AbstractThis paper presents a formulation of the multiple user class, variable demand, probit stochastic user equilibrium model (SUE). Sufficient conditions are stated for differentiability of the equilibrium flows of this model. This justifies the derivation of sensitivity expressions for the equilibrium flows. This paper then considers the network design problem (NDP), assuming that users’ responses to changes in the design variables follow the probit SUE. With probit SUE stated as a fixed-point condition, the NDP is a mathematical program with equilibrium constraints (MPEC). The probit SUE sensitivity expressions provide the information necessary to adopt a gradient-based approach to solving the probit SUE NDP. Numerical examples verify the sensitivity expressions, and the NDP solution.


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    Title :

    Sensitivity analysis of the variable demand probit stochastic user equilibrium with multiple user-classes


    Contributors:

    Published in:

    Publication date :

    2006-11-13


    Size :

    23 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English








    STOCHASTIC USER EQUILIBRIUM (SUE) WITH VARIABLE DEMAND

    Kim, K. S. / Maher, M. J. / World Conference on Transport Research Society | British Library Conference Proceedings | 2003