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A field deterministic model of the vehicular dynamics in a generic urban street canyon with two neighboring canyons is considered. The assumed hydrodynamical model of vehicular movement is coupled to the gasdynamical model of the air and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Maciej M. Duras

This paper proposes a method for modeling human driver interactions that relies on multi-output gaussian processes. The proposed method is developed as a refinement of the game theoretical hierarchical reasoning approach called "level-k…

Machine Learning · Computer Science 2022-01-06 Cem Okan Yaldiz , Yildiray Yildiz

This paper develops a full-state feedback controller that damps out oscillations in traffic density and traffic velocity whose dynamical behavior is governed by the linearized two-class Aw-Rascle (AR) model. Thereby, the traffic is…

Optimization and Control · Mathematics 2020-01-07 Mark Burkhardt , Huan Yu , Miroslav Krstic

Second order macroscopic traffic flow models are able to reproduce the so-called capacity drop effect, i.e., the phenomenon that the outflow of a congested region is substantially lower than the maximum achievable flow. Within this work, we…

Physics and Society · Physics 2021-06-29 Jennifer Weißen , Oliver Kolb , Simone Göttlich

We address the traffic light control problem for a single intersection by viewing it as a stochastic hybrid system and developing a Stochastic Flow Model (SFM) for it. We adopt a quasi-dynamic control policy based on partial state…

Systems and Control · Computer Science 2013-08-06 Yanfeng Geng , Christos G. Cassandras

Traffic regulation must be respected by all vehicles, either human- or computer- driven. However, extreme traffic situations might exhibit practical cases in which a vehicle should safely and reasonably relax traffic regulation, e.g., in…

Artificial Intelligence · Computer Science 2012-12-05 Philippe Morignot , Fawzi Nashashibi

We present a hierarchical control approach for maneuvering an autonomous vehicle (AV) in tightly-constrained environments where other moving AVs and/or human driven vehicles are present. A two-level hierarchy is proposed: a high-level…

Robotics · Computer Science 2021-03-19 Xu Shen , Edward L. Zhu , Yvonne R. Stürz , Francesco Borrelli

Applying reinforcement learning to autonomous driving entails particular challenges, primarily due to dynamically changing traffic flows. To address such challenges, it is necessary to quickly determine response strategies to the changing…

Robotics · Computer Science 2022-12-12 Se-Wook Yoo , Chan Kim , Jin-Woo Choi , Seong-Woo Kim , Seung-Woo Seo

In Part I of this paper series, several macroscopic traffic model elements for mathematically describing freeway networks equipped with managed lane facilities were proposed. These modeling techniques seek to capture at the macroscopic the…

Systems and Control · Electrical Eng. & Systems 2019-08-28 Matthew A. Wright , Roberto Horowitz , Alex A. Kurzhanskiy

General first-order methods (GFOM) are a flexible class of iterative algorithms which update a state vector by matrix-vector multiplications and entrywise nonlinearities. A long line of work has sought to understand the large-n dynamics of…

Probability · Mathematics 2026-04-14 Nicola Gorini , Chris Jones , Dmitriy Kunisky , Lucas Pesenti

Expert human drivers perform actions relying on traffic laws and their previous experience. While traffic laws are easily embedded into an artificial brain, modeling human complex behaviors which come from past experience is a more…

Multiagent Systems · Computer Science 2019-03-05 Giulio Bacchiani , Daniele Molinari , Marco Patander

This paper presents a new approach to the modeling of vehicular traffic flows on road networks based on kinetic equations. While in the literature the problem has been extensively studied by means of macroscopic hydrodynamic models, to date…

Physics and Society · Physics 2014-11-12 Luisa Fermo , Andrea Tosin

Understanding driver interactions is critical to designing autonomous vehicles to interoperate safely with human-driven cars. We consider the impact of these interactions on the policies drivers employ when navigating unsigned intersections…

Systems and Control · Electrical Eng. & Systems 2025-12-11 Rachel DiPirro , Rosalyn Devonport , Dan Calderone , Chishang "Mario'' Yang , Wendy Ju , Meeko Oishi

Traffic waves can rise even from single lane car-following behaviour. To better understand and mitigate traffic waves, it is necessary to use analytical tools like mathematical models, data analysis, and micro-simulations that can capture…

Physics and Society · Physics 2023-10-10 Nour Khoudari , Rabie Ramadan , Megan Ross , Benjamin Seibold

The energy demand of vehicles, particularly in unsteady drive cycles, is affected by complex dynamics internal to the engine and other powertrain components. Yet, in many applications, particularly macroscopic traffic flow modeling and…

Systems and Control · Electrical Eng. & Systems 2023-10-11 Nour Khoudari , Sulaiman Almatrudi , Rabie Ramadan , Joy Carpio , Mengsha Yao , Kenneth Butts , Alexandre M. Bayen , Jonathan W. Lee , Benjamin Seibold

An extended social force model with a dynamic navigation field is proposed to study bidirectional pedestrian movement. The dynamic navigation field is introduced to describe the desired direction of pedestrian motion resulting from the…

Applied Physics · Physics 2017-05-11 Yan-Qun Jiang , Bo-Kui Chen , Bing-Hong Wang , Weng-Fai Wong , Bing-Yang Cao

With the emergence of autonomous vehicles, it is important to understand their impact on the transportation system. However, conventional traffic simulations are time-consuming. In this paper, we introduce an analytical traffic model for…

Multiagent Systems · Computer Science 2018-09-10 Changliu Liu , Mykel J. Kochenderfer

This article provides an overview of the design of nonlinear feedback Cruise Controllers (CCs) for automated vehicles on lane-free roads. The feedback design problem is particularly challenging because of the various state constraints…

Optimization and Control · Mathematics 2024-05-10 Iasson Karafyllis , Dionysios Theodosis , Markos Papageorgiou , Miroslav Krstic

Recent applications of a new methodology to measure fundamental traffic relations on freeways shows that many of the critical parameters of the flow-density and speed-spacing diagrams depend on vehicle length. In response to this fact, we…

Physics and Society · Physics 2019-02-19 W. Marques , A. R. Mendez , R. M. Velasco

Operators of Electric Autonomous Mobility-on-Demand (E-AMoD) fleets need to make several real-time decisions such as matching available vehicles to ride requests, rebalancing idle vehicles to areas of high demand, and charging vehicles to…

Systems and Control · Electrical Eng. & Systems 2024-08-21 Aaryan Singhal , Daniele Gammelli , Justin Luke , Karthik Gopalakrishnan , Dominik Helmreich , Marco Pavone
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