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The Traffic Equilibrium Problem with Nonadditive Path Costs

Author

Listed:
  • Steven A. Gabriel

    (ICF Kaiser International, Inc., 9300 Lee Highway, Fairfax, Virginia 22031-1207)

  • David Bernstein

    (Department of Civil Engineering and Operations Research, Princeton University, Princeton, New Jersey 08544)

Abstract

In this paper we present a version of the (static) traffic equilibrium problem in which the cost incurred on each path is not simply the sum of the costs on the arcs that constitute that path. We motivate this nonadditive version of the problem by describing several situations in which the classic additivity assumption fails. We describe existence and uniqueness conditions for this problem, and we also present convergence theory for ageneric algorithm for solving nonadditive problems.

Suggested Citation

  • Steven A. Gabriel & David Bernstein, 1997. "The Traffic Equilibrium Problem with Nonadditive Path Costs," Transportation Science, INFORMS, vol. 31(4), pages 337-348, November.
    • Handle: RePEc:inm:ortrsc:v:31:y:1997:i:4:p:337-348
    DOI: 10.1287/trsc.31.4.337
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