Abstract
In this study, equilibrium assignment models under variable demand considering travel time reliability are proposed. These models are developed based on the system optimal and the user equilibrium principles with the constraints on the travel time reliability. Since these models can be formulated as the problems that have the same mathematical structure as the standard equilibrium assignment models under variable demand, one can apply these models to a large-scaled traffic network. Numerical experiment is carried out for examining the validity of the propo sed models.