Gabriel, S.A. and D. Bernstein. (1997). "The Traffic Equilibrium Problem with Nonadditive Costs." Transportation Science 31, 337--348. Home/Search Document Details and Download
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Solving the Nonadditive Traffic Equilibrium Problem - Bernstein, Gabriel (1986) Self-citation (Gabriel Bernstein) (Correct)
....approach, the path costs faced by users of the traffic network are simply the sum of the arc costs for all the arcs on the path in question. While this modeling assumption is computationally attractive, it is not appropriate in a variety of realistic and important situations. Gabriel and Bernstein [8] provide several examples in which nonadditivity is more appropriate, including nonlinear valuations of travel time, tolls fares and a variety of pricing policies (such as congestion pricing and emissions fees) that the additive formulation cannot handle. In [8] Gabriel and Bernstein have ....
....situations. Gabriel and Bernstein [8] provide several examples in which nonadditivity is more appropriate, including nonlinear valuations of travel time, tolls fares and a variety of pricing policies (such as congestion pricing and emissions fees) that the additive formulation cannot handle. In [8], Gabriel and Bernstein have described a more general nonadditive formulation which is relevant for many applications and includes the additive model as a special case. They have also established existence and uniqueness conditions as well as convergence results for a generic nonlinear ....
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S. A. Gabriel and D. H. Bernstein, "The Traffic Equilibrium Problem with Nonadditive Path Costs," Statistics and Operations Research Series, SOR-96-13, Princeton University (1996).
Equilibrium, Games, and Pricing in Transportation and.. - Altman, Wynter (2002) (Correct)
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Gabriel, S.A. and D. Bernstein. (1997). "The Traffic Equilibrium Problem with Nonadditive Costs." Transportation Science 31, 337--348.
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