A Variational Inequality Formulation for the Reliability-Based Stochastic User Equilibrium Problem for Congested Transit Networks

抄録

Literature has shown that some passengers are risk-averse for selecting transit routes. However, this realistic behaviour has not been captured in existing transit assignment models. This paper addresses this issue and proposes a Variational Inequality (VI) model for congested stochastic transit assignment with elastic demand. The VI model considers capacity, waiting time and in-vehicle travel time as stochastic variables, and includes Spiess and Florian's (1989) and De Cea and Fernadez's (1993) models as special cases. A reliability-based stochastic user equilibrium condition is defined to predict the patronage of each transit line. To illustrate the properties of the VI model, numerical studies are set up using De Cea and Fernadez's network. The studies also show that Spiess and Florian's and De Cea and Fernadez's models can underestimate the system performance substantially.