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Zbl 0865.90040
Dial, Robert B.
Bicriterion traffic assignment: Basic theory and elementary algorithms.
(English)
[J] Transp. Sci. 30, No.2, 93-111 (1996). ISSN 0041-1655

Summary: 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, it 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.
MSC 2000:
*90B06 Transportation, logistics

Keywords: bicriterion equilibrium traffic assignment model

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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