arXiv:2606.27495cs.RO2026-06

多机器人路径规划新方法,快且更可靠。

AO-ARC: Almost-Surely Asymptotically Optimal Multi-Robot Motion Planning with ARC

论文配图:AO-ARC: Almost-Surely Asymptotically Optimal Multi-Robot Motion Planning with ARC
图 1 · 摘自论文原文
  • 用迭代调用原算法的方式,将可行性求解器转为可随时优化的算法。
  • 在机器人数量增加时,收敛速度和成功率优于现有方法。
  • 适合需要高可靠性与实时优化的多机协同场景。

我们提出AO-ARC,一种任意时间多机器人运动规划(MRMP)方法,在初始解生成速度上与当前最先进的可行性求解器相当,同时在机器人数量增加时,收敛更快且更可靠。AO-ARC通过迭代调用原始的ARC方法,在有限规模的MRMP实例上以完成时间(makespan)为代价指标,适配了AO-x元算法,从而利用了ARC的自适应解耦机制,并保持了跨机器人解耦中的一致代价边界。我们提供了理论分析,证明了AO-ARC的渐近最优性,并在不同协调复杂度的2D场景及代表真实应用的3D机械臂场景中进行了实证评估。

原文摘要 · Abstract (English)

We present AO-ARC, an anytime multi-robot motion planning (MRMP) method that achieves initial solution times on par with state-of-the-art MRMP feasibility solvers while converging faster and more reliably than existing anytime MRMP methods as the number of robots increases. AO-ARC adapts the AO-x meta-algorithm for converting feasibility solvers into anytime algorithms by iteratively calling the original ARC method on bounded MRMP instances under a makespan cost metric. This exploits the adaptive (de)coupling of ARC while maintaining the consistent cost bound across robot (de)compositions needed for AO-x. We provide theoretical analysis proving the asymptotic optimality properties of AO- ARC and conduct empirical evaluation on a set of 2D scenarios with different levels of coordination complexity and a 3D manipulator scenario representative of real-world applications.

多机器人路径规划渐近最优

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