This work studies the average age of information (AoI) of a monitoring system in which two sensors are sensing the same physical process and update status to a common monitor using their dedicated channels. Generally, using redundant devices to update the status of a process can improve the information timeliness at the monitor, but the disordered arrivals of updates also make the AoI analysis challenging. To that end, we model the system as two M/M/1/1 parallel status updating queues. By leveraging tools from stochastic hybrid system (SHS), we provide a general approach to analyze the average AoI, whereas a closed-form expression can be obtained when the status arrival rates and/or the service rates are the same for the two sensors. Numerical results validate the correctness of the theoretical analysis.
翻译:这项工作研究监测系统的信息的平均年龄(AoI),在监测系统中,两个传感器利用专用频道对相同的物理过程进行感测,并将状态更新到一个共同的监视器中,一般而言,使用多余的装置更新一个过程的状况可以提高监测器的信息及时性,但无序更新的抵达也使AoI分析具有挑战性。为此,我们将该系统建模为两个M/M/1/1平行状态更新队列。我们利用随机混合系统的工具,提供了分析平均AoI的一般方法,而当两种传感器的状态到达率和/或服务率相同时,可以取得封闭式表达。数字结果验证了理论分析的正确性。