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In the Multiagent Path Finding problem (MAPF for short), we focus on efficiently finding non-colliding paths for a set of $k$ agents on a given graph $G$, where each agent seeks a path from its source vertex to a target. An important…

Computational Complexity · Computer Science 2023-12-18 Foivos Fioravantes , Dušan Knop , Jan Matyáš Křišťan , Nikolaos Melissinos , Michal Opler

Solving the Multi-Agent Path Finding (MAPF) problem optimally is known to be NP-Hard for both make-span and total arrival time minimization. While many algorithms have been developed to solve MAPF problems, there is no dominating optimal…

Multiagent Systems · Computer Science 2024-12-20 Jingyao Ren , Vikraman Sathiyanarayanan , Eric Ewing , Baskin Senbaslar , Nora Ayanian

We study the computational complexity of multi-agent path finding (MAPF). Given a graph $G$ and a set of agents, each having a start and target vertex, the goal is to find collision-free paths minimizing the total distance traveled. To…

Multiagent Systems · Computer Science 2022-03-16 Tzvika Geft , Dan Halperin

We introduce multi-goal multi agent path finding (MAPF$^{MG}$) which generalizes the standard discrete multi-agent path finding (MAPF) problem. While the task in MAPF is to navigate agents in an undirected graph from their starting vertices…

Artificial Intelligence · Computer Science 2020-09-14 Pavel Surynek

Multi-Agent Path Finding (MAPF) is a fundamental problem in robotics, requiring the computation of collision-free paths for multiple agents moving from their respective start to goal positions. Coordinating multiple agents in a shared…

Robotics · Computer Science 2024-12-25 Jinhao Liang , Jacob K. Christopher , Sven Koenig , Ferdinando Fioretto

Multi-Agent Path Finding (MAPF) is a fundamental motion coordination problem arising in multi-agent systems with a wide range of applications. The problem's intractability has led to extensive research on improving the scalability of…

Multiagent Systems · Computer Science 2023-05-26 Tzvika Geft

Multi-Agent Path Finding (MAPF) involves determining paths for multiple agents to travel simultaneously and collision-free through a shared area toward given goal locations. This problem is computationally complex, especially when dealing…

Artificial Intelligence · Computer Science 2026-03-02 Paul Friedrich , Yulun Zhang , Michael Curry , Ludwig Dierks , Stephen McAleer , Jiaoyang Li , Tuomas Sandholm , Sven Seuken

Multi-agent pathfinding (MAPF) is a problem that generally requires finding collision-free paths for multiple agents in a shared environment. Solving MAPF optimally, even under restrictive assumptions, is NP-hard, yet efficient solutions…

Multiagent Systems · Computer Science 2025-04-09 Anton Andreychuk , Konstantin Yakovlev , Aleksandr Panov , Alexey Skrynnik

The multi-agent path finding (MAPF) problem is a combinatorial search problem that aims at finding paths for multiple agents (e.g., robots) in an environment (e.g., an autonomous warehouse) such that no two agents collide with each other,…

Artificial Intelligence · Computer Science 2020-08-11 Aysu Bogatarkan , Esra Erdem

Multi-Agent Path Finding (MAPF) is an important optimization problem underlying the deployment of robots in automated warehouses and factories. Despite the large body of work on this topic, most approaches make heavy simplifications, both…

Multi-Agent Path Finding (MAPF) is a problem of finding a sequence of movements for agents to reach their assigned location without collision. Centralized algorithms usually give optimal solutions, but have difficulties to scale without…

Multiagent Systems · Computer Science 2021-09-20 Poom Pianpak , Tran Cao Son

We study the TAPF (combined target-assignment and path-finding) problem for teams of agents in known terrain, which generalizes both the anonymous and non-anonymous multi-agent path-finding problems. Each of the teams is given the same…

Artificial Intelligence · Computer Science 2016-12-20 Hang Ma , 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

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 Path Finding (MAPF) is a long-standing problem in Robotics and Artificial Intelligence in which one needs to find a set of collision-free paths for a group of mobile agents (robots) operating in the shared workspace. Due to its…

Robotics · Computer Science 2021-08-12 Zain Alabedeen Ali , Konstantin Yakovlev

Multi-Agent Combinatorial Path Finding (MCPF) seeks collision-free paths for multiple agents from their initial locations to destinations, visiting a set of intermediate target locations in the middle of the paths, while minimizing the sum…

Robotics · Computer Science 2024-09-17 Yuanhang Zhang , Xuemian Wu , Hesheng Wang , Zhongqiang Ren

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) attracts considerable attention in artificial intelligence community as well as in robotics, and other fields such as warehouse logistics. The task in the standard MAPF is to find paths through which agents…

Artificial Intelligence · Computer Science 2021-05-11 Pavel Surynek

We formalize and study the multi-goal task assignment and path finding (MG-TAPF) problem from theoretical and algorithmic perspectives. The MG-TAPF problem is to compute an assignment of tasks to agents, where each task consists of a…

Artificial Intelligence · Computer Science 2022-08-03 Xinyi Zhong , Jiaoyang Li , Sven Koenig , Hang Ma

The MAPF problem is the fundamental problem of planning paths for multiple agents, where the key constraint is that the agents will be able to follow these paths concurrently without colliding with each other. Applications of MAPF include…