arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1402.1896cs.RO
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相关定向问题及其在持续监测任务中的应用

Correlated Orienteering Problem and it Application to Persistent Monitoring Tasks

Massachusetts Institute of Technology(麻省理工学院);Boston University(波士顿大学)

Jingjin Yu, Mac Schwager, Daniela Rus

摘要:

我们提出了一种新的非线性扩展定向问题(OP),称为相关定向问题(COP)。我们使用COP模型规划的信息旅游的持续监测的时空领域与时不变的空间相关性,其中的旅游被约束为具有有限的长度。本文的重点是QCOP,一种二次COP公式,仅关注节点网络中相邻节点之间的相关性。QCOP的主要特征是捕获所述空间相关性的二次效用函数。QCOP可以使用混合整数二次规划(MIQP)来求解,其中所得到的随时算法能够规划最大化二次效用的多个不相交的旅行。特别是,我们的算法可以快速规划一个接近最优的旅游网络上的$150$节点。除了进行广泛的模拟研究,以验证算法的正确性和表征其性能,我们还成功地将其应用到两个现实的持续监测任务:(i)估计在一个合成的时空领域,(ii)估计在马萨诸塞州的温度分布。

英文摘要:

We propose a novel non-linear extension to the Orienteering Problem (OP), called the Correlated Orienteering Problem (COP). We use COP to model the planning of informative tours for the persistent monitoring of a spatiotemporal field with time-invariant spatial correlations, in which the tours are constrained to have limited length. Our focus in this paper is QCOP a quadratic COP formulation that only looks at correlations between neighboring nodes in a node network. The main feature of QCOP is a quadratic utility function capturing the said spatial correlation. QCOP may be solved using mixed integer quadratic programming (MIQP), with the resulting anytime algorithm capable of planning multiple disjoint tours that maximize the quadratic utility. In particular, our algorithm can quickly plan a near-optimal tour over a network with up to $150$ nodes. Besides performing extensive simulation studies to verify the algorithm's correctness and characterize its performance, we also successfully applied it to two realistic persistent monitoring tasks: (i) estimation over a synthetic spatiotemporal field, and (ii) estimating the temperature distribution in the state of Massachusetts.

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。

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