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Braess Paradox in Networks of Stochastic Microscopic Traffic Models

In: Traffic and Granular Flow '17

Author

Listed:
  • Stefan Bittihn

    (University of Cologne, Institute for Theoretical Physics)

  • Andreas Schadschneider

    (University of Cologne, Institute for Theoretical Physics)

Abstract

The Braess Paradox describes a counterintuitive situation that can arise in traffic networks which are used by selfish drivers who want to minimize their own traveltimes. For specific combinations of demand and traveltime functions of the roads in such networks the addition of a new road, resulting in a per se faster origin–destination connection, can lead to higher traveltimes for all network users. As an important addition to previous research on the paradox which focused on deterministic macroscopic models of traffic in road networks, we study its occurrence employing a stochastic microscopic traffic model—the totally asymmetric exclusion process (TASEP). We find that the paradox also occurs in these more realistic traffic models and that, depending on the degree of stochasticity, it dominates large parts of the phase space.

Suggested Citation

  • Stefan Bittihn & Andreas Schadschneider, 2019. "Braess Paradox in Networks of Stochastic Microscopic Traffic Models," Springer Books, in: Samer H. Hamdar (ed.), Traffic and Granular Flow '17, pages 45-52, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-11440-4_6
    DOI: 10.1007/978-3-030-11440-4_6
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