Optimal Code Partitioning over Time and Hierarchical Cloudlets

This letter proposes a task scheduling scheme designed for code partitioning over time and the hierarchical cloudlets in a mobile edge network. To this end, we define the so called energy-time cost parameters to optimally schedule tasks over time and hierarchical cloudlet locations. Accordingly, we investigate two different optimization scenarios. In particular, the first scenario aims at finding the optimal task scheduling for given radio parameters. In the second scenario, we carry out the optimization of both the task scheduling and the mobile device's transmission power. More importantly, we show that by adopting the proposed code partitioning scheme in this letter, the transmission power optimization problem becomes a disjoint problem from the task scheduling problem.