Queuing model of a processing node in mobile geo monitoring network

The article discusses a mathematical model of the data flow received by a processing center with a limited input buffer, receiving packets of the same type from a large number of independent sources. All sources send packets with the same frequency, and the initial moment (the moment when the first packet is sent) for each source is random in the first period. There is a probability of packet loss on the network, which is the same for all sources. The model arose in connection with the task of collecting information on air pollution in cities using sensors located on city electric transport cars and serves to assess the parameters of the corresponding system: the volume of the receiving buffer depending on a given interval of sending packets or vice versa, determining such an interval with a known size of the receiving buffer. Both tasks are solved based on the acceptable level of losses due to refusal to receive packets due to the lack of space in the receiving buffer. The analytical model is built on the basis of LDT — large deviation theory. The obtained analytical estimates were compared with the results of simulation experiments and showed good quality in terms of behavior when changing the model parameters.