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2014 | OriginalPaper | Chapter

Large Graphs: Fast Cost Update and Query Algorithms. Application for Emergency Vehicles

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Abstract

This chapter presents a method that can be used to solve the shortest path problem in large graphs, together with arc cost updates. Our approach uses a contracted graph, which is obtained from the important nodes of the original graph. Every non-important vertex has one or more assigned important nodes as references. A reference node will help us to quickly find the arcs to be updated. The advantage of our method is that we can quickly update the contracted graph, so it can be safely used for future queries. An application of these algorithms can be used by emergency vehicles.

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Literature
2.
go back to reference Bauer, R., Delling, D., Wagner, D.: Experimental study of speed-up techniques for timetable information systems. J. Netw. 57, 38–52 (2011)MathSciNetCrossRef Bauer, R., Delling, D., Wagner, D.: Experimental study of speed-up techniques for timetable information systems. J. Netw. 57, 38–52 (2011)MathSciNetCrossRef
3.
go back to reference Hart, P.E., Nilsson, N., Raphael, B.: A formal basis for the heuristic determination of minimum cost paths. IEEE Trans. Syst. Sci. Cybern. 4, 100–107 (1968)CrossRef Hart, P.E., Nilsson, N., Raphael, B.: A formal basis for the heuristic determination of minimum cost paths. IEEE Trans. Syst. Sci. Cybern. 4, 100–107 (1968)CrossRef
4.
go back to reference Goldberg, A., Harelson, C.: Computing the shortest path: A* search meets graph theory. In: Proceedings of 16th Annual ACM-SIAM Symposium Discrete Algorithms (SODA’05), pp. 156–165 (2005) Goldberg, A., Harelson, C.: Computing the shortest path: A* search meets graph theory. In: Proceedings of 16th Annual ACM-SIAM Symposium Discrete Algorithms (SODA’05), pp. 156–165 (2005)
5.
go back to reference Delling, D., Wagner, D.: Landmark-based routing in dynamic graphs. In: Proceedings of 6th Workshop of Experimental Algorithms, Lecture Notes in Computer Science, vol. 4525, pp. 52–65. Springer, June 2007 Delling, D., Wagner, D.: Landmark-based routing in dynamic graphs. In: Proceedings of 6th Workshop of Experimental Algorithms, Lecture Notes in Computer Science, vol. 4525, pp. 52–65. Springer, June 2007
6.
go back to reference Möhring, R.H., Schilling, H., Schiltz, B., Wagner, D., Willhalm, T.: Partitioning graphs to speed up Dijkstra’s algorithm. In: Proceedings of 4th Workshop on Experimental Algorithms (WEA’05), Lecture Notes in Computer Science, vol. 3503, pp. 189–202. Springer, 2005 Möhring, R.H., Schilling, H., Schiltz, B., Wagner, D., Willhalm, T.: Partitioning graphs to speed up Dijkstra’s algorithm. In: Proceedings of 4th Workshop on Experimental Algorithms (WEA’05), Lecture Notes in Computer Science, vol. 3503, pp. 189–202. Springer, 2005
7.
go back to reference Bauer, R., Delling, D.: SHARC: fast and robust unidirectional routing. In: Proceedings of 10th Workshop of Algorithms and Engineering Experiments (ALENEX’08), SIAM, pp. 13–26 April 2008 Bauer, R., Delling, D.: SHARC: fast and robust unidirectional routing. In: Proceedings of 10th Workshop of Algorithms and Engineering Experiments (ALENEX’08), SIAM, pp. 13–26 April 2008
8.
go back to reference Sanders, P., Schultes, D.: Engineering highway hierarchies. In: Proceedings of 14th Annual European Symposium Algorithms (ESA’06), Lecture Notes in Computer Science, vol. 4168, pp. 804–816. Springer, 2006 Sanders, P., Schultes, D.: Engineering highway hierarchies. In: Proceedings of 14th Annual European Symposium Algorithms (ESA’06), Lecture Notes in Computer Science, vol. 4168, pp. 804–816. Springer, 2006
9.
go back to reference Geisberger, R., Sanders, P., Schultes, D., Delling, D.: Contraction hierarchies: faster and simpler hierarchical routing in road networks. In: Proceedings of 7th Workshop Experimental Algorithms, pp. 319–333 (2008) Geisberger, R., Sanders, P., Schultes, D., Delling, D.: Contraction hierarchies: faster and simpler hierarchical routing in road networks. In: Proceedings of 7th Workshop Experimental Algorithms, pp. 319–333 (2008)
10.
go back to reference Goldberg, A., Kaplan, H., Werneck, R.F.: Reach for A*: efficient point-to-point shortest path algorithms. In: Proceedings of the 8th Workshop on Algorithms Engineering and Experiments (ALENEX’06), SIAM, pp. 129–143 (2006) Goldberg, A., Kaplan, H., Werneck, R.F.: Reach for A*: efficient point-to-point shortest path algorithms. In: Proceedings of the 8th Workshop on Algorithms Engineering and Experiments (ALENEX’06), SIAM, pp. 129–143 (2006)
11.
go back to reference Gutman, R.J.: Reach-based routing: a new approach to shortest path algorithm optimized for road networks. In: Proceedings of 6th Workshop Algorithm Engineering and Experiments (ALENEX’04), SIAM, pp. 100–111 (2004) Gutman, R.J.: Reach-based routing: a new approach to shortest path algorithm optimized for road networks. In: Proceedings of 6th Workshop Algorithm Engineering and Experiments (ALENEX’04), SIAM, pp. 100–111 (2004)
12.
go back to reference Bast, H., Funke, S., Matijevic, S., Sanders, P., Schultes, D.: Intransit to constant time shortest path queries in road networks. In: Proceedings of the 9th Workshop on Algorithm Engineering and Experiments and the 4th Workshop on Analytic Algorithmics and Combinatorics, pp. 46–59 (2007) Bast, H., Funke, S., Matijevic, S., Sanders, P., Schultes, D.: Intransit to constant time shortest path queries in road networks. In: Proceedings of the 9th Workshop on Algorithm Engineering and Experiments and the 4th Workshop on Analytic Algorithmics and Combinatorics, pp. 46–59 (2007)
13.
14.
go back to reference Schultes, D., Sanders, P.: Dynamic highway-node routing. In: Proceedings of 6th Workshop on Experimental Algorithms (WEA’07), Lecture Notes in Computer Science, vol. 4525, pp. 66–79. Springer, June 2007 Schultes, D., Sanders, P.: Dynamic highway-node routing. In: Proceedings of 6th Workshop on Experimental Algorithms (WEA’07), Lecture Notes in Computer Science, vol. 4525, pp. 66–79. Springer, June 2007
15.
go back to reference Chlamtac, I., Conti, M., Liu, J.: Mobile ad-hoc networking: imperatives and challenges, pp. 13–64. Ad-Hoc Networks I, Elsevier (2003) Chlamtac, I., Conti, M., Liu, J.: Mobile ad-hoc networking: imperatives and challenges, pp. 13–64. Ad-Hoc Networks I, Elsevier (2003)
Metadata
Title
Large Graphs: Fast Cost Update and Query Algorithms. Application for Emergency Vehicles
Author
Ion Cozac
Copyright Year
2014
DOI
https://doi.org/10.1007/978-3-319-00467-9_19

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