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The paper deals with deterministic and stochastic user equilibrium (DUE and SUE respectively) well known problems in the transportation field. In order to solve these problems a modified version of the ant colony system is proposed. The ant colony heuristic is adapted in order to take into account all aspects characterizing the transportation problem: multiple ODs (Origin-Destination), link congestion, non-separable cost link functions, elasticity of demand, multi classes in demand and different user cost models including stochastic cost perception. Applications to four different networks are finally reported.
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