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The existence and calculation of traffic equilibria

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Author Info
Smith, M. J.
Abstract

The paper considers the assignment problem when there are junction interactions. We give an objective function which measures the extent to which a traffic distribution departs from equilibrium, and an algorithm which (under certain conditions) calculates equilibria by steadily reducing the objective function to zero. It is shown that the algorithm certainly works if the network cost-flow function is monotone and continuously differentiable, and a boundary condition is satisfied.

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Article provided by Elsevier in its journal Transportation Research Part B: Methodological.

Volume (Year): 17 (1983)
Issue (Month): 4 (August)
Pages: 291-303
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Handle: RePEc:eee:transb:v:17:y:1983:i:4:p:291-303

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  1. David Levinson & Ajay Kumar, 1994. "Integrating Feedback into the Transportation Planning Mode," Working Papers 199404, University of Minnesota: Nexus Research Group. [Downloadable!]
  2. Richard Arnott & Marvin Kraus, 1994. "The Ramsey Problem for Congestible Facilities," NBER Technical Working Papers 0084, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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