Ω2: Optimal Hierarchical Planner for Object Search in Large Environments via Mobile Manipulation

Yoon-ok Cho, Donghoon Shin, Beomjoon Kim
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Abstract

We propose a hierarchical planning algorithm that efficiently computes an optimal plan for finding a target object in large environments where a robot must simultaneously consider both navigation and manipulation. One key challenge that arises from large domains is the substantial increase in search space complexity that stems from considering mobile manipulation actions and the increase in number of objects. We offer a hierarchical planning solution that effectively handles such large problems by decomposing the problem into a set of low-level intra-container planning problems and a high-level key place planning problem that utilizes the low-level plans. To plan optimally, we propose a novel admissible heuristic function that, unlike previous methods, accounts for both navigation and manipulation costs. We propose two algorithms: one based on standard A* that returns the optimal solution, and the other based on Anytime Repairing A* (ARA*) which can trade-off computation time and solution quality, and prove they are optimal even when we use hierarchy. We show our method outperforms existing algorithms in simulated domains involving up to 6 times more number of objects than previously handled.
Ω2:通过移动操作的大型环境中对象搜索的最优分层规划器
我们提出了一种分层规划算法,在机器人必须同时考虑导航和操作的大型环境中,有效地计算出寻找目标物体的最优方案。大型域带来的一个关键挑战是搜索空间复杂性的大幅增加,这源于考虑移动操作操作和对象数量的增加。我们提供了一种分层规划解决方案,通过将问题分解为一组底层的集装箱内部规划问题和一个利用底层规划的高层关键位置规划问题,有效地处理了如此大的问题。为了优化计划,我们提出了一种新的可接受的启发式函数,与以前的方法不同,它同时考虑了导航和操作成本。我们提出了两种算法:一种是基于标准A*的算法,它可以返回最优解;另一种是基于随时修复A* (ARA*)的算法,它可以权衡计算时间和解质量,并且即使在使用层次结构时也能证明它们是最优的。我们表明,我们的方法在模拟领域中优于现有算法,涉及的对象数量比以前处理的多6倍。
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