Journal
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL
Volume 41, Issue 6, Pages 593-615Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.trb.2006.11.003
Keywords
sensitivity analysis; probit stochastic user equilibrium; network design problem; optimal toll
Ask authors/readers for more resources
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. (c) 2006 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available