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

By R.D. Connors, A. Sumalee and D.P. Watling

Abstract

This paper presents a formulation of the multiple user class, variable demand, probit stochastic user equilibrium model. Sufficient conditions are stated for differentiability of the equilibrium flows of this model. This justifies the derivation of sensitivity expressions for the equilibrium flows, which are presented in a format that can be implemented in commercially available software. A numerical example verifies the sensitivity expressions, and that this formulation is applicable to large networks

Publisher: Elsevier Science
Year: 2007
OAI identifier: oai:eprints.whiterose.ac.uk:2480

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