This work aims to jointly optimize the coding and node selection to minimize the processing time for distributed computing tasks over wireless edge networks. Since the joint optimization problem formulation is NP-hard and nonlinear, we leverage the discrete characteristic of its decision variables to transform the problem into an equivalent linear formulation. This linearization can guarantee to find the optimal solutions and significantly reduce the problem's complexity. Simulations based on real-world datasets show that the proposed approach can reduce the total processing time up to 2.3 times compared with that of state-of-the-art approach.

翻译：这项工作旨在共同优化编码和节点选择,以尽量减少无线边缘网络上分布式计算任务的处理时间。由于联合优化问题配方是NP硬和非线性,我们利用其决定变量的离散特性将问题转化为等效线性配方。这种线性化可以保证找到最佳解决办法并大大降低问题的复杂性。基于现实世界数据集的模拟显示,与最新办法相比,拟议办法可以将总处理时间减少2.3倍。