An Equilibrium Assignment Model Based on Simulated Delays

This paper presents an equilibrium assignment methodology that can obtain delay values from a simulation program. The proposed assignment procedure is compared with the Frank and Wolfe algorithm with fully specified volume-delay functions and with the method of successive averages (MSA) suggested by Sheffi to be used in stochastic assignment problems. Some results of the application of the proposed algorithm on a real network are given, and a proof of convergence for the simple case of a two-link network is provided.