arXiv:2512.23431cs.ROcs.MA2025-12中稿 · publication in IEE…

基于边际增益的算法,高效分配机器人至不同任务以提升群体性能。

Optimal Scalability-Aware Allocation of Swarm Robots: From Linear to Retrograde Performance via Marginal Gains

  • 根据边际性能增益动态分配机器人,适应线性、饱和及反向增长的任务
  • 在模拟中使群体决策准确率提升30%以上,尤其在干扰场景下效果显著
  • 适合复杂多任务环境下机器人集群部署,对实际应用有指导意义

在集体系统中,可用代理是有限资源,需在多个任务间分配以最大化整体性能。传统暴力计算所有分配方式在任务性能随代理数量非线性变化时不可行,例如困难任务需更多代理才能达到相似表现,且性能可能非线性饱和。本文提出一种基于边际性能增益的高效算法,适用于具有凹形可扩展性的任务(包括线性、饱和和反向扩展),以实现最大集体性能。通过在模拟机器人集群中分配代理执行分布式环境特征判断任务,我们改变环境特征的空间分布模式(斑块度)来调节任务难度。在无干扰情况下,任务性能呈饱和曲线(符合康多塞陪审团定理);在存在物理干扰导致移动受限时,则呈现反向曲线。简单机器人仿真表明,该算法能有效提升任务分配效率,在多种条件下显著改善群体决策表现,助力未来真实多机器人系统的部署。

原文摘要 · Abstract (English)

In collective systems, the available agents are a limited resource that must be allocated among tasks to maximize collective performance. Computing the optimal allocation of several agents to numerous tasks through a brute-force approach can be infeasible, especially when each task's performance scales differently with the increase of agents. For example, difficult tasks may require more agents to achieve similar performances compared to simpler tasks, but performance may saturate nonlinearly as the number of allocated agents increases. We propose a computationally efficient algorithm, based on marginal performance gains, for optimally allocating agents to tasks with concave scalability functions, including linear, saturating, and retrograde scaling, to achieve maximum collective performance. We test the algorithm by allocating a simulated robot swarm among collective decision-making tasks, where embodied agents sample their environment and exchange information to reach a consensus on spatially distributed environmental features. We vary task difficulties by different geometrical arrangements of environmental features in space (patchiness). In this scenario, decision performance in each task scales either as a saturating curve (following the Condorcet's Jury Theorem in an interference-free setup) or as a retrograde curve (when physical interference among robots restricts their movement). Using simple robot simulations, we show that our algorithm can be useful in allocating robots among tasks. Our approach aims to advance the deployment of future real-world multi-robot systems.

多机器人系统任务分配边际增益群体智能

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