The timeliness of status message delivery in communications networks is subjective to time-varying wireless channel transmissions. In this paper, we investigate the age of information (AoI) of each source in a multi-source M/G/1 queueing update system with active server failures. In particular, we adopt the method of supplementary variables to derive a closed-form expression for the average AoI in terms of system parameters, where the server repair time follows a general distribution and the service time of packets generated by independent sources is a general random variable. Numerical results are provided to validate the effectiveness of the proposed packet serving policy under different parametric settings.

翻译：通信网络发送状态电文的及时性对于时间变化的无线频道传输具有主观性。在本文中,我们调查多源M/G/1队列更新系统中每个源的信息(AoI)使用年龄,并发现服务器机机运行失败。特别是,我们采用了补充变量方法,从系统参数中得出平均AoI的闭式表达式,服务器的修理时间与一般分发时间相同,独立来源生成的包件的服务时间是一个一般随机变量。提供了数字结果,以验证在不同参数设置下拟议的包件服务政策的有效性。