In sprite the state-of-the-art, significantly reducing carbon footprint (CF) in communications systems remains urgent. We address this challenge in the context of edge computing. The carbon intensity of electricity supply largely varies spatially as well as temporally. This, together with energy sharing via a battery management system (BMS), justifies the potential of CF-oriented task offloading, by redistributing the computational tasks in time and space. In this paper, we consider optimal task scheduling and offloading, as well as battery charging to minimize the total CF. We formulate this CF minimization problem as an integer linear programming model. However, we demonstrate that, via a graph-based reformulation, the problem can be cast as a minimum-cost flow problem. This finding reveals that global optimum can be admitted in polynomial time. Numerical results using real-world data show that optimization can reduce up to 83.3% of the total CF.
翻译:在重塑最新工艺时,大幅降低通信系统中的碳足迹(CF)仍然是紧迫的。我们在边缘计算中应对这一挑战。电力供应的碳密度在空间和时间上都有很大差异。这加上通过电池管理系统(BMS)共享能源,通过在时间和空间上重新分配计算任务,证明CF导向的任务可以卸载。在本文中,我们考虑优化任务时间安排和卸载以及电池充电以最大限度地减少CF总量。我们把这个CF最小化问题作为一个整数线性编程模型。然而,我们证明,通过基于图表的重拟,问题可以被描绘成一个最低成本流量问题。这一发现表明,全球最佳性任务可以在多元时间被接受。使用现实世界数据得出的数字结果表明,优化可以将CFC总量的83.3%降至最低。