# Energy-Efficient Mobile-Edge Computation Offloading over Multiple Fading Blocks

## TL;DR

This paper develops an optimal method for energy-efficient computation offloading in mobile edge computing over multiple fading blocks, considering random channel gains to minimize energy consumption.

## Contribution

It introduces a piecewise convex optimization framework and provides an optimal solution for energy-efficient offloading across multiple fading blocks.

## Key findings

- The optimization problem is non-convex but piecewise convex.
- The proposed method minimizes total expected energy consumption.
- Numerical results confirm the effectiveness of the solution.

## Abstract

By allowing a mobile device to offload computation-intensive tasks to a base station, mobile edge computing (MEC) is a promising solution for saving the mobile device's energy. In real applications, the offloading may span multiple fading blocks. In this paper, we investigate energy-efficient offloading over multiple fading blocks with random channel gains. An optimization problem is formulated, which optimizes the amount of data for offloading to minimize the total expected energy consumption of the mobile device. Although the formulated optimization problem is non-convex, we prove that the objective function of the problem is piecewise convex, and accordingly develop an optimal solution for the problem. Numerical results verify the correctness of our findings and the effectiveness of our proposed method.