Mathematical Models for Evacuation Planning in Urban Areas

  • Sarah Bretschneider

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

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Sarah Bretschneider
    Pages 1-16
  3. Sarah Bretschneider
    Pages 17-38
  4. Sarah Bretschneider
    Pages 39-66
  5. Sarah Bretschneider
    Pages 129-144
  6. Sarah Bretschneider
    Pages 145-161
  7. Sarah Bretschneider
    Pages 185-189
  8. Back Matter
    Pages 191-193

About this book


Disasters like floods, hurricanes, chemical or nuclear accidents may cause the necessity to evacuate the affected area. The evacuation of  the urban area needs to be planned carefully. One issue is the reorganization of the traffic routing. Congested urban areas  have usually complex street networks that are composed of many intersections with streets connecting them. The population density of a congested urban area is usually high and the street network is already used to capacity during rush hour traffic. The considered problem of this work is the reorganization of the traffic routing of an urban area for the case of an emergency mass evacuation. Especially aspects of the evacuation like safety, avoidance of delays and the total system travel time are taken into account. Combinatorial and graph theoretical aspects are adapted for the evacuation problem and highlight issues concerning especially conflicts within intersections. This work gives an extensive summary of literature of evacuation of urban areas. Mixed-integer linear programming models are developed for evacuation problems and heuristic algorithms are provided and tested.​


evacuation planning heuristic algorithms mathematical optimization

Authors and affiliations

  • Sarah Bretschneider
    • 1
  1. 1.SolingenGermany

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Business and Economics
  • Print ISBN 978-3-642-28758-9
  • Online ISBN 978-3-642-28759-6
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site
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