Bicriterion Traffic Assignment: Basic Theory and Elementary Algorithms

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Abstract
This paper describes a bicriterion equilibrium traffic assignment model that accurately forecasts path choices and consequent total are 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 are time and/or cost are flow dependent, this paper formulates conditions and algorithms for stochastic bicriterion user-optimal equilibrium are flows, which reflect every trip's exclusive use of a path that minimizes its particular perception, of generalized cost.

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