In the status update system, the freshness of information is drawing more and more attention. To measure the freshness of the data, age-of-synchronization (AoS) is introduced. Since many communication devices are energy-constrained, how to reduce energy consumption while keeping the timely response of data needs to be carefully addressed. In this paper, we study the age-energy trade-off problem in a single-source single-server scenario. We assume the server enters a low-power sleep state when idle to save energy and consider three wake-up policies. We adopt the stochastic hybrid system (SHS) method to analyze the average AoS and average energy consumption under different policies. The age-energy trade-off relationship under different parameters is illustrated by numerical results.

翻译：在状态更新系统中，信息的 freshness 越来越受到关注。为衡量数据的 freshness，引入了同步年龄（age-of-synchronization, AoS）。由于许多通信设备受能量约束，如何在保持数据及时响应的同时降低能耗，需要仔细研究。本文研究单源单服务器场景中的年龄-能量权衡问题。我们假设服务器在空闲时进入低功耗休眠状态以节省能量，并考虑三种唤醒策略。采用随机混合系统（SHS）方法分析不同策略下的平均AoS和平均能耗。数值结果展示了不同参数下的年龄-能量权衡关系。