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Departure time choice equilibrium and optimal transport problems

Author

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  • Akamatsu, Takashi
  • Wada, Kentaro
  • Iryo, Takamasa
  • Hayashi, Shunsuke

Abstract

This paper presents a systematic approach for analyzing the departure-time choice equilibrium (DTCE) problem of a single bottleneck with heterogeneous commuters. The approach is based on the fact that the DTCE is equivalently represented as a linear programming problem with a special structure, which can be analytically solved by exploiting the theory of optimal transport combined with a decomposition technique. By applying the proposed approach to several types of models with heterogeneous commuters, it is shown that the dynamic equilibrium distribution of departure times exhibits striking regularities under mild assumptions regarding schedule delay functions, in which commuters sort themselves according to their attributes, such as desired arrival times, schedule delay functions (value of times), and travel distances to a destination.

Suggested Citation

  • Akamatsu, Takashi & Wada, Kentaro & Iryo, Takamasa & Hayashi, Shunsuke, 2018. "Departure time choice equilibrium and optimal transport problems," MPRA Paper 90361, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:90361
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    References listed on IDEAS

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    Cited by:

    1. R. Lamotte & A. de Palma & N. Geroliminis, 2020. "Impacts of Metering-Based Dynamic Priority Schemes," THEMA Working Papers 2020-14, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.

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    More about this item

    Keywords

    departure time choice equilibrium; linear programming; optimal transport; sorting;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • R41 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Transportation: Demand, Supply, and Congestion; Travel Time; Safety and Accidents; Transportation Noise

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