Expected 1. x Makespan-Optimal Multi-Agent Path Finding on Grid Graphs in Low Polynomial Time
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 …
suggesting no polynomial-time algorithms can compute exact optimal solutions for them …
Refined hardness of distance-optimal multi-agent path finding
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 …
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
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 …
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
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 …
we propose the first low polynomial-time algorithm for MRPP achieving 1--1.5 asymptotic …
Reconfiguring shortest paths in graphs
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 …
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
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 …
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
We propose the redistribution-reconfiguration (red-rec) algorithm to prepare large
configurations of atoms using programmable arrays of optical traps. Red-rec exploits simple …
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
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 …
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
We consider geometric collision-detection problems for modular reconfigurable robots.
Assuming the nodes (modules) are connected squares on a grid, we investigate the …
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 …
escort, wherein each (time) step, a single tile neighboring it may slide into it, leaving the …