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While motion planning approaches for automated driving often focus on safety and mathematical optimality with respect to technical parameters, they barely consider convenience, perceived safety for the passenger and comprehensibility for…

Robotics · Computer Science 2019-05-14 Maximilian Naumann , Martin Lauer , Christoph Stiller

Conventional Public Transport (PT) cannot support the mobility needs in weak demand areas. Such areas could be better served by integrating, within PT, Demand-Responsive Transport (DRT), in which bus routes dynamically adapt to user demand.…

Physics and Society · Physics 2025-01-06 Pierfrancesco Leonardi , Vincenza Torrisi , Andrea Araldo , Matteo Ignaccolo

We consider a network equilibrium model (i.e. a combined model), which was proposed as an alternative to the classic four-step approach for travel forecasting in transportation networks. This model can be formulated as a convex minimization…

The quest for optimal/stable paths in graphs has gained attention in a few practical or theoretical areas. To take part in this quest this chapter adopts an equilibrium-oriented approach that is abstract and general: it works with…

Computer Science and Game Theory · Computer Science 2007-12-11 Stéphane Le Roux

Given a network with a continuum of users at some origins, suppose that the users wish to reach specific destinations, but that they are not indifferent to the time needed to reach their destination. They may have several possibilities (of…

Computer Science and Game Theory · Computer Science 2008-10-15 Frédéric Meunier , Nicolas Wagner

We propose a generalized market equilibrium model using assignment game criteria for evaluating transportation systems that consist of both operators' and users' decisions. The model finds stable pricing, in terms of generalized costs, and…

Computational Engineering, Finance, and Science · Computer Science 2020-08-14 Saeid Rasulkhani , Joseph Y. J. Chow

We initiate the study of dynamic traffic assignment for electrical vehicles addressing the specific challenges such as range limitations and the possibility of battery recharge at predefined charging locations. We pose the dynamic…

Computer Science and Game Theory · Computer Science 2022-07-12 Lukas Graf , Tobias Harks , Prashant Palkar

Computer-based simulation of pedestrian dynamics reached meaningful results in the last decade, thanks to empirical evidences and acquired knowledge fitting fundamental diagram constraints and space utilization. Moreover, computational…

Multiagent Systems · Computer Science 2016-10-26 Luca Crociani , Daichi Yanagisawa , Giuseppe Vizzari , Katsuhiro Nishinari , Stefania Bandini

A methodology is proposed for freight traffic assignment in large-scale road-rail intermodal networks. To obtain the user-equilibrium freight flows, a path-based assignment algorithm (gradient projection) was proposed. The developed…

Optimization and Control · Mathematics 2024-02-05 Majbah Uddin , Nathan Huynh

This contribution proposes a method to make agents in a microscopic simulation of pedestrian traffic walk approximately along a path of estimated minimal remaining travel time to their destination. Usually models of pedestrian dynamics are…

Physics and Society · Physics 2014-07-15 Tobias Kretz , Andree Grosse , Stefan Hengst , Lukas Kautzsch , Andrej Pohlmann , Peter Vortisch

In crowd scenarios, predicting trajectories of pedestrians is a complex and challenging task depending on many external factors. The topology of the scene and the interactions between the pedestrians are just some of them. Due to…

Machine Learning · Computer Science 2022-09-12 Raphael Korbmacher , Antoine Tordeux

Optimizing paths on networks is crucial for many applications, from subway traffic to Internet communication. As global path optimization that takes account of all path-choices simultaneously is computationally hard, most existing routing…

Physics and Society · Physics 2013-09-05 Chi Ho Yeung , David Saad , K. Y. Michael Wong

In urban cities, with increasing acceptability of shared spaces used by pedestrians and personal mobility devices (PMDs), there is need for pragmatic socially ac-ceptable path planning and navigation management policies. Hence, we propose a…

Robotics · Computer Science 2021-12-08 Sumit Mishra , Praveen Kumar Rajendran , Dongsoo Har

Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of…

Dynamical Systems · Mathematics 2015-03-17 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

Platooning of vehicles is a promising approach for reducing fuel consumption, increasing vehicle safety, and using road space more efficiently. We consider the important but difficult problem of assigning optimal routes and departure…

Optimization and Control · Mathematics 2021-08-19 Fengqiao Luo , Jeffrey Larson

In this work, the demand Adjustment Problem (DAP) associated to urban traffic planning is studied. The framework for the formulation of the DAP is mathematical programming with equilibrium constraints. In particular, if the optimization…

Optimization and Control · Mathematics 2018-07-04 Jorgelina Walpen , Elina M. Mancinelli , Pablo A. Lotito , Lisandro A. Parente

We study a dynamic traffic assignment model, where agents base their instantaneous routing decisions on real-time delay predictions. We formulate a mathematically concise model and define dynamic prediction equilibrium (DPE) in which no…

Computer Science and Game Theory · Computer Science 2024-09-20 Lukas Graf , Tobias Harks , Kostas Kollias , Michael Markl

Quantitatively modeling the trajectories and behavior of pedestrians walking in crowds is an outstanding fundamental challenge deeply connected with the physics of flowing active matter, from a scientific point of view, and having societal…

Physics and Society · Physics 2020-11-05 Alessandro Corbetta , Lars Schilders , Federico Toschi

Traffic navigation services have gained widespread adoption in recent years. The route recommendations generated by these services often leads to severe congestion on urban streets, raising concerns from neighboring residents and city…

Systems and Control · Electrical Eng. & Systems 2019-08-21 Manxi Wu , Saurabh Amin

The deployment of Autonomous Vehicles (AVs) poses considerable challenges and unique opportunities for the design and management of future urban road infrastructure. In light of this disruptive transformation, the Right-Of-Way (ROW)…

Machine Learning · Computer Science 2023-03-23 Qiming Ye , Yuxiang Feng , Jose Javier Escribano Macias , Marc Stettler , Panagiotis Angeloudis