Description
Book SynopsisHomeland 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.
Table of Contents
Introduction. Derivation of Conservation Laws. Traffic Models: One Dimensional Case. Traffic Models: Two-Dimensional Case. Conservation Law Solutions. Traffic Control. Simulations for Advective Control. Conclusions.