A theory of dynamic congestion pricing for the day-to-day as well as the within-day time scales is presented. The equilibrium design problem emphasized herein takes the form of a mathematical program with equilibrium constraints (MEPC), which is called the Dynamic Optimal Toll Problem with Equilibrium Constants (DOTPEC). The DOTPEC formulation recalls an important earlier result that allow the equilibrium design problem to be stated as a single level problem. The DOTPEC maintains the usual design objective of minimising the system travel cost by appropriate toll pricing. It is described how an infinite dimensional mathematical programming perspective may beemployed to create an algorithm for the DOTPEC. A numerical example is provided. For the covering abstract see ITRD E144727. Reprinted with permission of Elsevier.
Abstract