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Globally optimal departure rates for several groups of drivers

  • Received: 01 January 2019 Accepted: 18 April 2019 Published: 30 July 2019
  • The first part of this paper contains a brief introduction to conservation law models of traffic flow on a network of roads. Globally optimal solutions and Nash equilibrium solutions are reviewed, with several groups of drivers sharing different cost functions. In the second part we consider a globally optimal set of departure rates, for different groups of drivers but on a single road. Necessary conditions are proved, which lead to a practical algorithm for computing the optimal solution.

    Citation: Alberto Bressan, Yucong Huang. Globally optimal departure rates for several groups of drivers[J]. Mathematics in Engineering, 2019, 1(3): 583-613. doi: 10.3934/mine.2019.3.583

    Related Papers:

  • The first part of this paper contains a brief introduction to conservation law models of traffic flow on a network of roads. Globally optimal solutions and Nash equilibrium solutions are reviewed, with several groups of drivers sharing different cost functions. In the second part we consider a globally optimal set of departure rates, for different groups of drivers but on a single road. Necessary conditions are proved, which lead to a practical algorithm for computing the optimal solution.


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