Multiple Equilibrium Behaviors on Networks

Models of traffic networks typically assume that the consumers of the transportation service either behave in a totally noncooperative (user equilibrium) or cooperative (system equilibrium) manner. This note presents a model in which each origin-destination pair can obey either behavioral principal. After discussing the issues of existence and uniqueness and the model's applicability to freight and urban transportation applications, it is shown how variational inequality methods can be employed to solve this new model. A small example is then used to illustrate the features of a multiple behavior traffic network equilibrium.