, X. Yao, E. Lutton, J.J. Merelo, and H.-P. Schwefel (Eds), Lecture Notes in Computer Science, Volume 1917: Proceedings of the Parallel Problem Solving from Nature VI Conference, pp. 683-692, Springer-Verlag, 2000.

  29. O. Verner, R. Wainwright, and D. Schoenefeld. “Placing text labels on maps and diagrams using genetic algorithms with masking,” INFORMS Journal on Computing, Vol. 9(3):266-275, 1997.

    Google Scholar 

  30. B. Verweij and K. Aardal. “An optimisation algorithm for maximum independent set with applications in map labelling,” in Lecture Notes in Computer Science, Volume 1643: Proceedings of the Seventh Annual European Symposium on Algorithms, pp. 426-437, Springer-Verlag, 1999.

  31. G. Zhang and J. Tulip. “An algorithm for the avoidance of sliver polygons and clusters of points in spatial overlay,” in Proceedings of the 4th International Spatial Data Handling Conference, pp. 141-150, 1990.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

van Dijk, S., Thierens, D. & de Berg, M. Using Genetic Algorithms for Solving Hard Problems in GIS. GeoInformatica 6, 381–413 (2002). https://doi.org/10.1023/A:1020809627892

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1020809627892

Navigation