Abstract
Given a transportation network, a population, and a set of destinations, the goal of evacuation route planning is to produce routes that minimize the evacuation time for the population. Evacuation planning is essential for ensuring public safety in the wake of man-made or natural disasters (e.g., terrorist acts, hurricanes, and nuclear accidents). The problem is challenging because of the large size of network data, the large number of evacuees, and the need to account for capacity constraints in the road network. Promising methods that incorporate capacity constraints into route planning have been developed but new insights are needed to reduce the high computational costs incurred by these methods with large-scale networks. In this paper, we propose a novel scalable approach that explicitly exploits the spatial structure of road networks to minimize the computational time. Our new approach accelerates the routing algorithm by partitioning the network using dartboard network-cuts and groups node-independent shortest routes to reduce the number of search iterations. Experimental results using a Minneapolis, MN road network demonstrate that the proposed approach outperforms prior work for CCRP computation by orders of magnitude.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
The New York Times, HURRICANE ANDREW: When a Monster Is on the Way, ’It’s Time to Get Out of Town. In: Texas, a Line of Cars 50 Miles Long (August 26, 1992), http://goo.gl/hq0EH (retrieved April 2012)
U.S.Census Bureau - TIGER/Lines, http://goo.gl/P6Ye7 (retrieved January 2012)
OpenStreetMap, http://goo.gl/Hso0 (retrieved April 2012)
Ahuja, R., Magnanti, T., Orlin, J., Weihe, K.: Network flows: theory, algorithms and applications. Prentice Hall (1993)
Ben-Akiva, M., et al.: Development of a deployable real-time dynamic traffic assignment system: Dynamit and dynamit-p users guide. Intelligent Transportation Systems Program. Massachusetts Institute of Technology (2002)
Bhandari, R.: Survivable Networks: Algorithms for Diverse Routing. Kluwer Academic Publishers, Norwell (1998)
Fleischer, L., Skutella, M.: Quickest flows over time. SIAM Journal on Computing 36, 1600–1630 (2007)
Ford, D., Fulkerson, D.: Flows in networks. Princeton university press (2010)
Gastner, M., Newman, M.: The spatial structure of networks. The European Physical Journal B-Condensed Matter and Complex Systems 49, 247–252 (2006)
Hamacher, H., Tjandra, S.: Mathematical modelling of evacuation problems: State of the art. In: Pedestrian and Evacuation Dynamics, pp. 227–266. Springer (2002)
Hillier, F., Lieberman, G., Hillier, M.: Introduction to operations research. McGraw-Hill (1990)
Kleinberg, J.M.: Approximation algorithms for disjoint paths problems. Ph.D. Dissertation, Dept. of CS., Massachusetts Institute of Technology (1996)
Korf, R., Zhang, W., Thayer, I., Hohwald, H.: Frontier search. Journal of the ACM (JACM) 52, 715–748 (2005)
Levinson, D., Yerra, B.: Self-organization of surface transportation networks. Transportation Science 40, 179–188 (2006)
Lu, Q., George, B., Shekhar, S.: Capacity Constrained Routing Algorithms for Evacuation Planning: A Summary of Results. In: Medeiros, C.B., Egenhofer, M., Bertino, E. (eds.) SSTD 2005. LNCS, vol. 3633, pp. 291–307. Springer, Heidelberg (2005)
Mahmassani, H., Sbayti, H., Zhou, X.: Dynasmart-p: Intelligent transportation network planning tool: Version 1.0 users guide. Maryland Transportation Initiative, University of Maryland, College Park, MD (2004)
Schrijver, A.: Combinatorial optimization. Springer (2003)
Shekhar, S., Chawla, S.: Spatial databases: a tour. Prentice Hall, Upper Saddle River (2003), 7458
Sidhu, D., Nair, R., Abdallah, S.: Finding disjoint paths in networks. ACM SIGCOMM Computer Communication Review 21, 43–51 (1991)
Suurballe, J.: Disjoint paths in a network. Networks 4, 125–145 (1974)
Suurballe, J., Tarjan, R.: A quick method for finding shortest pairs of disjoint paths. Networks 14, 325–336 (1984)
Wardrop, J.: Some theoretical aspects of road traffic research. Proceedings of the Institution of Civil Engineers 2(1) (1952)
Xie, F., Levinson, D.: Measuring the structure of road networks. Geographical Analysis 39, 336–356 (2007)
Zhou, X., George, B., Kim, S., Wolff, J., Lu, Q., Shekhar, S., Nashua, O., Team, G.: Evacuation planning: A spatial network database approach. Bulletin of the Technical Committee on Data Engineering 33(2), 26 (2010)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yang, K., Gunturi, V.M.V., Shekhar, S. (2012). A Dartboard Network Cut Based Approach to Evacuation Route Planning: A Summary of Results. In: Xiao, N., Kwan, MP., Goodchild, M.F., Shekhar, S. (eds) Geographic Information Science. GIScience 2012. Lecture Notes in Computer Science, vol 7478. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33024-7_24
Download citation
DOI: https://doi.org/10.1007/978-3-642-33024-7_24
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33023-0
Online ISBN: 978-3-642-33024-7
eBook Packages: Computer ScienceComputer Science (R0)