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Mathematical Models for Evacuation Planning in Urban Areas

Mathematical Models for Evacuation Planning in Urban Areas
Kataloginformation
Feldname Details
Vorliegende Sprache eng
Hinweise auf parallele Ausgaben 371925800 Buchausg. u.d.T.: ‡Bretschneider, Sarah: Mathematical models for evacuation planning in urban areas
ISBN 978-3-642-28758-9
Name Bretschneider, Sarah
T I T E L Mathematical Models for Evacuation Planning in Urban Areas
Verlagsort Berlin, Heidelberg
Verlag Springer
Erscheinungsjahr 2013
2013
Umfang Online-Ressource (XVI, 193 p. 79 illus, digital)
Reihe Lecture Notes in Economics and Mathematical Systems ; 659
Lecture notes in economics and mathematical systems
Band 659
Notiz / Fußnoten Description based upon print version of record
Weiterer Inhalt Mathematical Models for Evacuation Planning in Urban Areas; Preface; Contents; List of Figures; List of Tables; Chapter1 Introduction; 1.1 Evacuation Planning; 1.2 Basic Network Flow Problems; 1.2.1 A Generic Network Flow Model; 1.2.2 A Generic Network Flow Model with Waiting on Arcs; 1.2.3 Objectives; 1.3 Crossing and Merging Conflicts; 1.4 Chapter Synopsis; References; Chapter2 Literature Review; 2.1 Flow-Based Optimization Models; 2.2 Evacuation Models with Traffic Management Strategies; 2.3 Further Problems in Evacuation Planning; 2.4 Simulation Approaches; 2.5 Summary; References. Chapter3 An Urban Evacuation Problem3.1 A Network Representation; 3.2 A Mixed-Integer Urban Evacuation Model; 3.2.1 Decision Variables and Additional Parameters; 3.2.2 Model Formulation; 3.3 An Extension of the Urban Evacuation Model: Waiting on Arcs; 3.4 An Extension of the Urban Evacuation Model: A One-Way Evacuation Model; 3.5 Examples of the Variations of the Urban Evacuation Model; 3.5.1 An Example Considering Different Objective Functions; 3.5.2 An Example Considering Evacuation Models with and without Waiting; 3.5.3 An Example Considering the Two-Way and One-Way Model; References. Chapter4 A Relaxation-Based Heuristic Approach for the Mixed-Integer Evacuation Model4.1 A Relaxation-Based Heuristic Solution Approach; 4.1.1 Preliminary Considerations; 4.1.2 Adjustment Algorithm; 4.2 Adjustments for the Evacuation Model with Waiting and the One-Way Urban Evacuation Model; 4.3 Computational Study; 4.3.1 Computational Study: Two-Way Heuristic Approach; 4.3.2 Computational Study: One-Way Heuristic Approach; References; Chapter5 A Pattern-Based Evacuation Planning Model for Urban Areas; 5.1 A One-Stage Pattern-Based Urban Evacuation Model. 5.2 Patterns of Street Sections Between Intersections5.3 Patterns of Intersections; 5.3.1 Graphs and Patterns of Intersections; 5.3.2 Number of Crossing Conflicts; 5.3.3 Planar Graphs and Patterns; References; Chapter6 A Two-Staged Heuristic Approach; 6.1 First Stage of the Heuristic; 6.2 Second Stage of the Heuristic; 6.3 Computational Study; 6.3.1 Sets of Instances; 6.3.2 Models for Comparison; 6.3.3 Computational Results; Reference; Chapter7 A Multicommodity Urban Evacuation Problem; 7.1 Introduction and Assumptions; 7.2 A Multicommodity Evacuation Model; 7.2.1 A Network Representation. 7.2.2 Parameters and Variables7.2.3 Objective and Constraints; 7.3 An Illustration of Solutions of the Multicommodity Urban Evacuation Model; Chapter8 A Four-Staged Heuristic Approach to Solve the Urban Multicommodity Model; 8.1 First Stage of the Multicommodity Heuristic; 8.2 Second Stage of the Multicommodity Heuristic; 8.3 Third Stage of the Multicommodity Heuristic; 8.4 Fourth Stage of the Multicommodity Heuristic; 8.5 Computational Study; Chapter 9 Conclusions and Future Research; References; Appendix A Information About the Computational Study of the Relaxation-Based Approach. A.1 Reference Values Used to Compare the Results of the Relaxation-Based Approach
Titelhinweis Buchausg. u.d.T.: ‡Bretschneider, Sarah: Mathematical models for evacuation planning in urban areas
ISBN ISBN 978-3-642-28759-6
ISBN 1-283-62696-9 ebk
ISBN 978-1-283-62696-5 MyiLibrary
Klassifikation KJMD
KJT
BUS049000
*90-02
90B50
90C90
90C29
90B10
90B20
658.40301
HD30.23
QQ 645
SI 853
Kurzbeschreibung Introduction -- Literature Review -- An Urban Evacuation Problem -- A Relaxation-Based Heuristic Approach for the Mixed-Integer Evacuation Model -- A Pattern-Based Evacuation Planning Model for Urban Areas -- A Two-Staged Heuristic Approach -- A Multicommodity Urban Evacuation Problem -- A Four-Staged Heuristic Approach to Solve the Urban Multicommodity Model -- Conclusions and Future Research -- Information About the Computational Study of the Relaxation-Based Approach
2. Kurzbeschreibung 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
1. Schlagwortkette Stadt
Katastrophenmanagement
Evakuierung
Mathematisches Modell
SWB-Titel-Idn 373364105
Signatur Springer E-Book
Bemerkungen Elektronischer Volltext - Campuslizenz
Elektronische Adresse $uhttp://dx.doi.org/10.1007/978-3-642-28759-6
Internetseite / Link Volltext
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