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:
- Find a library where document is available. Order URL: http://worldcat.org/issn/01912615
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Supplemental Notes:
- Abstract reprinted with permission from Elsevier
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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
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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