arXiv cs.AI· Foivos Fioravantes, Du\v{s}an Knop, Jan Maty\'a\v{s} K\v{r}i\v{s}\v{t}an, Nikolaos Melissinos, Michal Opler·· 5 小时前AI 评分30
树状结构上带通信约束的多智能体路径寻找精确算法研究
Exact Algorithms for Multiagent Path Finding with Communication Constraints on Tree-Like Structures
AI 导读
一项发表于 Journal of Artificial Intelligence Research 的研究在参数化复杂度框架下研究带通信约束的多智能体路径寻找（MAPF with Communication Constraint）问题，提出三个精确算法，分别适用于通信范围与智能体数量（或 makespan）给定时网络为树形拓扑、有界最大度或有界 treewidth 的情形。
正文 · 原文
Abstract: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 as the makespan of the proposed solution. This is the setting studied in the Multiagent Path Finding problem. In this work, we additionally provide the agents with a way to communicate with each other. Due to size constraints, it is reasonable to assume that the range of communication of each agent will be limited. What should be the trajectories of the agents to, additionally, maintain a backbone of communication? In this work, we study the Multiagent Path Finding with Communication Constraint problem under the parameterized complexity framework.
Our main contribution is three exact algorithms that are efficient when considering particular structures for the input network. We provide such algorithms for the case when the communication range and the number of agents (the makespan resp.) are provided in the input and the network has a tree topology, or bounded maximum degree (has a tree-like topology, i.e., bounded treewidth resp.). We complement these results by showing that it is highly unlikely to construct efficient algorithms when considering the number of agents as part of the input, even if the makespan is $3$ and the communication range is $1$.
| Comments: | Final version of the paper, published in the Journal of Artificial Intelligence Research |
| Subjects: | Computational Complexity (cs.CC); Artificial Intelligence (cs.AI) |
| Cite as: | arXiv:2412.08556 [cs.CC] |
| (or arXiv:2412.08556v4 [cs.CC] for this version) | |
| https://doi.org/10.48550/arXiv.2412.08556 arXiv-issued DOI via DataCite |
Submission history
From: Foivos Fioravantes [view email]
[v1]
Wed, 11 Dec 2024 17:17:31 UTC (35 KB)
[v2]
Thu, 12 Dec 2024 09:51:26 UTC (35 KB)
[v3]
Fri, 30 May 2025 16:14:52 UTC (841 KB)
[v4]
Wed, 28 Oct 2026 19:22:50 UTC (841 KB)
来源：arXiv cs.AI · arxiv.org