Genetic algorithm for the automatic drawing of octalinear maps of public transportation systems

Authors

  • Marcelo de Lima Galvão Universidade de Brasília
  • Marcus Vinicius Lamar Universidade de Brasília
  • Pastor Willy Gonzales Taco Universidade de Brasília

DOI:

https://doi.org/10.14295/transportes.v22i1.696

Keywords:

schematic map, public transportation, genetic algorithm, automated cartography, graph drawing, metro map.

Abstract

The octalinear map, also known as subway map, is an informative tool for a public transportation system. Now-adays, the production of those maps is handmade and it is rapidly outdated. Consequently it becomes a costly task espe-cially for bus lines that are more complex and have a fast modification dynamic. As a solution to the problem of automatic drawing those diagrams, it was developed a technique that uses graph algorithms and genetic algorithms. Data from Bra-silia public transportation system was adopted to apply the technique. Results obtained have good quality and were al-most instantly. Genetic algorithm was proved to be an adequate solution.

Downloads

Download data is not yet available.

Author Biographies

Marcelo de Lima Galvão, Universidade de Brasília

Bacharel em Ciência da Computação

Marcus Vinicius Lamar, Universidade de Brasília

Professor titular do Departamento de Ciência da Computação

Pastor Willy Gonzales Taco, Universidade de Brasília

Coordenador do Programa de Pós-Graduação em Transportes

References

Avelar, S. e M. Müller (2000) Generating topologically cor-rect schematic maps. In Proc. 9th Int. Symp. on Spatial Da-ta Handling (SDH’00).

Anand, S., S. Avelar, J. M. Ware e M. Jackson (2007)

Au-tomated schematic map production using simulated anneal-ing and gradient descent approaches. Geographical Infor-mation Systems Research - GISRUK'07.

Avelar, S (2002) Schematic maps on demand: Design, modeling and visualization. Thesis (PhD), Institute of Tech-nology Zurich.

Battista, G. D., P. Eads, R. Tamassia e I. Tollis (1999) Graph Drawing: algorithms for the visualization of graphs. Allan Apt, New Jersey, Estados Unidos.

Douglas, D. e T. Peucker (1973) Algorithms for the reduc-tion of the number of points required to represent a digital-ized line or its caricature. Cartographica: The International Journal for Geographic Information and Geovisualization, v. 10, n. 2, p.

–122. DOI: 10.3138/FM57-6770-U75U-7727.

Galvão, M. (2010) Esquematizações infográficas automáti-cas para transporte público: usando algoritmos genéticos. Trabalho de Graduação – Ciência da Computação, Univer-sidade de Brasília.

Garland, K. (1994) Mr Beck´s Underground Map. Capital Transport Publishing.

Hong, S. H., D. Merrick e H. Nascimento (2005) The metro map layout problem. In: Proc. Graph Drawing 2004, Spring-er-Verlag.

Melanie, M. (1999) An Introduction to Genetic Algorithms. MIT Press, Cambridge, England

Neyer, G. (1999) Line simplification with restricted orienta-tions. 6th Int. Workshop on Algorithms and Data Structures

(WADS’99), Lecture Notes in Computer Science, v. 1663, p. 13–24, Vancouver, BC. Springer-Verlag.

Nöllenburg, M. (2005) Automated drawings of metro maps. Dissertation (Master’s degree), Fakultät für Informatik, Uni-versität Karlsruhe

Nöllenburg, M. e A. Wolff (2006) A mixed-integer program for drawing high-quality metro maps. In Proc. 13th Interna-tional Symposium on Graph Drawing. Springer-Verlag.

Stott. J., P. Rodgers, J. C. Martinez-Ovando e S. G. Walker (2011) Automatic Metro Map Layout Using Multicriteria Op-timization. Transactions on Visualization and Computer Graphics v. 16, n. 1, p. 101–114. DOI: 10.1109/TVCG.2010.24.

Wolff, A. (2007) Drawing subway maps: A survey. Universi-tät Karlsruhe.

Wolff, A. e M. Nöllenburg (2011) Drawing and labeling high-quality metro maps by mixed-integer programming. IEEE Transactions on Visualization and Computer Graphics, v. 17, n. 5, p. 626–641. DOI: 10.1109/TVCG.2010.81.

Published

2014-01-18

How to Cite

Galvão, M. de L., Lamar, M. V., & Taco, P. W. G. (2014). Genetic algorithm for the automatic drawing of octalinear maps of public transportation systems. TRANSPORTES, 22(1), 21–30. https://doi.org/10.14295/transportes.v22i1.696

Issue

Section

Artigos