Skip to main content

Optimal Evacuation Solutions for Large-Scale Scenarios

  • Conference paper
  • First Online:
Operations Research Proceedings 2010

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

Abstract

Evacuation, the process of moving people out of potentially dangerous areas, is a key response to many threats. Planning such an evacuation is therefore important, especially in large-scale emergencies, where routing becomes non-trivial. This paper deals with the optimization and simulation of the evacuation process. We draw our data from the study of the city of Padang in Indonesia, with its high threat of tsunami waves.

Supported by the Federal Ministry for Education and Research (BMBF) under grants 03NAPI4, 03SKPAI6 (“Advest”) and 03G0666E (“last mile”) and by the DFG Research Center MATHEON Mathematics for key technologies in Berlin.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

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.

References

  1. Lisa Fleischer and Martin Skutella. Quickest flows over time. SIAM Journal on Computing, 36: 1600–1630, 2007.

    Article  Google Scholar 

  2. L. R. Ford and D. R. Fulkerson. Flows in Networks. Princeton University Press, 1962.

    Google Scholar 

  3. H.W. Hamacher and S.A. Tjandra. Mathematical modelling of evacuation problems – a state of the art. In Pedestrian and Evacuation Dynamics, pages 227–266, 2002.

    Google Scholar 

  4. B. Hoppe and É. Tardos. The quickest transshipment problem. Mathematics of Operations Research, 25: 36–62, 2000.

    Article  Google Scholar 

  5. J. Jarvis and H. Ratliff. Some equivalent objectives for dynamic network flow problems. Management Science, 28: 106–108, 1982.

    Article  Google Scholar 

  6. G. Lämmel and G. Flötteröd. Towards system optimum: finding optimal routing strategies in time dependent networks for large-scale evacuation problems. Volume 5803 of LNCS (LNAI), pages 532–539, Berlin Heidelberg, 2009. Springer.

    Google Scholar 

  7. G. Lämmel, D. Grether, and K. Nagel. The representation and implementation of time-dependent inundation in large-scale microscopic evacuation simulations. Transportation Research Part C: Emerging Technologies, 18: 84–98, February 2010.

    Article  Google Scholar 

  8. K. Nagel and G. Flötteröd. Agent-based traffic assignment: going from trips to behavioral travelers. In Proceedings of 12th International Conference on Travel Behaviour Research, Jaipur, India, December 2009. Invited resource paper.

    Google Scholar 

  9. S. Peeta and H.S. Mahmassani. System optimal and user equilibrium time-dependent traffic assignment in congested networks. Annals of Operations Research, 60: 81–113, 1995.

    Article  Google Scholar 

  10. S. Peeta and A.K. Ziliaskopoulos. Foundations of dynamic traffic assignment: The past, the present and the future. Networks and Spatial Economics, 1: 233–265, 2001.

    Article  Google Scholar 

  11. T. Roughgarden. Selfish Routing and the Price of Anarchy. MIT Press, May 2005.

    Google Scholar 

  12. S.A. Tjandra. Earliest arrival flow with time dependent capacity approach to the evacuation problems. Technical report, TU Kaiserslautern, 2001.

    Google Scholar 

  13. S.A. Tjandra. Dynamic Network Optimization with Application to the Evacuation Problem. PhD thesis, TU Kaiserslautern, 2003.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Daniel Dressler .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Dressler, D., Flötteröd, G., Lämmel, G., Nagel, K., Skutella, M. (2011). Optimal Evacuation Solutions for Large-Scale Scenarios. In: Hu, B., Morasch, K., Pickl, S., Siegle, M. (eds) Operations Research Proceedings 2010. Operations Research Proceedings. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20009-0_38

Download citation

Publish with us

Policies and ethics