In this paper,a traffic network equilibrium problem with uncertain cost functions and arc capacity constraints is studied.This paper adopts the ReLU func-tion and the vector version of Heaviside function to construct two optimal problems that their solutions are equivalent to weak vector equilibrium flows and vector equi-librium flows,respectively.Then,the objective functions are smoothed by using Moreau proximal smoothing technique.In addition,the concept of robust vector equilibrium flows is introduced,and an equivalent optimization problem is also es-tablished.Simultaneously,a smoothing algorithm is proposed.Finally,compared with other state-of-the-art algorithms,the advantages of the computational speed and obtaining more robust vector equilibrium flows for our algorithm are illustrated by numerical examples.
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