A Primal-Dual-Based Power Control Approach for Capacitated Edge Servers
Abstract
The intensity of radio waves decays rapidly with increasing propagation distance, and an edge server's antenna needs more power to form a larger signal coverage area. Therefore, the power of the edge server should be controlled to reduce energy consumption. In addition, edge servers with capacitated resources provide services for only a limited number of users to ensure the quality of service (QoS). We set the signal transmission power for the antenna of each edge server and formed a signal disk, ensuring that all users were covered by the edge server signal and minimizing the total power of the system. This scenario is a typical geometric set covering problem, and even simple cases without capacity limits are NP-hard problems. In this paper, we propose a primal-dual-based algorithm and obtain an -approximation result. We compare our algorithm with two other algorithms through simulation experiments. The results show that our algorithm obtains a result close to the optimal value in polynomial time.
Cite
@article{arxiv.2208.02431,
title = {A Primal-Dual-Based Power Control Approach for Capacitated Edge Servers},
author = {Qinghui Zhang and Weidong Li and Qian Su and Xuejie Zhang},
journal= {arXiv preprint arXiv:2208.02431},
year = {2022}
}