Moment Generating Function of the AoI in a Two-Source System With Packet Management

We consider a status update system consisting of two independent sources and one server in which packets each source are generated according to the Poisson process served an exponentially distributed service time. derive moment generating function (MGF) age information (AoI) for by using stochastic hybrid systems (SHS) under existing source-aware packet management policies we term self-preemptive non-preemptive policies. In both policies, (i.e., waiting queue server) can contain at most packets, source; when is busy new arrives, possible same replaced fresh packet. The main difference between that policy, upon arrival from source, whereas this arriving blocked cleared. use derived MGF find first second moments AoI show importance higher moments.