Models and Solution Algorithms for Asymmetric Traffic and Transit Assignment Problems

Abstract

Generally, modeling is a simplified representation of the real world; however, this research adds value to the modeling practice by investigating the asymmetric interactions observed in the real world in order to explore potential improvements of the transportation modeling. The enhanced representation of the transportation system by the asymmetric transportation equilibrium problem is promising because there are various asymmetric interactions in real transportation such as intersections, highway ramps, toll roads and in the structure of the transit fares. The dissertation considers the asymmetric interactions of flows in the traffic and transit assignment problems with an efficient solution algorithm. The study begins with characterizing the asymmetrically formulated equilibrium problem in terms of the convergence, and the computational efficiencies followed by demonstrating the enhanced modeling of the real-world transportation problems with asymmetric interactions in a public transportation system