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The aim of this paper is to design and prove new link travel time functions (TTF), which are combinations of known delay functions. The proposed TTF are useful for modeling two types of arc: light signalized arcs and limited access arcs. These TTF are used for formulating and solving the User Equilibrium Assignment (UEA) problem by means the Frank-Wolfe algorithm, obtaining more accurate results. The process for solving the UEA problem was improved because usually it is solved for only one travel time function or by flow-speed curves, or without considering overflow periods. An application on a Mexico City sub-network is presented

Suitable Cost Functions for Signalized Arterials and Freeways, in the User Equilibrium Assignment Problem