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Multi-Agent Path Finding (MAPF) is an NP-hard problem well studied in artificial intelligence and robotics. It has many real-world applications for which existing MAPF solvers use various heuristics. However, these solvers are deterministic…

Artificial Intelligence · Computer Science 2017-06-12 Liron Cohen , Glenn Wagner , T. K. Satish Kumar , Howie Choset , Sven Koenig

The Multi-Agent Pathfinding (MAPF) problem involves finding a set of conflict-free paths for a group of agents confined to a graph. In typical MAPF scenarios, the graph and the agents' starting and ending vertices are known beforehand,…

Artificial Intelligence · Computer Science 2023-12-27 Alexey Skrynnik , Anton Andreychuk , Konstantin Yakovlev , Aleksandr Panov

The 2D Multi-Agent Path Finding (MAPF) problem aims at finding collision-free paths for a number of agents, from a set of start locations to a set of goal positions in a known 2D environment. MAPF has been studied in theoretical computer…

Artificial Intelligence · Computer Science 2019-05-22 Gleb Belov , Liron Cohen , Maria Garcia de la Banda , Daniel Harabor , Sven Koenig , Xinrui Wei

Multi-Robot Path Planning (MRPP) on graphs, equivalently known as Multi-Agent Path Finding (MAPF), is a well-established NP-hard problem with critically important applications. As serial computation in (near)-optimally solving MRPP…

Robotics · Computer Science 2024-03-19 Teng Guo , Jingjin Yu

In this article, we address the problem of collaborative task assignment, sequencing, and multi-agent pathfinding (TSPF), where a team of agents must visit a set of task locations without collisions while minimizing flowtime. TSPF…

Multiagent Systems · Computer Science 2025-10-28 Yifan Bai , Shruti Kotpalliwar , Christoforos Kanellakis , George Nikolakopoulos

Multi-Agent Path Finding (MAPF) is a representative multi-agent coordination problem, where multiple agents are required to navigate to their respective goals without collisions. Solving MAPF optimally is known to be NP-hard, leading to the…

Machine Learning · Computer Science 2026-05-12 Rishabh Jain , Keisuke Okumura , Michael Amir , Pietro Lio , Amanda Prorok

We consider the incomplete multi-graph matching problem, which is a generalization of the NP-hard quadratic assignment problem for matching multiple finite sets. Multi-graph matching plays a central role in computer vision, e.g., for…

Computer Vision and Pattern Recognition · Computer Science 2024-06-27 Max Kahl , Sebastian Stricker , Lisa Hutschenreiter , Florian Bernard , Bogdan Savchynskyy

In many robotics applications, multiple robots are working in a shared workspace to complete a set of tasks as fast as possible. Such settings can be treated as multi-modal multi-robot multi-goal path planning problems, where each robot has…

Robotics · Computer Science 2026-04-20 Valentin N. Hartmann , Tirza Heinle , Yijiang Huang , Stelian Coros

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

We study online Multi-Agent Path Finding (MAPF), where new agents are constantly revealed over time and all agents must find collision-free paths to their given goal locations. We generalize existing complexity results of (offline) MAPF to…

Artificial Intelligence · Computer Science 2021-06-23 Hang Ma

We present a novel algorithm for large-scale Multi-Agent Path Finding (MAPF) that enables fast, scalable planning in dynamic environments such as automated warehouses. Our approach introduces finite-horizon hierarchical factorization, a…

Robotics · Computer Science 2025-05-13 Jiarui Li , Alessandro Zanardi , Gioele Zardini

We introduce the Cooperative Multi-Agent Path Finding (Co-MAPF) problem, an extension to the classical MAPF problem, where cooperative behavior is incorporated. In this setting, a group of autonomous agents operate in a shared environment…

Multiagent Systems · Computer Science 2021-05-25 Nir Greshler , Ofir Gordon , Oren Salzman , Nahum Shimkin

This paper explores the possibility of near-optimally solving multi-agent, multi-task NP-hard planning problems with time-dependent rewards using a learning-based algorithm. In particular, we consider a class of robot/machine scheduling…

Machine Learning · Computer Science 2023-08-15 Hyunwook Kang , Taehwan Kwon , Jinkyoo Park , James R. Morrison

In this work we consider the multi-agent motion planning (MAMP) problem with the constraint that agents arrive at their respective goals at the same time. For the special case where all agents are initially at rest we propose a two-step…

Optimization and Control · Mathematics 2026-05-05 Anja Hellander , Daniel Axehill

While sequential task assignment for a single agent has been widely studied, such problems in a multi-agent setting, where the agents have heterogeneous task preferences or capabilities, remain less well-characterized. We study a…

Multiagent Systems · Computer Science 2025-10-21 Qinshuang Wei , Vaibhav Srivastava , Vijay Gupta

Multi-Agent Path Finding (MAPF) is the problem of moving a team of agents to their goal locations without collisions. In this paper, we study the lifelong variant of MAPF, where agents are constantly engaged with new goal locations, such as…

Artificial Intelligence · Computer Science 2021-03-15 Jiaoyang Li , Andrew Tinka , Scott Kiesel , Joseph W. Durham , T. K. Satish Kumar , Sven Koenig

Multi-Agent Path Finding (MAPF) finds conflict-free paths for multiple agents from their respective start to goal locations. MAPF is challenging as the joint configuration space grows exponentially with respect to the number of agents.…

Artificial Intelligence · Computer Science 2021-10-01 Lakshay Virmani , Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

Multi-agent path finding (MAPF) is the problem of finding collision-free paths for a team of agents to reach their goal locations. State-of-the-art classical MAPF solvers typically employ heuristic search to find solutions for hundreds of…

Multiagent Systems · Computer Science 2024-04-01 Rishi Veerapaneni , Qian Wang , Kevin Ren , Arthur Jakobsson , Jiaoyang Li , Maxim Likhachev

Multi-Agent Path Finding (MAPF) has been widely studied in recent years. However, most existing MAPF algorithms assume that an agent occupies only a single grid in a grid-based map. This assumption limits their applicability in many…

Robotics · Computer Science 2024-10-23 Zhuo Yao

This paper addresses a generalization of the well known multi-agent path finding (MAPF) problem that optimizes multiple conflicting objectives simultaneously such as travel time and path risk. This generalization, referred to as…

Robotics · Computer Science 2022-03-08 Zhongqiang Ren , Sivakumar Rathinam , Maxim Likhachev , Howie Choset