A New General Equilibrium Model

  • Yanling Xiang
  • Michael J. Smith
  • Miles Logie
Part of the Applied Optimization book series (APOP, volume 64)


In this paper we present a new general equilibrium model appropriate for multimodal networks. A solution of the model gives the equilibrium distribution of travellers and vehicles over a transportation network. The model is expressed in terms of inverse cost-flow functions; and delays are explicitly modelled. The paper outlines an equilibration algorithm and convergence results for a small network are provided. The equilibrium model has been designed in such a way that optimisation procedures may naturally be added to the equilibration algorithm.

Key words

Equilibrium assignment multicopy network bottleneck delay monotone cost functions 


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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Yanling Xiang
  • Michael J. Smith
    • 1
  • Miles Logie
    • 2
  1. 1.York Network Control Group Mathematics DepartmentYork UniversityYorkUK
  2. 2.MVA HouseMVA LimitedWokingUK

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