Distributed matching theory-based task re-allocating for heterogeneous multi-UAV edge computing

Yangang Wang, Xianglin Wei, Hai Wang, Yongyang Hu, Kuang Zhao, Jianhua Fan
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Abstract

Many efforts have been devoted to efficient task scheduling in Multi-Unmanned Aerial Vehicle (UAV) edge computing. However, the heterogeneity of UAV computation resource, and the task re-allocating between UAVs have not been fully considered yet. Moreover, most existing works neglect the fact that a task can only be executed on the UAV equipped with its desired service function (SF). In this backdrop, this paper formulates the task scheduling problem as a multi-objective task scheduling problem, which aims at maximizing the task execution success ratio while minimizing the average weighted sum of all tasks' completion time and energy consumption. Optimizing three coupled goals in a real-time manner with the dynamic arrival of tasks hinders us from adopting existing methods, like machine learning-based solutions that require a long training time and tremendous pre-knowledge about the task arrival process, or heuristic-based ones that usually incur along decision-making time. To tackle this problem in a distributed manner, we establish a matching theory framework, in which three conflicting goals are treated as the preferences of tasks, SFs and UAVs. Then, a Distributed Matching Theory-based Re-allocating (DiMaToRe) algorithm is put forward. We formally proved that a stable matching can be achieved by our proposal. Extensive simulation results show that DiMaToRe algorithm outperforms benchmark algorithms under diverse parameter settings and has good robustness.
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基于分布式匹配理论的异构多无人机边缘计算任务再分配
在多无人机(UAV)边缘计算的高效任务调度方面,人们做了很多努力。然而,无人机计算资源的异质性以及无人机之间的任务重新分配尚未得到充分考虑。此外,大多数现有研究都忽略了一个事实,即任务只能在配备了所需服务功能(SF)的无人机上执行。在此背景下,本文将任务调度问题表述为多目标任务调度问题,其目标是最大化任务执行成功率,同时最小化所有任务的完成时间和能耗的平均加权和。在任务动态到达的情况下,以实时方式优化三个耦合目标阻碍了我们采用现有的方法,如基于机器学习的解决方案(需要较长的训练时间和对任务到达过程的大量预先知识)或基于启发式的解决方案(通常需要较长的决策时间)。为了以分布式方式解决这一问题,我们建立了一个匹配理论框架,将三个相互冲突的目标分别视为任务、SF 和无人机的偏好。然后,我们提出了一种基于分布式匹配理论的重新分配(DiMaToRe)算法。我们正式证明了我们的建议可以实现稳定匹配。大量仿真结果表明,在不同参数设置下,DiMaToRe 算法优于基准算法,并具有良好的鲁棒性。
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