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Modeling and Managing Traffic Flow Through Hyperbolic Conservation Laws

In: Traffic and Granular Flow ’03

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  • R.M. Colombo

    (Brescia University, Department of Mathematics)

Abstract

Summary Continuum models for traffic flows may serve as a tool for the optimal management of traffic. From the mathematical point of view, the development of a control theory for conservation laws is still at its beginning. From the engineering point of view, both the optimality criteria and the selection of the controllable parameters seem far from being standardized. This note presents first some recently introduced continuum models, then some optimal management problem are discussed.

Suggested Citation

  • R.M. Colombo, 2005. "Modeling and Managing Traffic Flow Through Hyperbolic Conservation Laws," Springer Books, in: Serge P. Hoogendoorn & Stefan Luding & Piet H. L. Bovy & Michael Schreckenberg & Dietrich E. Wolf (ed.), Traffic and Granular Flow ’03, pages 229-234, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-28091-0_21
    DOI: 10.1007/3-540-28091-X_21
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