Highlights A departure-time choice equilibrium for discrete multiple bottlenecks is analyzed. A transparent approach to the analysis of the equilibrium is presented. The equilibrium conditions are formulated in a Lagrangian-like coordinate system. Deep insights on mathematical structure and properties of the problem are obtained. Rigorous results on the existence and uniqueness of equilibria are established.

    Abstract This paper presents a transparent approach to the analysis of dynamic user equilibrium and clarifies the properties of a departure-time choice equilibrium of a corridor problem where discrete multiple bottlenecks exist along a freeway. The basis of our approach is the transformation of the formulation of equilibrium conditions in a conventional “Eulerian coordinate system” into one in a “Lagrangian-like coordinate system.” This enables us to evaluate dynamic travel times easily, and to achieve a deep understanding of the mathematical structure of the problem, in particular, about the properties of the demand and supply (queuing) sub-models, relations with dynamic system optimal assignment, and differences between the morning and evening rush problems. Building on these foundations, we establish rigorous results on the existence and uniqueness of equilibria.


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    Titel :

    The corridor problem with discrete multiple bottlenecks


    Beteiligte:


    Erscheinungsdatum :

    2015-07-21


    Format / Umfang :

    22 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




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