Introduction to Projected Dynamical Systems for Traffic Network Equilibrium Problems

Abstract

It is now well-known that a plethora of equilibrium problems, notably, network equilibrium problems, can be uniformly formulated and studied as finite-dimensional variational inequality problems. Indeed, it was precisely the traffic network equilibrium problem, as stated by Smith (1979), and identified by Dafermos (1980) to be a variational inequality problem, that gave birth to the ensuing research activity in variational inequality theory and applications in transportation science, regional science, operations research, and, more recently, in economics.