Calculation for Robust Traffic Network Equilibrium Problems with Capacity Constraints of Arcs
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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