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One of the main challenges in multi-agent reinforcement learning is scalability as the number of agents increases. This issue is further exacerbated if the problem considered is temporally dependent. State-of-the-art solutions today mainly…

Artificial Intelligence · Computer Science 2024-03-26 Albin Larsson Forsberg , Alexandros Nikou , Aneta Vulgarakis Feljan , Jana Tumova

We introduce and study the multi-agent stochastic shortest path (MSSP) problem, in which $k$ agents strive to reach a target state, aiming to minimize the expected time to reach the target by any agent. We analyze the computational and…

Multiagent Systems · Computer Science 2026-05-08 Martin Jonáš , Antonín Kučera , Vojtěch Kůr , Jan Mačák , Vojtěch Řehák

Multi-Agent Pathfinding (MAPF) is the problem of finding paths for multiple agents such that every agent reaches its goal and the agents do not collide. Most prior work on MAPF was on grids, assumed agents' actions have uniform duration,…

Artificial Intelligence · Computer Science 2019-06-17 Anton Andreychuk , Konstantin Yakovlev , Dor Atzmon , Roni Stern

The challenge of engineering autonomous agents capable of navigating the stochastic and adversarial nature of the physical world has historically resided at the intersection of symbolic logic and control theory. Traditional multi-agent…

Artificial Intelligence · Computer Science 2026-05-05 Manuel Hernández , Eduardo Sánchez-Soto

The notion of arc consistency plays a central role in constraint satisfaction. It is known that the notion of local consistency can be extended to constraint optimisation problems defined by soft constraint frameworks based on an idempotent…

Artificial Intelligence · Computer Science 2007-05-23 Martin Cooper , Thomas Schiex

We tackle the challenging problem of multi-agent cooperative motion planning for complex tasks described using signal temporal logic (STL), where robots can have nonlinear and nonholonomic dynamics. Existing methods in multi-agent motion…

Robotics · Computer Science 2022-01-17 Dawei Sun , Jingkai Chen , Sayan Mitra , Chuchu Fan

The task of the multi-agent pathfinding (MAPF) problem is to navigate a team of agents from their start point to the goal points. However, this setup is unsuitable in the assembly line scenario, which is periodic with a long working hour.…

Multiagent Systems · Computer Science 2025-05-15 Mingkai Tang , Lu Gan , Kaichen Zhang

The paper focuses on designing a controller for unknown dynamical multi-agent systems to achieve temporal reach-avoid-stay tasks for each agent while preventing inter-agent collisions. The main objective is to generate a spatiotemporal tube…

Systems and Control · Electrical Eng. & Systems 2025-10-23 Ahan Basu , Ratnangshu Das , Pushpak Jagtap

Existing methods for safe multi-agent control using logic specifications like Signal Temporal Logic (STL) often face scalability issues. This is because they rely either on single-agent perspectives or on Mixed Integer Linear Programming…

Multiagent Systems · Computer Science 2025-01-13 Joe Eappen , Zikang Xiong , Dipam Patel , Aniket Bera , Suresh Jagannathan

Characterising tractable fragments of the constraint satisfaction problem (CSP) is an important challenge in theoretical computer science and artificial intelligence. Forbidding patterns (generic sub-instances) provides a means of defining…

Computational Complexity · Computer Science 2023-06-22 Martin C. Cooper , Stanislav Živný

In this paper, we study asynchronous consensus problems of continuous-time multi-agent systems with discontinuous information transmission. The proposed consensus control strategy is implemented only based on the state information at some…

Dynamical Systems · Mathematics 2007-05-23 Feng Xiao , Long Wang

This paper addresses a variant of multi-agent path finding (MAPF) in continuous space and time. We present a new solving approach based on satisfiability modulo theories (SMT) to obtain makespan optimal solutions. The standard MAPF is a…

Artificial Intelligence · Computer Science 2019-03-26 Pavel Surynek

In multi-agent applications such as surveillance and logistics, fleets of mobile agents are often expected to coordinate and safely visit a large number of goal locations as efficiently as possible. The multi-agent planning problem in these…

Robotics · Computer Science 2021-11-09 Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

Signal Temporal Logic (STL) is a formal language over continuous-time signals (such as trajectories of a multi-agent system) that allows for the specification of complex spatial and temporal system requirements (such as staying sufficiently…

Robotics · Computer Science 2023-10-17 Joris Verhagen , Lars Lindemann , Jana Tumova

Multi-agent path finding (MAPF) is the problem of moving agents to the goal vertex without collision. In the online MAPF problem, new agents may be added to the environment at any time, and the current agents have no information about…

Multiagent Systems · Computer Science 2023-01-12 Mingkai Tang , Boyi Liu , Yuanhang Li , Hongji Liu , Ming Liu , Lujia Wang

Reasoning about dynamic systems with a fine-grained temporal and numeric resolution presents significant challenges for logic-based approaches like Answer Set Programming (ASP). To address this, we introduce and elaborate upon a novel…

Artificial Intelligence · Computer Science 2026-01-14 Pedro Cabalar , Martín Diéguez , François Olivier , Torsten Schaub , Igor Stéphan

The Moving-Target Traveling Salesman Problem (MT-TSP) seeks a shortest path for an agent that starts at a stationary depot, visits a set of moving targets exactly once, each within one of their respective time windows, and returns to the…

Robotics · Computer Science 2025-03-04 Allen George Philip , Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

Network design under uncertainty arises in countless real-world settings and can be captured by the Stochastic Steiner Tree Problem (SSTP). Although there are a few approaches specifically tailored to this stochastic optimization problem,…

Optimization and Control · Mathematics 2026-03-02 Berend Markhorst , Alessandro Zocca , Joost Berkhout , Rob van der Mei

The Mutliagent Path Finding (MAPF) problem consists of identifying the trajectories that a set of agents should follow inside a given network in order to reach their desired destinations as soon as possible, but without colliding with each…

Computational Complexity · Computer Science 2025-06-03 Foivos Fioravantes , Dušan Knop , Jan Matyáš Křišťan , Nikolaos Melissinos , Michal Opler , Tung Anh Vu

We consider the synthesis problem of a multi-agent system under signal temporal logic (STL) specifications representing bounded-time tasks that need to be satisfied recurrently over an infinite horizon. Motivated by the limited approaches…

Systems and Control · Electrical Eng. & Systems 2024-04-29 Eleftherios E. Vlahakis , Lars Lindemann , Dimos V. Dimarogonas
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