METROPOLIS proposes an interactive environment which simulates automobile traffic in large urban areas. The core of the system is a dynamic simulator ehich integrates commuters' departure time and route choice behavirs over large networks: Drivers are assumed to minimize a generalized travel...

In this paper we study the concepts of equilibrium and optimum in static transportation networks with elastic and non-elastic demands. The main mathematical tool of our paper is the theory of variational inequalities. We demonstrate that this theory is useful for proving the existence theorems....

We present a new class of transportation systems, the stable dynamics models, which provides a natural link between the static and dynamic traffic network models. They can be seen as steady states of dynamic networks (flows are constant in time). These models turn out to be very easy to study...

In this paper we develop a new theory of static equilibrium in congested transportation networks. Our considerations are based on a physical meaning of the flows rather than on an artificially chosen model of travel time functionsl We introduce a concept of the stable equilibrium and prove the...