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This paper presents GAMMA, a general motion prediction model that enables large-scale real-time simulation and planning for autonomous driving. GAMMA models heterogeneous, interactive traffic agents. They operate under diverse road…

Robotics · Computer Science 2022-04-27 Yuanfu Luo , Panpan Cai , Yiyuan Lee , David Hsu

Optimization has been widely used to generate smooth trajectories for motion planning. However, existing trajectory optimization methods show weakness when dealing with large-scale long trajectories. Recent advances in parallel computing…

Robotics · Computer Science 2025-07-18 Jiajun Yu , Nanhe Chen , Guodong Liu , Chao Xu , Fei Gao , Yanjun Cao

To alleviate traffic congestion, a variety of route guidance strategies has been proposed for intelligent transportation systems. A number of the strategies are proposed and investigated on a symmetric two-route traffic system over the past…

Physics and Society · Physics 2022-04-13 Zhengbing He , Ning Jia , Wei Guan

This paper proposes a simplified version of classical models for urban transportation networks, and studies the problem of controlling intersections with the goal of optimizing network-wide congestion. Differently from traditional…

Optimization and Control · Mathematics 2018-11-08 Gianluca Bianchin , Fabio Pasqualetti

The user equilibrium in traffic assignment problem is based on the fact that travelers choose the minimum-cost path between every origin-destination pair and on the assumption that such a behavior will lead to an equilibrium of the traffic…

Artificial Intelligence · Computer Science 2014-06-10 Yang Liu , Xiaoge Zhang , Yong Deng

We define a new problem called the Vehicle Scheduling Problem (VSP). The goal is to minimize an objective function, such as the number of tardy vehicles over a transportation network subject to maintaining safety distances, meeting hard…

Robotics · Computer Science 2020-01-28 Mirmojtaba Gharibi , Steven L. Waslander , Raouf Boutaba

Nowadays, traffic management has become a challenge for urban areas, which are covering larger geographic spaces and facing the generation of different kinds of traffic data. This article presents a robust traffic estimation framework for…

Optimization and Control · Mathematics 2016-06-13 Edward S. Canepa , Christian G. Claudel

Iterating between a router and a traffic micro-simulation is an increasibly accepted method for doing traffic assignment. This paper, after pointing out that the analytical theory of simulation-based assignment to-date is insufficient for…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Kai Nagel , Marcus Rickert , Patrice M. Simon , Martin Pieck

This letter proposes a routing framework in mixed transportation systems for improving mobility equity. We present a strategic routing game that governs interactions between compliant and noncompliant vehicles, where noncompliant vehicles…

Systems and Control · Electrical Eng. & Systems 2024-07-18 Heeseung Bang , Aditya Dave , Andreas A. Malikopoulos

Stochastic User Equilibrium (SUE) models depict the perception differences in traffic assignment problems. According to the assumption of an unbounded perceived travel time distribution, the conventional SUE problems result in a positive…

General Economics · Economics 2024-02-29 Songyot Kitthamkesorn , Anthony Chen

Stochastic effects significantly influence the dynamics of traffic flows. Many dynamic traffic assignment (DTA) models attempt to capture these effects by prescribing a specific ratio that determines how flow splits across different routes…

Optimization and Control · Mathematics 2024-09-20 Lukas Graf , Tobias Harks , Michael Markl

Searching for a parking spot can waste time and gasoline. This waste can be reduced by assigning drivers to parking lots based on their destination and arrival time. In such a system, drivers could request a parking spot in advance and be…

Optimization and Control · Mathematics 2015-07-14 Nicole Taheri , Jia Yuan Yu , Robert Shorten

In this paper we propose a LWR-like model for traffic flow on networks which allows one to track several groups of drivers, each of them being characterized only by their destination in the network. The path actually followed to reach the…

Optimization and Control · Mathematics 2016-06-17 Emiliano Cristiani , Fabio S. Priuli

In this paper, we propose a novel model that describes how the traffic evolution on a highway stretch is affected by the presence of a service station. The presented model enhances the classical CTM dynamics by adding the dynamics…

Systems and Control · Electrical Eng. & Systems 2022-09-15 Carlo Cenedese , Michele Cucuzzella , Antonella Ferrara , John Lygeros

This paper presents the Maximal Compatibility Matching (MCM) framework, a novel assignment strategy for ride-hailing systems that explicitly incorporates passenger comfort into the matching process. Traditional assignment methods prioritize…

Systems and Control · Electrical Eng. & Systems 2025-05-06 Avalpreet Singh Brar , Rong Su , Jaskaranveer Kaur , Xinling Li , Gioele Zardini

We present a unified framework for solving trajectory optimization problems in a derivative-free manner through the use of sequential convex programming. Traditionally, nonconvex optimization problems are solved by forming and solving a…

Optimization and Control · Mathematics 2025-10-01 Kevin Tracy , John Z. Zhang , Jon Arrizabalaga , Stefan Schaal , Yuval Tassa , Tom Erez , Zachary Manchester

We first formulate the problem of optimally scheduling air traffic low with sector capacity constraints as a mixed integer linear program. We then use semidefinite relaxation techniques to form a convex relaxation of that problem. Finally,…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Alexandre d'Aspremont , Laurent El Ghaoui

This paper presents a new simulation-based approach to address the stochastic Dynamic Traffic Assignment (DTA) problem, focusing on large congested networks and dynamic settings. The proposed methodology incorporates a random walk model…

Multiagent Systems · Computer Science 2023-11-22 Kaveh Khoshkhah , Mozhgan Pourmoradnasseri , Sadok Ben Yahia , Amnir Hadachi

While many classical traffic models treat the spatial extension of streets continuously or by discretization into cells of a certain length, we will subdivide roads into comparatively long homogeneous road sections of constant capacity with…

Statistical Mechanics · Physics 2009-11-10 Dirk Helbing

Two multivehicle routing problems are considered in the framework that a visit to a location must take place during a specific time window in order to be counted and all time windows are the same length. In the first problem, the goal is to…

Data Structures and Algorithms · Computer Science 2011-01-21 Greg N. Frederickson , Barry Wittman
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