Enhancing System Efficiency through Simultaneous Optimization of Delay and Energy Gain

In order to enhance the efficiency of user task offloading and optimize the overall system performance, this paper introduces a novel optimization approach centered on the simultaneous consideration of delay gain and energy gain associated with user task offloading. The analysis reveals that the optimization challenge can be effectively decomposed into two main sub-problems: joint subchannel and power allocation, and Mobile Edge Computing (MEC) resource allocation.For the joint subchannel and power allocation problem, a power allocation algorithm employing the binary method is employed to efficiently allocate power resources, while the Hungarian algorithm is applied to allocate communication channels. Additionally, the Lagrange multiplier method is incorporated to address the simplified MEC computing resource allocation problem.The simulation results demonstrate the superior performance of the proposed algorithm compared to the loss function minimum gradient method. This optimization framework provides a comprehensive and effective solution for maximizing the offloading gain of user tasks, highlighting its potential for practical implementation in emerging communication systems.