Beckmann, M.J., McGuire, C.B. and Winsten, C.B. (1956) Studies in the Economics of Transportation. Yale University Press, New Haven.

has been cited by the following article:

• TITLE: An Algorithm for Traffic Equilibrium Flow with Capacity Constraints of Arcs

  AUTHORS: Zhi Lin

  KEYWORDS: The Traffic Equilibrium Problem with Capacity Constraints of Arcs, Equilibrium Flow, Algorithm, Capacity of Arc, Saturated Path

  JOURNAL NAME: Journal of Transportation Technologies, Vol.5 No.4, October 22, 2015

  ABSTRACT: In the traffic equilibrium problem, we introduce capacity constraints of arcs, extend Beckmann’s formula to include these constraints, and give an algorithm for traffic equilibrium flows with capacity constraints on arcs. Using an example, we illustrate the application of the algorithm and show that Beckmann’s formula is a sufficient condition only, not a necessary condition, for traffic equilibrium with capacity constraints of arcs.