In order to obtain a solution to the above problem, Beckmann, McGuire, and Winsten
(1956) established that the solution to the network equilibrium problem, in the case of user
link cost functions of the form (3), in which the cost on a link only depends on the flow on
that link and is assumed to be continuous and an increasing function of the flow, could be
obtained by solving the following optimization problem:
In order to obtain a solution to the above problem, Beckmann, McGuire, and Winsten(1956) established that the solution to the network equilibrium problem, in the case of userlink cost functions of the form (3), in which the cost on a link only depends on the flow onthat link and is assumed to be continuous and an increasing function of the flow, could beobtained by solving the following optimization problem:
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