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Multi-Agent Path Finding (MAPF) deals with finding conflict-free paths for a set of agents from an initial configuration to a given target configuration. The Lifelong MAPF (LMAPF) problem is a well-studied online version of MAPF in which an…

Multiagent Systems · Computer Science 2024-12-06 Jonathan Morag , Noy Gabay , Daniel koyfman , Roni Stern

In this paper, we tackle the Multiple Watchman Route Problem (MWRP), which aims to find a set of paths that M watchmen can follow such that every location on the map can be seen by at least one watchman. First, we propose multiple methods…

Multiagent Systems · Computer Science 2026-04-20 Srikar Gouru , Ariel Felner , Jiaoyang Li

Multi-Agent Pickup and Delivery (MAPD) is the problem of computing collision-free paths for a group of agents such that they can safely reach delivery locations from pickup ones. These locations are provided at runtime, making MAPD a…

Artificial Intelligence · Computer Science 2023-03-31 Giacomo Lodigiani , Nicola Basilico , Francesco Amigoni

We formalize the problem of multi-agent path finding with deadlines (MAPF-DL). The objective is to maximize the number of agents that can reach their given goal vertices from their given start vertices within a given deadline, without…

Artificial Intelligence · Computer Science 2018-05-15 Hang Ma , Glenn Wagner , Ariel Felner , Jiaoyang Li , T. K. Satish Kumar , Sven Koenig

Multi-agent Pathfinding (MAPF) problem generally asks to find a set of conflict-free paths for a set of agents confined to a graph and is typically solved in a centralized fashion. Conversely, in this work, we investigate the decentralized…

Artificial Intelligence · Computer Science 2023-10-03 Alexey Skrynnik , Anton Andreychuk , Maria Nesterova , Konstantin Yakovlev , Aleksandr Panov

Consider the scenario where multiple agents have to move in an optimal way through a network, each one towards their ending position while avoiding collisions. By optimal, we mean as fast as possible, which is evaluated by a measure known…

Computational Complexity · Computer Science 2025-06-02 Foivos Fioravantes , Dušan Knop , Jan Matyáš Křišťan , Nikolaos Melissinos , Michal Opler

Path planning is a fundamental problem in road networks, with the goal of finding a path that optimizes objectives such as shortest distance or minimal travel time. Existing methods typically use graph indexing to ensure the efficiency of…

Data Structures and Algorithms · Computer Science 2024-12-10 Hanzhang Chen , Xiangzhi Zhang , Shufeng Gong , Feng Yao , Song Yu , Yanfeng Zhang , Ge Yu

Multi-agent path finding in continuous space and time with geometric agents MAPF$^\mathcal{R}$ is addressed in this paper. The task is to navigate agents that move smoothly between predefined positions to their individual goals so that they…

Artificial Intelligence · Computer Science 2020-04-29 Pavel Surynek

This study informs the design of future multi-agent pathfinding (MAPF) and multi-robot motion planning (MRMP) algorithms by guiding choices based on constraint classification for constraint-based search algorithms. We categorize constraints…

Robotics · Computer Science 2025-11-25 Hannah Lee , James D. Motes , Marco Morales , Nancy M. Amato

Deploying multi-robot systems in environments shared with dynamic and uncontrollable agents presents significant challenges, especially for large robot fleets. In such environments, individual robot operations can be delayed due to…

Robotics · Computer Science 2026-03-16 Lukas Heuer , Yufei Zhu , Luigi Palmieri , Andrey Rudenko , Anna Mannucci , Sven Koenig , Martin Magnusson

The Multi-Agent Pickup and Delivery (MAPD) problem models applications where a large number of agents attend to a stream of incoming pickup-and-delivery tasks. Token Passing (TP) is a recent MAPD algorithm that is efficient and effective.…

Artificial Intelligence · Computer Science 2018-12-18 Hang Ma , Wolfgang Hönig , T. K. Satish Kumar , Nora Ayanian , Sven Koenig

We explore the use of Artificial Potential Fields (APFs) to solve Multi-Agent Path Finding (MAPF) and Lifelong MAPF (LMAPF) problems. In MAPF, a team of agents must move to their goal locations without collisions, whereas in LMAPF, new…

Artificial Intelligence · Computer Science 2025-05-30 Arseniy Pertzovsky , Roni Stern , Ariel Felner , Roie Zivan

Multi-agent pathfinding (MAPF) is a widely used abstraction for multi-robot trajectory planning problems, where multiple homogeneous agents move simultaneously within a shared environment. Although solving MAPF optimally is NP-hard,…

Multi-Agent Pathfinding (MAPF) plays a critical role in various domains. Traditional MAPF methods typically assume unit edge costs and single-timestep actions, which limit their applicability to real-world scenarios. MAPFR extends MAPF to…

Artificial Intelligence · Computer Science 2026-04-08 Hongkai Fan , Qinjing Xie , Bo Ouyang , Yaonan Wang , Zhi Yan , Jiawen He , Zheng Fang

In the unsplittable flow problem on a path, we are given a capacitated path $P$ and $n$ tasks, each task having a demand, a profit, and start and end vertices. The goal is to compute a maximum profit set of tasks, such that for each edge…

Data Structures and Algorithms · Computer Science 2015-03-19 Paul Bonsma , Jens Schulz , Andreas Wiese

Multi-Agent Path Finding (MAPF) requires computing collision-free paths for multiple agents in shared environment. Most MAPF planners assume that each agent reaches a specific location at a specific timestep, but this is infeasible to…

Multiagent Systems · Computer Science 2025-08-08 Yifan Su , Rishi Veerapaneni , Jiaoyang Li

We design a new distribution over $\poly(r \eps^{-1}) \times n$ matrices $S$ so that for any fixed $n \times d$ matrix $A$ of rank $r$, with probability at least 9/10, $\norm{SAx}_2 = (1 \pm \eps)\norm{Ax}_2$ simultaneously for all $x \in…

Data Structures and Algorithms · Computer Science 2013-04-08 Kenneth L. Clarkson , David P. Woodruff

Multi-Agent Path Finding (MAPF), i.e., finding collision-free paths for multiple robots, plays a critical role in many applications. Sometimes, assigning a target to each agent also presents a challenge. The Combined Target-Assignment and…

Artificial Intelligence · Computer Science 2024-04-23 Yimin Tang , Sven Koenig , Jiaoyang Li

Missions for autonomous systems often require agents to visit multiple targets in complex operating conditions. This work considers the problem of visiting a set of targets in minimum time by a team of non-communicating agents in a Markov…

Optimization and Control · Mathematics 2023-06-21 Farhad Nawaz , Melkior Ornik

The Metropolis process (MP) and Simulated Annealing (SA) are stochastic local search heuristics that are often used in solving combinatorial optimization problems. Despite significant interest, there are very few theoretical results…

Data Structures and Algorithms · Computer Science 2023-12-22 Zongchen Chen , Dan Mikulincer , Daniel Reichman , Alexander S. Wein