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X and the City by John A. Adam

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Chapter 9

PROBABILITY IN THE CITY

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There are many topics under the umbrella “road traffic” that are amenable to mathematical investigation. Examples include traffic flow on the open road and at intersections, parking problems, accident rates, design of road systems for new towns and expanding cities, traffic lights and other control systems, transportation and scheduling problems, to name but a few. And as in so many aspects of mathematical modeling, there are two basic choices: to define the problem in a deterministic or a probabilistic context. The former can subdivide farther into continuum or discrete (or equivalently, macroscopic or microscopic) ...

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