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Acceleration of the A*-Algorithm for the Shortest Path Problem in Digital Road Maps

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Operations Research Proceedings 2007

Part of the book series: Operations Research Proceedings ((ORP,volume 2007))

Abstract

Using the A*-algorithm to solve point-to-point-shortest path problems, the number of iterations depends on the quality of the estimator for the remaining distance to the target. In digital maps of real road networks, iterations can be saved by using a better estimator than the Euclidian estimator. An approach is to integrate Segmentation Lines (SegLine) into the map modelling large obstacles. An auxiliary graph is constructed using the Seg-Lines wherein a shortest path is calculated yielding a better estimate. Some computational results are presented for a dynamic version of this approach.

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References

  1. Dubois N., Semet F. (1995) Estimation and determination of shortest path length in a road network with obstacles. EJOR 83:105–116.

    Article  Google Scholar 

  2. Ertl, G. (1998) Shortest path calculations in large road networks, OR Spektrum 20:15–20.

    Article  Google Scholar 

  3. Gelperin, D. (1977) On the Optimality of A*, AI 8:69–76.

    Google Scholar 

  4. Goldberg, A.V. (2006) Point-to-Point Shortest Path Algorithms with Preprocessing, Technical Report, Microsoft Research.

    Google Scholar 

  5. Goldberg, A.V., Harrelson, C. (2004) Computing the Shortest Path: A* Search Meets Graph Theory, MSR-TR-2004-24, MS Research.

    Google Scholar 

  6. Gutman, R. (2004) Reach-based Routing: A New Approach to Shortest Path Algorithms Optimized for Road Networks, Proc. 6th International Workshop on Algorithm Engineering and Experiments, 100–111.

    Google Scholar 

  7. Hahne, F. (2000) Kürzeste und schnellste Wege in digitalen Straßenkarten, Dissertation, Universität Hildesheim.

    Google Scholar 

  8. Hahne, F. (2005) Analyse der Beschleunigung des A*-Verfahrens durch verbesserte Schätzer für die Restdistanz, OR Proceedings 2005.

    Google Scholar 

  9. Hart, P.E., Nilson, N.J., Raphael, B. (1968) A formal basis for the heuristic determination of minimal cost paths. IEEE Tr. on SSC 4:100–107.

    Google Scholar 

  10. Hart, P.E., Nilson, N.J., Raphael, B. (1972) Correction to: ‘A formal basis for the heuristic determination of min. cost paths’. Sigart NL 37:28–29.

    Article  Google Scholar 

  11. Hasselberg, S. (2000) Some results on heuristical algorithms for shortest path problems in large road networks, Dissertation, Universität Köln.

    Google Scholar 

  12. Ikeda T., Hsu M., Imai H. (1994) A fast algorithm for finding better routes by a.i. search techniques, VNIS Conference Proceedings 1994.

    Google Scholar 

  13. Klunder, G.A., Post, H.N. (2006) The shortest path problem on large scale real road networks, Networks 48:184–192.

    Article  Google Scholar 

  14. Lauther, U. (2004) An Extremely Fast, Exact Algorithm for Finding Shortest Paths in Static Networks with Geographical Background, IfGIprints 22, Institut für Geoinformatik, Universität Münster 219–230.

    Google Scholar 

  15. Nilsson, N. (1971) Problem-Solving Methods in Artificial Intelligence. McGraw-Hill, New York.

    Google Scholar 

  16. Pijls, W. (2007) Heuristic estimates in shortest path algorithms, Statistica Neerlandica 61:64–74.

    Article  Google Scholar 

  17. Sanders, P. Schultes, D. (2005) Highway hierarchies hasten exact shortest path queries, in: Brodal, G.S., Leonardi, S. (eds), Proc. 17th ESA, Lecture Notes in CS 3669, Springer, 568–579.

    Google Scholar 

  18. Stausberg, V. (1995) Ein Dekompositionsverfahren zur Berechnung kürzester Wege auf fast-planaren Graphen, Diploma Thesis, Univ. Köln.

    Google Scholar 

  19. Wagner, D., Willhalm, T. (2003) Geometric Speed-Up Techniques for Finding Shortest Paths in Large Sparse Graphs, Proc. 11th ESA.

    Google Scholar 

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Hahne, F., Nowak, C., Ambrosi, K. (2008). Acceleration of the A*-Algorithm for the Shortest Path Problem in Digital Road Maps. In: Kalcsics, J., Nickel, S. (eds) Operations Research Proceedings 2007. Operations Research Proceedings, vol 2007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77903-2_70

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