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A most important aspect in the field of traffic modeling is the simulation of bottleneck situations. For their realistic description a macroscopic multi-lane model for uni-directional freeways including acceleration, deceleration, velocity…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing

Traditional vehicle routing algorithms do not consider the changing nature of traffic. While implementations of Dijkstra's algorithm with varying weights exist, the weights are often changed after the outcome of algorithm is executed, which…

Optimization and Control · Mathematics 2022-05-31 Piyush Udhan , Akhilesh Ganeshkar , Poobigan Murugesan , Abhishek Raj Permani , Sameep Sanjeeva , Parth Deshpande

There has been tremendous progress in algorithmic methods for computing driving directions on road networks. Most of that work focuses on time-independent route planning, where it is assumed that the cost on each arc is constant per query.…

Data Structures and Algorithms · Computer Science 2015-12-31 Moritz Baum , Julian Dibbelt , Thomas Pajor , Dorothea Wagner

The effects of real-time provision of travel-time information on the behaviour of drivers are considered. The model of Marecek et al. [arXiv:1406.7639, Int. J. Control 88(10), 2015] is extended to consider uncertainty in the response of a…

Optimization and Control · Mathematics 2017-05-26 Jakub Marecek , Robert Shorten , Jia Yuan Yu

Stochastic Model Predictive Control has proved to be an efficient method to plan trajectories in uncertain environments, e.g., for autonomous vehicles. Chance constraints ensure that the probability of collision is bounded by a predefined…

Systems and Control · Electrical Eng. & Systems 2021-05-17 Tim Brüdigam , Fulvio di Luzio , Lucia Pallottino , Dirk Wollherr , Marion Leibold

We consider chance-constrained problems with discrete random distribution. We aim for problems with a large number of scenarios. We propose a novel method based on the stochastic gradient descent method which performs updates of the…

Optimization and Control · Mathematics 2019-05-28 Lukáš Adam , Martin Branda

Motion planning for autonomous vehicles sharing the road with human drivers remains challenging. The difficulty arises from three challenging aspects: human drivers are 1) multi-modal, 2) interacting with the autonomous vehicle, and 3)…

Robotics · Computer Science 2023-02-02 Rui Oliveira , Siddharth H. Nair , Bo Wahlberg

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

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 the present paper a review and numerical comparison of a special class of multi-phase traffic theories based on microscopic, kinetic and macroscopic traffic models is given. Macroscopic traffic equations with multi-valued fundamental…

Numerical Analysis · Mathematics 2015-03-20 Raul Borsche , Mark Kimathi , Axel Klar

This study examines the behavioral and environmental implications of shared autonomous micro-mobility systems, focusing on autonomous bicycles and their integration with transit in the U.S. While prior research has addressed operational and…

Emerging Technologies · Computer Science 2025-08-06 Naroa Coretti Sanchez , Kent Larson

We propose a macroscopic traffic network flow model suitable for analysis as a dynamical system, and we qualitatively analyze equilibrium flows as well as convergence. Flows at a junction are determined by downstream supply of capacity as…

Systems and Control · Computer Science 2015-05-25 Samuel Coogan , Murat Arcak

This paper discusses the limitations of existing microscopic traffic models in accounting for the potential impacts of on-ramp vehicles on the car-following behavior of main-lane vehicles on highways. We first surveyed U.S. on-ramps to…

Systems and Control · Electrical Eng. & Systems 2023-05-23 Dustin Holley , Jovin D'sa , Hossein Nourkhiz Mahjoub , Gibran Ali , Behdad Chalaki , Ehsan Moradi-Pari

Motivated by the need to develop simulation tools for verification and validation of autonomous driving systems operating in traffic consisting of both autonomous and human-driven vehicles, we propose a framework for modeling vehicle…

Systems and Control · Computer Science 2019-04-12 Nan Li , Yu Yao , Ilya Kolmanovsky , Ella Atkins , Anouck Girard

Understanding the intention of vehicles in the surrounding traffic is crucial for an autonomous vehicle to successfully accomplish its driving tasks in complex traffic scenarios such as highway forced merging. In this paper, we consider a…

Artificial Intelligence · Computer Science 2023-09-27 Xiao Li , Kaiwen Liu , H. Eric Tseng , Anouck Girard , Ilya Kolmanovsky

Originally, the decision and control of the lane change of the vehicle were on the human driver. In previous studies, the decision-making of lane-changing of the human drivers was mainly used to increase the individual's benefit. However,…

Systems and Control · Electrical Eng. & Systems 2021-08-31 Seongjin Choi

This paper addresses the problem of motion planning for differential drive micro-mobility platforms. This class of vehicle is designed to perform small-distance transportation of passengers and goods in structured environments. Our approach…

Robotics · Computer Science 2025-05-15 Angelo Caregnato-Neto , Janito Vaqueiro Ferreira

The shift from private vehicles to public and shared transport is crucial to reducing emissions and meeting climate targets. Consequently, there is an urgent need to develop a multimodal transport trip planning approach that integrates…

Optimization and Control · Mathematics 2025-02-21 Yimeng Zhang , Oded Cats , Shadi Sharif Azadeh

We introduce a novel differentiable hybrid traffic simulator, which simulates traffic using a hybrid model of both macroscopic and microscopic models and can be directly integrated into a neural network for traffic control and flow…

Graphics · Computer Science 2022-10-18 Sanghyun Son , Yi-Ling Qiao , Jason Sewall , Ming C. Lin

Despite the significant progress of deep learning models in multitude of applications, their adaption in planning and policy related areas remains challenging due to the black-box nature of these models. In this work, we develop a set of…

Machine Learning · Computer Science 2025-09-18 Jeremy Oon , Rakhi Manohar Mepparambath , Ling Feng