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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

On an assigned graph, the problem of Multi-Agent Pathfinding (MAPF) consists in finding paths for multiple agents, avoiding collisions. Finding the minimum-length solution is known to be NP-hard, and computation times grows exponentially…

Multiagent Systems · Computer Science 2024-04-10 Stefano Ardizzoni , Irene Saccani , Luca Consolini , Marco Locatelli

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

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

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

The multi-agent path finding (MAPF) problem asks to find a set of paths on a graph such that when synchronously following these paths the agents never encounter a conflict. In the most widespread MAPF formulation, the so-called Classical…

Multiagent Systems · Computer Science 2025-05-16 Artem Agafonov , Konstantin Yakovlev

Multi-agent pathfinding (MAPF) is the problem of finding collision-free paths for a team of agents on a map. Although MAPF is NP-hard, the hardness of solving individual instances varies significantly, revealing a gap between theoretical…

Multiagent Systems · Computer Science 2025-12-12 Jingyao Ren , Eric Ewing , T. K. Satish Kumar , Sven Koenig , Nora Ayanian

Multi-agent path finding (MAPF) is the problem of finding paths for multiple agents such that they do not collide. This problem manifests in numerous real-world applications such as controlling transportation robots in automated warehouses,…

Artificial Intelligence · Computer Science 2024-06-18 Carmel Shabalin , Omri Kaduri , Roni Stern

Multi-agent pathfinding (MAPF) is a challenging problem which is hard to solve optimally even when simplifying assumptions are adopted, e.g. planar graphs (typically -- grids), discretized time, uniform duration of move and wait actions…

Multiagent Systems · Computer Science 2022-08-26 Stepan Dergachev , Konstantin Yakovlev

We formalize 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 the deadline, without colliding with each…

Artificial Intelligence · Computer Science 2018-06-13 Hang Ma , Glenn Wagner , Ariel Felner , Jiaoyang Li , T. K. Satish Kumar , Sven Koenig

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 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

Multi-agent pathfinding (MAPF) is the problem of finding a set of conflict-free paths for a set of agents. Typically, the agents' moves are limited to a pre-defined graph of possible locations and allowed transitions between them, e.g. a…

Artificial Intelligence · Computer Science 2024-09-02 Konstantin Yakovlev , Anton Andreychuk , Roni Stern

We discuss C-MP and C-MAPF, generalizations of the classical Motion Planning (MP) and Multi-Agent Path Finding (MAPF) problems on a directed graph G. Namely, we enforce an upper bound on the number of agents that occupy each member of a…

Multiagent Systems · Computer Science 2024-04-10 Stefano Ardizzoni , Luca Consolini , Marco Locatelli , Irene Saccani

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

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 2021-09-20 Aysu Bogatarkan

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 consider an Anonymous Multi-Agent Path-Finding (AMAPF) problem where the set of agents is confined to a graph, a set of goal vertices is given and each of these vertices has to be reached by some agent. The problem is to find an…

Artificial Intelligence · Computer Science 2024-01-30 Zain Alabedeen Ali , Konstantin Yakovlev

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

In Multiagent Path Finding (MAPF), the goal is to compute efficient, collision-free paths for multiple agents navigating a network from their sources to targets, minimizing the schedule's makespan-the total time until all agents reach their…

Multiagent Systems · Computer Science 2025-08-07 Foivos Fioravantes , Dušan Knop , Nikolaos Melissinos , Michal Opler
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