A REDUCTION METHOD FOR LOCAL SENSITIVITY ANALYSES OF NETWORK EQUILIBRIUM ARC FLOWS

In this article, a reduction method is proposed which allows standard sensitivity techniques for variational inequalities to be applied to equilibrium network flow problems without additional assumptions on either the underlying network or the numbers of active paths. In particular, it is shown that under mild regularity conditions, small perturbations of equilibria can be given an explicit arc-flow representation which is free of path-flow variables. It is also shown that this reduced form allows the differentiability of perturbations to be studied by standard methods. These results are illustrated by a small numerical example.

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  • Corporate Authors:

    Elsevier

    The Boulevard, Langford Lane
    Kidlington, Oxford  United Kingdom  OX5 1GB
  • Authors:
    • CHO, H-J
    • Smith, T E
    • Friesz, T L
  • Publication Date: 2000-1

Language

  • English

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Filing Info

  • Accession Number: 00780047
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Dec 13 1999 12:00AM