arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1111.0053cs.AI
收藏

利用子图结构进行多机器人路径规划

Exploiting Subgraph Structure in Multi-Robot Path Planning

ARC Centre of Excellence for Autonomous Systems(ARC自主系统卓越中心);University of New South Wales(新南威尔士大学)

Malcolm Ross Kinsella Ryan

摘要:

多机器人路径规划是困难的,由于组合爆炸的搜索空间与每一个新的机器人添加。组合状态空间的完全搜索很快变得棘手。在本文中,我们提出了一种新的抽象形式,使我们能够更有效地规划。这种抽象的关键是将映射划分为具有入口和出口限制的已知结构的子图,我们可以表示为紧图。然后,规划就变成了在子图配置的小得多的空间中的搜索。一旦找到一个抽象的计划,它可以很快地分解成一个正确的(但可能是次优的)具体计划,而不需要进一步的搜索。我们证明了这种技术是健全的和完整的,并证明了其实际有效性在一个真正的地图。一个有竞争力的解决方案,优先规划,也进行了评估,并显示出类似的性能,虽然在成本的完整性。这两种方法并不一定是冲突的,我们演示了如何将它们结合成一个单一的算法,单独优于任何一种方法。

英文摘要:

Multi-robot path planning is difficult due to the combinatorial explosion of the search space with every new robot added. Complete search of the combined state-space soon becomes intractable. In this paper we present a novel form of abstraction that allows us to plan much more efficiently. The key to this abstraction is the partitioning of the map into subgraphs of known structure with entry and exit restrictions which we can represent compactly. Planning then becomes a search in the much smaller space of subgraph configurations. Once an abstract plan is found, it can be quickly resolved into a correct (but possibly sub-optimal) concrete plan without the need for further search. We prove that this technique is sound and complete and demonstrate its practical effectiveness on a real map. A contending solution, prioritised planning, is also evaluated and shown to have similar performance albeit at the cost of completeness. The two approaches are not necessarily conflicting; we demonstrate how they can be combined into a single algorithm which outperforms either approach alone.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑