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(r) 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.
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