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We describe how primal-dual version of Nesterov's Universal Method (with oneprojection) can be applied to solve the dual problem for the problem ofsearching equilibrium traffic flow distribution in transport networks(BMW-model, Stable Dynamic model). We observe that although the dual problemisn't smooth Universal Methods works as it is Mirror Prox method and weconsider saddle-point type problem.

Universal similar triangulars method for searching equilibriums in traffic flow distribution models