Skip to main content

A Dartboard Network Cut Based Approach to Evacuation Route Planning: A Summary of Results

  • Conference paper
Geographic Information Science (GIScience 2012)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 7478))

Included in the following conference series:

  • 2379 Accesses

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.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. 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)

  2. U.S.Census Bureau - TIGER/Lines, http://goo.gl/P6Ye7 (retrieved January 2012)

  3. OpenStreetMap, http://goo.gl/Hso0 (retrieved April 2012)

  4. Ahuja, R., Magnanti, T., Orlin, J., Weihe, K.: Network flows: theory, algorithms and applications. Prentice Hall (1993)

    Google Scholar 

  5. 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)

    Google Scholar 

  6. Bhandari, R.: Survivable Networks: Algorithms for Diverse Routing. Kluwer Academic Publishers, Norwell (1998)

    Google Scholar 

  7. Fleischer, L., Skutella, M.: Quickest flows over time. SIAM Journal on Computing 36, 1600–1630 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  8. Ford, D., Fulkerson, D.: Flows in networks. Princeton university press (2010)

    Google Scholar 

  9. Gastner, M., Newman, M.: The spatial structure of networks. The European Physical Journal B-Condensed Matter and Complex Systems 49, 247–252 (2006)

    Article  Google Scholar 

  10. Hamacher, H., Tjandra, S.: Mathematical modelling of evacuation problems: State of the art. In: Pedestrian and Evacuation Dynamics, pp. 227–266. Springer (2002)

    Google Scholar 

  11. Hillier, F., Lieberman, G., Hillier, M.: Introduction to operations research. McGraw-Hill (1990)

    Google Scholar 

  12. Kleinberg, J.M.: Approximation algorithms for disjoint paths problems. Ph.D. Dissertation, Dept. of CS., Massachusetts Institute of Technology (1996)

    Google Scholar 

  13. Korf, R., Zhang, W., Thayer, I., Hohwald, H.: Frontier search. Journal of the ACM (JACM) 52, 715–748 (2005)

    Article  MathSciNet  Google Scholar 

  14. Levinson, D., Yerra, B.: Self-organization of surface transportation networks. Transportation Science 40, 179–188 (2006)

    Article  Google Scholar 

  15. 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)

    Chapter  Google Scholar 

  16. 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)

    Google Scholar 

  17. Schrijver, A.: Combinatorial optimization. Springer (2003)

    Google Scholar 

  18. Shekhar, S., Chawla, S.: Spatial databases: a tour. Prentice Hall, Upper Saddle River (2003), 7458

    Google Scholar 

  19. Sidhu, D., Nair, R., Abdallah, S.: Finding disjoint paths in networks. ACM SIGCOMM Computer Communication Review 21, 43–51 (1991)

    Article  Google Scholar 

  20. Suurballe, J.: Disjoint paths in a network. Networks 4, 125–145 (1974)

    Article  MathSciNet  MATH  Google Scholar 

  21. Suurballe, J., Tarjan, R.: A quick method for finding shortest pairs of disjoint paths. Networks 14, 325–336 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  22. Wardrop, J.: Some theoretical aspects of road traffic research. Proceedings of the Institution of Civil Engineers 2(1) (1952)

    Google Scholar 

  23. Xie, F., Levinson, D.: Measuring the structure of road networks. Geographical Analysis 39, 336–356 (2007)

    Article  Google Scholar 

  24. 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)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints 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)

Publish with us

Policies and ethics