Computational precision of traffic equilibria sensitivities in automatic network design and road pricing
Journal article, 2013

Recent studies demonstrate the importance of computational precision of user equilibrium traffic assignment solutions for scenario comparisons. When traffic assignment is hierarchically embedded in a model for network design and/or road pricing, not only the precision of the solution itself becomes more important, but also the precision of its derivatives with respect to the design parameters should be considered. The main purpose of this paper is to present a method for precise computations of equilibrium derivatives. Numerical experiments are used for two evaluations: (1) precision of computed equilibrium derivatives for a medium-size network (Anaheim); and (2) the impact of precise derivatives on capacity-expansion solution quality for a small network (Sioux Falls).


Computational precision

Traffic equilibria


Hillel Bar-Gera

Ben-Gurion University of the Negev

F. Hellman

Uppsala University

Michael Patriksson

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Transportation Research Part B: Methodological

0191-2615 (ISSN)

Vol. 57 485-500

Driving Forces

Sustainable development

Areas of Advance


Subject Categories

Computational Mathematics

Transport Systems and Logistics


Basic sciences



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