Consider a city with several facilities competing for multi-class users that are distributed continuously over space. Within the city region, the road network is relatively dense and is considered as a continuum. The demand distribution function is formulated as a logit-type function for modeling the probabilistic choice behavior of facilities for different classes of users. A minimization problem that describes this multi-class and multi-facility choice is set up for finding the user equilibrium flow pattern. This paper aims to study the existence and uniqueness of a solution of this multi-class and multi-facility user equilibrium problem with demand distribution. The assumptions and conditions for the existence and uniqueness of solution are given.


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    Title :

    EXISTENCE AND UNIQUENESS OF A SOLUTION FOR THE MULTI-CLASS USER EQUILIBRIUM PROBLEM IN A CONTINUUM TRANSPORTATION SYSTEM


    Contributors:
    Ho, H. W. (author) / Wong, S. C. (author) / Hau, Timothy D. (author)

    Published in:

    Transportmetrica ; 3 , 2 ; 107-117


    Publication date :

    2007-01-01


    Size :

    11 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    Unknown