Asymptotically Optimal Arrival Rate for IoT Networks with AoI and Peak AoI Constraints

Age of Information (AoI) is a critical metric for Internet of Things (IoT) real-time applications, where real-time services need fresh data. The AoI is directly affected by the arrival rate of packet in the IoT, yet the optimal arrival rate based on the hard AoI and peak AoI constraints has not been investigated. Knowing the optimal arrival rate can help to design more reliable IoT networks with minimal AoI. In this letter, based on the violation probabilities of AoI and peak AoI, the optimal arrival rate of status update is analyzed in the sight of asymptotical optimality. For loose or tight AoI/peak AoI constraint, it demonstrates that the optimal arrival rate converges to a half of service rate. Numerical results validate the correctness of theoretical analysis.