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Obtaining Network Cost(s) from One Link's Output

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  • Marguerite Frank

    (Rider College, Lawrenceville, New Jersey 08648 and Stanford University, Stanford, California 94305)

Abstract

Consider user-optimization on a directed network whose link costs remain unevaluated, but are assumed to be positive affine symmetric functions of link flows. We focus instead on the equilibrium output variations, locally, of one arbitrary link resulting from variations in either its intrinsic cost or in the demand of the Origin/Destination pair under consideration. With only this local information as output, our algorithm generates, for that particular O/D-pair, the user equilibrium cost as a complete (piecewise-linear) function of O/D-demand, from any one initiating segment: such a segment may be obtained by an independent decomposition procedure.

Suggested Citation

  • Marguerite Frank, 1992. "Obtaining Network Cost(s) from One Link's Output," Transportation Science, INFORMS, vol. 26(1), pages 27-35, February.
    • Handle: RePEc:inm:ortrsc:v:26:y:1992:i:1:p:27-35
    DOI: 10.1287/trsc.26.1.27
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