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arXiv 2210.05552cs.MAmath.DS
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多Agent分布式和分散式几何任务分配

Multi-Agent Distributed and Decentralized Geometric Task Allocation

Michael Amir, Yigal Koifman, Yakov Bloch, Ariel Barel, Alfred M. Bruckstein

摘要:

我们认为几何任务分配的一般问题,其中一个大的,分散的群简单的移动代理必须检测任务在飞机上的位置和位置附近。这些任务由先验未知的需求简档$Φ(x,y)$表示,该需求简档确定每个位置需要多少代理。这些智能体是自治的、不经意的、不可区分的,并且具有有限的感知范围。他们必须根据$Φ$仅使用有关$Φ$和附近座席位置的本地信息来配置自己。所有智能体都根据相同的基于局部感知的运动规则行事,并且不能显式地通信或共享信息。我们提出了一个基于优化的方法来解决这个问题,导致吸引-排斥动力学。排斥力鼓励智能体分散并探索该区域以找到任务,而吸引力则使它们在任务位置聚集。我们推导出这种方法通过梯度下降在一个适当的“错误”功能,并通过数值模拟进行了广泛的测试。这项工作中的数字是模拟的快照,可以在https://youtu.be/kyUiGYSaaoQ上在线查看。

英文摘要:

We consider the general problem of geometric task allocation, wherein a large, decentralised swarm of simple mobile agents must detect the locations of tasks in the plane and position themselves nearby. The tasks are represented by an a priori unknown demand profile $Φ(x,y)$ that determines how many agents are needed in each location. The agents are autonomous, oblivious and indistinguishable, and have finite sensing range. They must configure themselves according to $Φ$ using only local information about $Φ$ and about the positions of nearby agents. All agents act according to the same local sensing-based rule of motion, and cannot explicitly communicate nor share information. We propose an optimization-based approach to the problem which results in attraction-repulsion dynamics. Repulsion encourages agents to spread out and explore the region so as to find the tasks, and attraction causes them to accumulate at task locations. We derive this approach via gradient descent over an appropriate ``error'' functional, and test it extensively through numerical simulations. The figures in this work are snapshots of simulations that can be viewed online at https://youtu.be/kyUiGYSaaoQ.

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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