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Multimodal urban transportation network equilibrium including intermodality and shared mobility services (2402.00735v4)

Published 1 Feb 2024 in math.OC

Abstract: Shared Mobility Services (SMSs) are reshaping urban transportation systems by providing flexible mobility options. With their ability to decrease the number of cars on the roads, these services can potentially improve the transportation system's performance in terms of travel times and emissions. This emphasizes the importance of analyzing and understanding their impacts on the system and users' choices, especially when integrated into a complex multi-modal system, including public transport (PT). Many studies overlook the synergies between SMSs and PT, leading to inaccurate traffic estimations and planning. This research offers an extensive review of multi-modal transportation system models involving SMSs. We then introduce a traffic assignment analytical model valid in both continuous and integer settings, leading to a Mixed-Integer Bilinear Programming (MIBLP) formulation. This model comprises diverse travel possibilities, including SMSs, and handles intermodality by allowing commuters to combine modes to optimize time and monetary expense. An in-depth examination of commuters' mode and path choices on two test cases and an analysis of the price of anarchy highlights the disparities between user equilibrium and system optimum in such intricate systems.

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