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This paper describes a model for processing IoT traffic with Gaussian distribution by decentralized routing devices. As a decentralized routing device, we chose a parallel spatial switching system and appropriate model. However, our model can also be used for other routing devices that have decentralized control and implement parallel processing of information packets on their ports. We obtained results that show the dependence of the queue lengths of information packets (transactions, agents etc.) on the time between arrival of these packets. We assumed that the service time of each packet is fixed.
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