Properties of the iterative optimization-equilibrium algorithm

Terry L. Friesz · Patrick T. Harker

38 citations0/0 files storedCivil Engineering Systems

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Transportation Planning and Optimization Traffic control and management Game Theory and Applications

Abstract

This paper shows that the iterative optimization-equilibrium algorithm used to solve the continuous network design problem does not solve the original Abdulaal-LeBlanc normative network design model, but rather is an exact and efficient solution procedure for a descriptive model in which the planner and the network users compete in a Cournot-Nash setting. The existence of a solution to this descriptive model is proved, numerical results which illustrate convergence and efficiency of the algorithm are given, and suggestions for future research are made.

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References

1956Studies in the Economics of Transportation.1979The existence, uniqueness and stability of traffic equilibria 1975An efficient approach to solving the road network equilibrium traffic assignment problem 1978Oligopoly and the Theory of Games.1975An Algorithm for the Discrete Network Design Problem 1979Continuous equilibrium network design models 1970Braess's paradox of traffic flow 1974SOME POSSIBILITIES FOR USING TRAFFIC CONTROL TO INFLUENCE TRIP DISTRIBUTION AND ROUTE CHOICE

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