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arXiv · 2208.02431

A Primal-Dual-Based Power Control Approach for Capacitated Edge Servers

Qinghui Zhang·Weidong Li·Qian Su·Xuejie Zhang
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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 $m$-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.

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Qinghui Zhang, Weidong Li, Qian Su, Xuejie Zhang. 2022-08-04. A Primal-Dual-Based Power Control Approach for Capacitated Edge Servers. https://doi.org/10.3390/s1010000

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