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We consider a wireless network with a base station serving multiple trafficstreams to different destinations. Packets from each stream arrive to the basestation according to a stochastic process and are enqueued in a separate (perstream) queue. The queueing discipline controls which packet within each queueis available for transmission. The base station decides, at every time t, whichstream to serve to the corresponding destination. The goal of schedulingdecisions is to keep the information at the destinations fresh. Informationfreshness is captured by the Age of Information (AoI) metric.  In this paper, we derive a lower bound on the AoI performance achievable byany given network operating under any queueing discipline. Then, we considerthree common queueing disciplines and develop both an Optimal StationaryRandomized policy and a Max-Weight policy under each discipline. Our approachallows us to evaluate the combined impact of the stochastic arrivals, queueingdiscipline and scheduling policy on AoI. We evaluate the AoI performance bothanalytically and using simulations. Numerical results show that the performanceof the Max-Weight policy is close to the analytical lower bound.

Minimizing the Age of Information in Wireless Networks with Stochastic Arrivals