Mathematical Models for Evacuation Planning in Urban Areas
Mathematical Models for Evacuation Planning in Urban Areas

Author: Sarah Bretschneider

Publisher: Springer Science & Business Media

Published: 2012-07-20

Total Pages: 209

ISBN-13: 364228759X

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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.?

Intelligent Transportation and Evacuation Planning
Intelligent Transportation and Evacuation Planning

Author: Arab Naser

Publisher: Springer Science & Business Media

Published: 2012-06-09

Total Pages: 121

ISBN-13: 1461421438

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Intelligent Transportation and Evacuation Planning: A Modeling-Based Approach provides a new paradigm for evacuation planning strategies and techniques. Recently, evacuation planning and modeling have increasingly attracted interest among researchers as well as government officials. This interest stems from the recent catastrophic hurricanes and weather-related events that occurred in the southeastern United States (Hurricane Katrina and Rita). The evacuation methods that were in place before and during the hurricanes did not work well and resulted in thousands of deaths. This book offers insights into the methods and techniques that allow for implementing mathematical-based, simulation-based, and integrated optimization and simulation-based engineering approaches for evacuation planning.

Pedestrian Dynamics
Pedestrian Dynamics

Author: Pushkin Kachroo

Publisher: CRC Press

Published: 2018-10-03

Total Pages: 169

ISBN-13: 1439805202

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Homeland security, transportation, and city planning depend upon well-designed evacuation routes. You can’t wait until the day of to realize your plan won’t work. Designing successful evacuation plans requires an in-depth understanding of models and control designs for the problems of traffic flow, construction and road closures, and the intangible human factors. Pedestrian Dynamics: Mathematical Theory and Evacuation Control clearly delineates the derivation of mathematical models for pedestrian dynamics and how to use them to design feedback controls for evacuations. The book includes: Mathematical models derived from basic principles Mathematical analysis of the model Details of past work MATLAB® code 65 figures and 400 equations Unlike most works on traffic flow, this book examines the development of optimal methods to effectively control and improve pedestrian traffic flow. The work of a leading expert, it examines the differential equations applied to conservation laws encountered in the study of pedestrian dynamics and evacuation control problem. The author presents new pedestrian traffic models for multi-directional flow in two dimensions. He considers a range of control models in various simulations, including relaxed models and those concerned with direction and magnitude velocity commands. He also addresses questions of time, cost, and scalability. The book clearly demonstrates what the future challenges are and provides the tools to meet them.

A Mathematical Evacuation Model
A Mathematical Evacuation Model

Author: S. D. Stearns

Publisher:

Published: 1963

Total Pages: 38

ISBN-13:

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The mathematical model discussed in this report is meant to be applicable to the problem of planning "optimum" strategic evacuations, in the sense that expected nuclear attack casualties to a given population are minimized. In the model, an "attack area" is divided into sectors. Within each sector, the vulnerability of personnel in various categories representing varying degrees of protection is specified, along with the maximum number of occupants allowed in each category. The allowed movements between sectors must also be specified. The principle problem discussed is that of determining an evacuation plan for a given attack area which minimizes the expected number of post-attack casualties. A linear program for deriving optimum evacuation plans is described, and examples of its operation are given.

Evacuation Modeling Trends
Evacuation Modeling Trends

Author: Arturo Cuesta

Publisher: Springer

Published: 2015-10-17

Total Pages: 138

ISBN-13: 3319207083

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This book presents an overview of modeling definitions and concepts, theory on human behavior and human performance data, available tools and simulation approaches, model development, and application and validation methods. It considers the data and research efforts needed to develop and incorporate functions for the different parameters into comprehensive escape and evacuation simulations, with a number of examples illustrating different aspects and approaches. After an overview of basic modeling approaches, the book discusses benefits and challenges of current techniques. The representation of evacuees is a central issue, including human behavior and the proper implementation of representational tools. Key topics include the nature and importance of the different parameters involved in ASET and RSET and the interactions between them. A review of the current literature on verification and validation methods is provided, with a set of recommended verification tests and examples of validation tests. The book concludes with future challenges: new scenarios and factors for future model developments, addresses the problem of using deterministic and/or stochastic approaches and proposes, and discusses the use of evacuation models for supporting timely decisions in real-time. Written by international experts, Evacuation Modeling Trends is designed for those involved in safety, from emergency and intervention personnel to students, engineers and researchers.

Large-Scale Evacuation
Large-Scale Evacuation

Author: Michael K. Lindell

Publisher: CRC Press

Published: 2018-12-07

Total Pages: 347

ISBN-13: 1482259869

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Large-Scale Evacuation introduces the reader to the steps involved in evacuation modelling for towns and cities, from understanding the hazards that can require large-scale evacuations, through understanding how local officials decide to issue evacuation advisories and households decide whether to comply, to transportation simulation and traffic management strategies. The author team has been recognized internationally for their research and consulting experience in the field of evacuations. Collectively, they have 125 years of experience in evacuation, including more than 140 projects for federal and state agencies. The text explains how to model evacuations that use the road transportation network by combining perspectives from social scientists and transportation engineers, fields that have commonly approached evacuation modelling from distinctly different perspectives. In doing so, it offers a step-by-step guide through the key questions needed to model an evacuation and its impacts to the evacuation route system as well as evacuation management strategies for influencing demand and expanding capacity. The authors also demonstrate how to simulate the resulting traffic and evacuation management strategies that can be used to facilitate evacuee movement and reduce unnecessary demand. Case studies, which identify key points to analyze in an evacuation plan, discuss evacuation termination and re-entry, and highlight challenges that someone developing an evacuation plan or model should expect, are also included. This textbook will be of interest to researchers, practitioners, and advanced students.

Crowd Behavior Simulation of Pedestrians During Evacuation Process
Crowd Behavior Simulation of Pedestrians During Evacuation Process

Author: Noorhazlinda Abd Rahman

Publisher: Springer

Published: 2018-09-04

Total Pages: 79

ISBN-13: 9811318468

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This book introduces the use of the distinct element method (DEM) in modeling crowd behavior and simulating evacuation processes. Focusing on the mathematical computation of the uncertain behavior of evacuees, which is switching action behavior, it subsequently reproduces the crowd evacuation process under several conjectural scenarios using a DEM-based multi-agent model that has been modified by introducing the switching action behavior. The proposed switching action behavior model describes a person who has to change his/her destination due to the limited space capacity of the designated evacuation area. The change in the destination of a person is determined according to the motion of other individuals in the perception domain during the defined switching action time. The switching action time is formulated in the so-called switching action function, which is described by a convolution integral of the input and unit response functions. The newly developed switching action model is then validated using sensitivity analysis in which the primary focus is the crowd motion and flow of switching action behavior.

Pedestrian and Evacuation Dynamics 2008
Pedestrian and Evacuation Dynamics 2008

Author: Wolfram W. F. Klingsch

Publisher: Springer Science & Business Media

Published: 2010-03-11

Total Pages: 807

ISBN-13: 3642045049

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The international conference on "Pedestrian and Evacuation Dynamics", held on February 27-29, 2008 at Wuppertal University in Germany, was the fourth in this series after successful meetings in Duisburg (2001), Greenwich (2003) and Vienna (2005). The conference was aimed at improving the scientific exchange between scientists, experts and practitioners of various fields of pedestrian and evacuation dynamics and featured: the analysis of evacuation processes and pedestrian motion, modeling of pedestrian dynamics in various situations, experiments on pedestrian dynamics, human behavior research, regulatory action. All these topics are included in this book to give a broad and state-of-the-art overview of pedestrian and evacuation dynamics.