Sensitivity Analysis of the Variable Demand Probit Stochastic User Equilibrium with Multiple User-Classes

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.

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Availability:
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Supplemental Notes:
- Abstract reprinted with permission from Elsevier
Authors:
- Connors, Richard D
- Sumalee, Agachai
- Watling, David Paul
Publication Date: 2007-7

Language

English

Media Info

Media Type: Print
Features: Figures; References; Tables;
Pagination: pp 593-615
Serial:
- Transportation Research Part B: Methodological
- Volume: 41
- Issue Number: 6
- Publisher: Elsevier
- ISSN: 0191-2615
- Serial URL: http://www.sciencedirect.com/science/journal/01912615

Subject/Index Terms

TRT Terms: Mathematical models; Multivariate analysis; Numerical analysis; Probits; Problem solving; Sensitivity analysis; Stochastic processes; Tolls; Travelers
Uncontrolled Terms: Network design problem; Transportation networks
Subject Areas: Data and Information Technology; Highways; Planning and Forecasting; Society; I72: Traffic and Transport Planning;

Filing Info

Accession Number: 01051748
Record Type: Publication
Files: TRIS
Created Date: Jun 6 2007 11:42AM