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Bicriterion Traffic Assignment: Basic Theory and Elementary Algorithms

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  • Robert B. Dial

    (Volpe National Transportation Systems Center (DTS-49), Kendall Square, Cambridge, Massachusetts 02142)

Abstract

This paper describes a bicriterion equilibrium traffic assignment model that accurately forecasts path choices and consequent total arc flows for a stochastically diverse set of trips. Called T2, its develops around a linear generalized cost model, which generalizes classical traffic assignment by relaxing the value-of-time parameter from a constant to a random variable with an arbitrary probability distribution. For the case where arc time and/or cost are flow dependent, this paper formulates conditions and algorithms for stochastic bicriterion user-optimal equilibrium arc flows, which reflect every trip's exclusive use of a path that minimizes its particular perception of generalized cost.

Suggested Citation

  • Robert B. Dial, 1996. "Bicriterion Traffic Assignment: Basic Theory and Elementary Algorithms," Transportation Science, INFORMS, vol. 30(2), pages 93-111, May.
    • Handle: RePEc:inm:ortrsc:v:30:y:1996:i:2:p:93-111
    DOI: 10.1287/trsc.30.2.93
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