A toll pricing framework for traffic assignment problems with elastic demand
Hearn, Donald W.
Yildirim, Mehmet Bayram
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Hearn, D.W., and Yildirim, B.M. 2001. "A toll pricing framework for traffic assignment problems with elastic demand." In Gendreau, M., and Marcotte, P. (eds), Transportation and Network Analysis: Current Trends, pp. 135-145.
This paper extends the notion of toll pricing and the toll pricing framework previously developed for fixed demand traffic assignment [4, 13] to the problem with elastic demand. The system problem maximizes net benefit to the network users [9, 20] and the user problem is the usual one of finding equilibrium with elastic demand. We define and characterize T , the set of all tolls for the user problem that achieve the system optimal solution. When solutions to the two problems are unique, T is a polyhedron defined by the optimal solution of the system problem, similar to the case in [4, 13]. The Toll Pricing Framework in  is also extended to allow optimization of secondary criteria over T . Examples include minimizing the number of toll booths and minimizing the maximum toll on any link. A numerical example illustrates the results.
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