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Mathematical Models for Evacuation Planning in Urban Areas

  • Book
  • © 2013

Overview

Authors:
  1. Sarah Bretschneider

    1. Solingen, Germany

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Introduction

    • Sarah Bretschneider
    Pages 1-16

  3. Literature Review

    • Sarah Bretschneider
    Pages 17-38

  4. An Urban Evacuation Problem

    • Sarah Bretschneider
    Pages 39-66

  5. A Relaxation-Based Heuristic Approach for the Mixed-Integer Evacuation Model

    • Sarah Bretschneider
    Pages 67-100

  6. A Pattern-Based Evacuation Planning Model for Urban Areas

    • Sarah Bretschneider
    Pages 101-128

  7. A Two-Staged Heuristic Approach

    • Sarah Bretschneider
    Pages 129-144

  8. A Multicommodity Urban Evacuation Problem

    • Sarah Bretschneider
    Pages 145-161

  9. A Four-Staged Heuristic Approach to Solve the Urban Multicommodity Model

    • Sarah Bretschneider
    Pages 163-184

  10. Conclusions and Future Research

    • Sarah Bretschneider
    Pages 185-189

  11. Erratum to: Mathematical Models for Evacuation Planning in Urban Areas

    • Sarah Bretschneider
    Pages E1-E1

  12. Back Matter

    Pages 191-193
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Keywords

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.?

Authors and Affiliations

  • Solingen, Germany

    Sarah Bretschneider

About the author

Sarah Bretschneider worked as research assistant at the university Duisburg-Essen, Germany from 2006-2011. Since 2011 she works for the life and health actuarial department of the Generali Deutschland Holding AG.

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