Abstract
In this study, user equilibrium assignment models under stochastic demand and supply with perception error on route costs are proposed. The user equilibrium assignment models can be formulated as stochastic user equilibrium (SUE) if taking into account the perception error and deterministic user equilibrium (DUE) otherwise. Evaluation factors for route choice assumed in this study are mean of travel time and its standard deviation. If standard deviation is taken into account in DUE, corresponding user equilibrium model is formulated as a nonlinear complementary problem due to non additive route cost. Numerical experiments are carried out to examine the solutions from the user equilibrium models proposed in this study.