AbstractThis 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.
Sensitivity analysis of the variable demand probit stochastic user equilibrium with multiple user-classes
Transportation Research Part B: Methodological ; 41 , 6 ; 593-615
2006-11-13
23 pages
Article (Journal)
Electronic Resource
English
Sensitivity analysis of the probit-based stochastic user equilibrium assignment model
Online Contents | 2002
|A probit-based stochastic user equilibrium assignment model
Online Contents | 1997
|British Library Conference Proceedings | 2002
|STOCHASTIC USER EQUILIBRIUM (SUE) WITH VARIABLE DEMAND
British Library Conference Proceedings | 2003
|