Stochastic Mean-Excess User Equilibrium Model with Multiple Classes and Elastic Demand

In order to accurately describe travelers' route choice behaviors for avoiding risks caused by uncertainties about travel time in a stochastic road network, the calculation formula of mean-excess travel time was derived for conditions when the traffic demand of commuters follows a log-normal distribution and the link capacity follows a Beta distribution, and a stochastic mean-excess user equilibrium model with multiple classes and elastic demand was built and formulated as an equivalent variational inequality. In the model, travelers' perception errors on travel time and the effects on traffic demand caused by the road network service level were taken into account. The results show that, as the demand variation level and degradation degree of link capacity increase, when the ratio of variance to mean increases from 0.5 to 2.0 and the parameters (l, m) of Beta distribution change from (90,10) to (10,10), the average minimum perceived mean-excess travel time increases 48.5% for commuters and 99.2% for non-commuters.