Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/31976
Title: Sensitivity analysis of the variable demand probit stochastic user equilibrium with multiple user-classes
Authors: Connors, RD
Sumalee, A
Watling, DP
Keywords: Sensitivity analysis
Probit stochastic user equilibrium
Network design problem
Optimal toll
Issue Date: 2007
Publisher: Pergamon Press
Source: Transportation research. Part B, Methodological, 2007, v. 41, no. 6, p. 593-615 How to cite?
Journal: Transportation research. Part B, Methodological 
Abstract: This 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.
URI: http://hdl.handle.net/10397/31976
ISSN: 0191-2615
EISSN: 1879-2367
DOI: 10.1016/j.trb.2006.11.003
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