This paper develops a general framework for analysing and calculating dynamic road pricing strategy. The optimal network flow is first determined by solving an optimal control problem with state-dependent responses such that the total travellers' surplus of the network system is maximized. An optional time-varying toll is then sought to decentralise this optimal network flow. This control theoretic formulation can work with a range of travel time models and travel cost functions. The deterministic queuing model is predominantly used in dynamic network models. The analysis in this paper is more general and is applied to calculate the optimal flow and toll for Friesz's whole link traffic model. Numerical examples are provided for illustration and discussion.(A) Reprinted with permission from Elsevier. For the covering abstract see ITRD E134766.
Samenvatting