Equilibrium trip scheduling in single bottleneck traffic flows considering multi class travellers and uncertainty a complementarity formulation
In this paper, we consider the equilibrium trip scheduling in single bottleneck traffic flows under uncertainty with multi class travellers. Travel time uncertainty is considered explicitly in the scheduling model, and heterogeneity parameters are assumed to describe the multi class users. We will present a model applying nonlinear complementarity system approach to formulate and solve the equilibrium trip scheduling problem with multi class commuters considering travel time uncertainty. The paper presents theoretical proofs for solution existence, and numerical results are conducted to show the model validity.