Expected 1. x Makespan-Optimal Multi-Agent Path Finding on Grid Graphs in Low Polynomial Time

T Guo, J Yu - Journal of Artificial Intelligence Research, 2024 - jair.org
Abstract Multi-Agent Path Finding (MAPF) is NP-hard to solve optimally, even on graphs,
suggesting no polynomial-time algorithms can compute exact optimal solutions for them …

Refined hardness of distance-optimal multi-agent path finding

T Geft, D Halperin - arxiv preprint arxiv:2203.07416, 2022 - arxiv.org
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 …

Coordination of two robotic manipulators for object retrieval in clutter

J Ahn, CH Kim, C Nam - 2022 International Conference on …, 2022 - ieeexplore.ieee.org
We consider the problem of retrieving a target object from a confined space by two robotic
manipulators where overhand grasps are not allowed. If other movable obstacles occlude …

Sub-1.5 time-optimal multi-robot path planning on grids in polynomial time

T Guo, J Yu - arxiv preprint arxiv:2201.08976, 2022 - arxiv.org
Graph-based multi-robot path planning (MRPP) is NP-hard to optimally solve. In this work,
we propose the first low polynomial-time algorithm for MRPP achieving 1--1.5 asymptotic …

Reconfiguring shortest paths in graphs

K Gajjar, AV Jha, M Kumar, A Lahiri - Algorithmica, 2024 - Springer
Reconfiguring two shortest paths in a graph means modifying one shortest path to the other
by changing one vertex at a time so that all the intermediate paths are also shortest paths …

Shadoks approach to low-makespan coordinated motion planning

L Crombez, GD da Fonseca, Y Gerard… - ACM Journal of …, 2022 - dl.acm.org
This article describes the heuristics used by the Shadoks team for the CG: SHOP 2021
challenge. This year's problem is to coordinate the motion of multiple robots in order to reach …

Efficient algorithms to solve atom reconfiguration problems. I. Redistribution-reconfiguration algorithm

B Cimring, R El Sabeh, M Bacvanski, S Maaz, I El Hajj… - Physical Review A, 2023 - APS
We propose the redistribution-reconfiguration (red-rec) algorithm to prepare large
configurations of atoms using programmable arrays of optical traps. Red-rec exploits simple …

Computing coordinated motion plans for robot swarms: The cg: shop challenge 2021

SP Fekete, P Keldenich, D Krupke… - ACM Journal of …, 2022 - dl.acm.org
We give an overview of the 2021 Computational Geometry Challenge, which targeted the
problem of optimally coordinating a set of robots by computing a family of collision-free …

Collision detection for modular robots-it is easy to cause collisions and hard to avoid them

S Gupta, M van Kreveld, O Michail… - … on Algorithmics of Wireless …, 2024 - Springer
We consider geometric collision-detection problems for modular reconfigurable robots.
Assuming the nodes (modules) are connected squares on a grid, we investigate the …

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 …