Skip to main content

A Pattern-Based Evacuation Planning Model for Urban Areas

  • Chapter
  • First Online:

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 659))

Abstract

The urban evacuation model that will be presented in this chapter is a pattern-based dynamic network flow model without waiting. It is based on a detailed network, like the model presented in Chap. 3, that models every entrance/exit of every intersection and every possible direction within these intersections to map the traffic conflicts within them. The problem stays the same as in Chap. 3. The traffic routing for an emergency evacuation is to be determined such that the flow of evacuees traveling from sources to sinks is optimized. The considered objective in this chapter is the weighted sum of flows entering the sinks, where the weights are increasing with time. We assume that every person can leave the evacuation zone on its own by a vehicle. To provide a safe evacuation the traffic routing is adjusted subject to the following traffic management ideas: the readjustment of every street to a one-way street, whereas a street can be divided into two sections and these sections can lead in opposing directions, the prohibition of crossing conflicts and the limitation of the number of merging lanes within intersections.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

Learn about institutional subscriptions

References

  • Bretschneider S, Kimms A (2011) Pattern-based evacuation planning for urban areas. Eur J Oper Res 216:57–69

    Google Scholar 

  • Clark J, Holton DA (1995) A first look at graph theory. World Scientific Publishing Company, Singapore

    Google Scholar 

  • Stanley RP (1997) Enumerative combinatorics, band 1. Cambridge University Press, Cambridge

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Bretschneider, S. (2012). A Pattern-Based Evacuation Planning Model for Urban Areas. In: Mathematical Models for Evacuation Planning in Urban Areas. Lecture Notes in Economics and Mathematical Systems, vol 659. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28759-6_5

Download citation

Publish with us

Policies and ethics