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Distributionally Robust Markovian Traffic Equilibrium

Author

Listed:
  • Selin Damla Ahipaşaoğlu

    (Engineering Systems and Design, Singapore University of Technology and Design, Singapore 487372)

  • Uğur Arıkan

    (Engineering Systems and Design, Singapore University of Technology and Design, Singapore 487372)

  • Karthik Natarajan

    (Engineering Systems and Design, Singapore University of Technology and Design, Singapore 487372)

Abstract

In a Markovian traffic equilibrium model, users move toward their destinations by a sequence of successive link choices using a discrete choice model at each node, taking congestion into account. Although a convex optimization formulation is available to compute the equilibrium flows for a continuous distribution of link utilities, practical applications have thus far been mainly restricted to the multinomial logit model and its variants. In this paper, we relax the assumption of a complete joint distribution of link utilities to only knowledge on the marginal distributions and propose a new convex optimization formulation for a distributionally robust Markovian traffic equilibrium. The formulation is provably efficiently solvable and has the flexibility of allowing for general marginal distributions, thus capturing different types of nonidentical, skewed, and heavy-tailed distributions at the link level.

Suggested Citation

  • Selin Damla Ahipaşaoğlu & Uğur Arıkan & Karthik Natarajan, 2019. "Distributionally Robust Markovian Traffic Equilibrium," Transportation Science, INFORMS, vol. 53(6), pages 1546-1562, November.
    • Handle: RePEc:inm:ortrsc:v:53:y:2019:i:6:p:1546-1562
    DOI: 10.1287/trsc.2019.0910
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    References listed on IDEAS

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