Abstract
In this paper, we introduce the multiclass trac equilibrium problem which includes the trac equilibrium problem as a special case, and extend Beckmann’s formula to the case of multiclass trac equilibrium problems. By an example, we illustrate the calculation process of the multiclass trac equilibrium ow using multiclass Beckmann’s formula and show that multiclass Beckmann’s formula is a sucient condition only for the multiclass trac equilibrium ow.
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