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Minimizing the Peak Age of Information in LoRaWAN System Based on the Importance of Information
The communication network based on LoRaWAN technology consists of N nodes and carries out one-way transmission of monitoring data to the base station (BS). The messages from each node are sent to the BS at random time intervals and independently of each other. If they have the same spreading factor (SF) and airtime of messages from two or more nodes overlap, a collision occurs and none of the messages reaches the BS. We assume that the importance of up-to-date information from each node is different, and the peak age of information (PAoI) is used to measure its freshness. We define the functional as the maximum PAoI among all nodes in the system, and our task is to find the parameters under which its minimization is achieved. We choose various message intensities to account for the different importance of information from each node, formulate and solve the optimal SF allocation problem, find a lower bound for the sought functional, and demonstrate by numerical example that our solution is close to the lower bound.