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

Connors, R.D., Sumalee, A. and Watling, D.P. (2007) Sensitivity analysis of the variable demand probit stochastic user equilibrium with multiple user classes. Transportation Research B, 41 (6). pp. 593-615. ISSN 0191-2615

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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.

Item Type: Article
Copyright, Publisher and Additional Information: © 2007 Elsevier B.V. This is an author produced version of a paper published in Transportation Research B. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: Sensitivity Analysis, Probit Stochastic User Equilibrium
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Environment (Leeds) > Institute for Transport Studies (Leeds)
Depositing User: Adrian May
Date Deposited: 03 Aug 2007
Last Modified: 22 Jul 2014 16:36
Published Version: http://www.sciencedirect.com/science/journal/01912...
Status: Published
Publisher: Elsevier Science
Refereed: Yes
Identification Number: 10.1016/j.trb.2006.11.003
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/2480

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