On the computational complexity of multi-agent pathfinding on directed graphs

B Nebel - Proceedings of the International Conference on …, 2020 - aaai.org
The determination of the computational complexity of multi-agent pathfinding on directed
graphs has been an open problem for many years. For undirected graphs, solvability can be …

A Comprehensive Review on Leveraging Machine Learning for Multi-Agent Path Finding

JM Alkazzi, K Okumura - IEEE Access, 2024 - ieeexplore.ieee.org
This review paper provides an in-depth analysis of the latest advancements in applying
Machine Learning (ML) to solve the Multi-Agent Path Finding (MAPF) problem. The MAPF …

On Computing Makespan-Optimal Solutions for Generalized Sliding-Tile Puzzles

M Gozon, J Yu - Proceedings of the AAAI Conference on Artificial …, 2024 - ojs.aaai.org
In the 15-puzzle game, 15 labeled square tiles are reconfigured on a 4× 4 board through an
escort, wherein each (time) step, a single tile neighboring it may slide into it, leaving the …

Coordination of Multiple Robots along Given Paths with Bounded Junction Complexity

M Abrahamsen, T Geft, D Halperin, B Ugav - arXiv preprint arXiv …, 2023 - arxiv.org
We study a fundamental NP-hard motion coordination problem for multi-robot/multi-agent
systems: We are given a graph $ G $ and set of agents, where each agent has a given …

Multi-robot motion planning for unit discs with revolving areas

PK Agarwal, T Geft, D Halperin, E Taylor - Computational Geometry, 2023 - Elsevier
We study the problem of motion planning for a collection of n labeled unit disc robots in a
polygonal environment. We assume that the robots have revolving areas around their start …

The parameterized complexity of coordinated motion planning

E Eiben, R Ganian, I Kanj - arXiv preprint arXiv:2312.07144, 2023 - arxiv.org
In Coordinated Motion Planning (CMP), we are given a rectangular-grid on which $ k $
robots occupy $ k $ distinct starting gridpoints and need to reach $ k $ distinct destination …

The small solution hypothesis for MAPF on strongly connected directed graphs is true

B Nebel - Proceedings of the International Conference on …, 2023 - ojs.aaai.org
The determination of the computational complexity of multi-agent pathfinding on directed
graphs (diMAPF) has been an open research problem for many years. While diMAPF has …

Fine-Grained Complexity Analysis of Multi-Agent Path Finding on 2D Grids

T Geft - Proceedings of the International Symposium on …, 2023 - ojs.aaai.org
Abstract 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 …

Efficiently reconfiguring a connected swarm of labeled robots

SP Fekete, P Kramer, C Rieck, C Scheffer… - Autonomous Agents and …, 2024 - Springer
When considering motion planning for a swarm of n labeled robots, we need to rearrange a
given start configuration into a desired target configuration via a sequence of parallel …

Parameterized Complexity of Efficient Sortation

R Ganian, HP Hoang, S Wietheger - arXiv preprint arXiv:2404.16741, 2024 - arxiv.org
A crucial challenge arising in the design of large-scale logistical networks is to optimize
parcel sortation for routing. We study this problem under the recent graph-theoretic …