论文标题
在带有数据包管理的两源系统中，MOMM生成AOI的函数
Moment Generating Function of the AoI in a Two-Source System With Packet Management
论文作者
论文摘要
我们考虑了一个状态更新系统，该系统由两个独立资源和一台服务器组成，其中根据Poisson流程生成每个源的数据包，并根据指数分布的服务时间提供数据包。我们通过使用随机混合系统（SHS）在两个现有的源吸引数据包管理策略下使用随机混合系统（SHS）来得出系统中每个来源的信息年龄（MGF）的力矩生成函数（MGF）。在这两个策略中，系统（即等待队列和服务器）最多可以包含两个数据包，每个源的一个数据包；当服务器繁忙并且新数据包到来时，等待队列中相同源的可能数据包被新鲜数据包取代。策略之间的主要区别在于，在自我夺回的策略中，在从同一来源到达新数据包时，服务的数据包将被替换，而在非抢先策略中，此新到达数据包被阻止和清除。我们使用派生的MGF找到AOI的第一瞬间和第二瞬间，并显示了更高时刻的重要性。
We consider a status update system consisting of two independent sources and one server in which packets of each source are generated according to the Poisson process and packets are served according to an exponentially distributed service time. We derive the moment generating function (MGF) of the age of information (AoI) for each source in the system by using the stochastic hybrid systems (SHS) under two existing source-aware packet management policies which we term self-preemptive and non-preemptive policies. In the both policies, the system (i.e., the waiting queue and the server) can contain at most two packets, one packet of each source; when the server is busy and a new packet arrives, the possible packet of the same source in the waiting queue is replaced by the fresh packet. The main difference between the policies is that in the self-preemptive policy, the packet under service is replaced upon the arrival of a new packet from the same source, whereas in the non-preemptive policy, this new arriving packet is blocked and cleared. We use the derived MGF to find the first and second moments of the AoI and show the importance of higher moments.
