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The discretization of optimal transport problems often leads to large linear programs with sparse solutions. We derive error estimates for the approximation of the problem using convex combinations of Dirac measures and devise an active-set…

Numerical Analysis · Mathematics 2017-10-16 Sören Bartels , Stephan Hertzog

We propose a method to procedurally generate a familiar yet complex human artifact: the city. We are not trying to reproduce existing cities, but to generate artificial cities that are convincing and plausible by capturing developmental…

Graphics · Computer Science 2025-07-28 Thomas Lechner , Ben Watson , Uri Wilensky , Martin Felsen

Generating competitive strategies and performing continuous motion planning simultaneously in an adversarial setting is a challenging problem. In addition, understanding the intent of other agents is crucial to deploying autonomous systems…

Robotics · Computer Science 2025-06-17 Hongrui Zheng , Zhijun Zhuang , Stephanie Wu , Shuo Yang , Rahul Mangharam

Applying assignment methods to compute user-equilibrium route choice is very common in traffic planning. It is common sense that vehicular traffic arranges in a user-equilibrium based on generalized costs in which travel time is a major…

Computational Engineering, Finance, and Science · Computer Science 2014-02-10 Vidal Roca , Vicente Torres , Tobias Kretz , Karsten Lehmann , Ingmar Hofsäß

Motivated by applications in intelligent highway systems, the paper studies the problem of guiding mobile agents in a one-dimensional formation to their desired relative positions. Only coarse information is used which is communicated from…

Optimization and Control · Mathematics 2010-04-08 Claudio De Persis , Hui Liu , Ming Cao

Autonomous exploration is an application of growing importance in robotics. A promising strategy is ergodic trajectory planning, whereby an agent spends in each area a fraction of time which is proportional to its probability information…

Optimization and Control · Mathematics 2021-07-06 Dimitris Gkouletsos , Andrea Iannelli , Mathias Hudoba de Badyn , John Lygeros

We present a numerical method that allows a formation of communicating agents to target the boundary of a time dependent concentration by following a time dependent concentration gradient. The algorithm motivated by \cite{MB, BKM}, allows…

Pattern Formation and Solitons · Physics 2007-05-23 Ioana Triandaf , Ira B. Schwartz

The aim of path planning is to reach the goal from starting point by searching for the route of an agent. In the path planning, the routes may vary depending on the number of variables such that it is important for the agent to reach…

Artificial Intelligence · Computer Science 2022-05-23 GyeongTaek Lee

Multi Agent Path Finding (MAPF) requires identification of conflict free paths for agents which could be point-sized or with dimensions. In this paper, we propose an approach for MAPF for spatially-extended agents. These find application in…

Multiagent Systems · Computer Science 2021-06-10 Shyni Thomas , M. Narasimha Murty

In the last years, a growing number of challenging applications in navigation, logistics, and tourism were modeled as orienteering problems. This problem has been proposed in relation to a sport race where certain control points must be…

Optimization and Control · Mathematics 2022-01-04 Fabio Bagagiolo , Adriano Festa , Luciano Marzufero

Uncertain dynamic obstacles, such as pedestrians or vehicles, pose a major challenge for optimal robot navigation with safety guarantees. Previous work on motion planning has followed two main strategies to provide a safe bound on an…

A discrete model of pedestrian motion is presented that is implemented in the Floor field- and Agentbased Simulation Tool (F.A.S.T.) which has already been applicated to a variety of real life scenarios.

Multiagent Systems · Computer Science 2008-08-19 Tobias Kretz , Michael Schreckenberg

We address the persistent monitoring problem in two-dimensional mission spaces where the objective is to control the trajectories of multiple cooperating agents to minimize an uncertainty metric. In a one-dimensional mission space, we have…

Optimization and Control · Mathematics 2014-04-21 Xuchao Lin , Christos G. Cassandras

We propose a dynamic model for a system consisting of self-propelled agents in which the influence of an agent on another agent is weighted by geographical distance. A parameter $\alpha$ is introduced to adjust the influence: the smaller…

Physics and Society · Physics 2015-06-24 Han-Xin Yang , Tao Zhou , Liang Huang

This paper presents a novel feedback method on the motion planning for unicycle robots in environments with static obstacles, along with an extension to the distributed planning and coordination in multi-robot systems. The method employs a…

Robotics · Computer Science 2014-10-22 Dimitra Panagou

Multi-agent path planning is a critical challenge in robotics, requiring agents to navigate complex environments while avoiding collisions and optimizing travel efficiency. This work addresses the limitations of existing approaches by…

This paper will present a model for pedestrian motion by defining a spacetime metric. This model considers the factors that are effective in the movement of pedestrians (such as obstacles, walls and other pedestrians) by defining a proper…

Physics and Society · Physics 2022-11-22 Amir Ghorbani

When working around other agents such as humans, it is important to model their perception capabilities to predict and make sense of their behavior. In this work, we consider agents whose perception capabilities are determined by their…

Robotics · Computer Science 2025-08-12 Maulik Bhatt , HongHao Zhen , Monroe Kennedy , Negar Mehr

We describe a hybrid agent-based model and simulation of urban morphogenesis. It consists of a cellular automata grid coupled to a dynamic network topology. The inherently heterogeneous properties of urban structure and function are taken…

Multiagent Systems · Computer Science 2016-12-28 Juste Raimbault , Arnaud Banos , René Doursat

There are different physics-based approaches for analysing pedestrian movement. Physics-based methods like statistical mechanics-based models apply the laws of physics to drive equations for analysing crowd behaviour. This paper will…

Physics and Society · Physics 2022-11-15 Amir Ghorbani