A Computable Theory of Dynamic Congestion Pricing
Document Type
Article
Publication Date
2007
Keywords
dynamic congestion pricing, dynamic user equilibrium, differential variational in-equality, optimal control
Abstract
In this paper we present a theory of dynamic congestion pricing for the day-to-day as well as the within-day time scales. The equilibrium design problem emphasized herein takes the form of an MPEC, which we call the Dynamic Optimal Toll Problem with Equilibrium Constraints, or DOTPEC. The DOPTEC formulation we employ recalls an important earlier result that allows the equilibrium design problem to be stated as a single level problem, a result which is surprisingly little known. The DOPTEC maintains the usual design objective of minimizing the system travel cost by appropriate toll pricing. We describe how an infnite dimensional mathematical programming perspective may be employed to create an algorithm for the DOTPEC. A numerical example is provided.
Was this content written or created while at USF?
No
Citation / Publisher Attribution
A Computable Theory of Dynamic Congestion Pricing, in R.E. Allsop, M.G.H. Bell & G.H. Benjamin, Transportation and Traffic Theory 2007, p. 1-26
Scholar Commons Citation
Friesz, Terry L.; Kwon, Changhyun; and Mookherjee, Reetabrata, "A Computable Theory of Dynamic Congestion Pricing" (2007). Industrial and Management Systems Engineering Faculty Publications. 16.
https://digitalcommons.usf.edu/egs_facpub/16
