Abstract
Introduction: it is shown that when organizing the collection of short digital messages in a trunking radio communication network, service request communication channels can be used, transmitting packets-requests to establish a connection. With this approach, the question arises about the size of the bandwidth of the request communication channel, allocated for collecting information, at which the fulfillment of the requirements for establishing a connection will be preserved. Purpose: the purpose of the work is to develop a methodology for calculating the timeliness of transmission of requests for establishing a connection in the context of transmission of short digital messages This technique is the basis of the technique for determining the bandwidth of the request communication channel, allocated for solving the problem of collecting short digital messages. Results: A mathematical description of the revealed feature was carried out, which is the scientific novelty of the research results. An analytical rule for calculating the matrix of transition probabilities and the procedure for calculating the vector of initial probabilities of the request transmission process are presented, which allow, based on the Kolmogorov-Chapman equation, to mathematically describe the request transmission process based on the random multiple access algorithm and calculate the probabilistic-temporal characteristics of the request transmission. The method of calculating the probabilistic-temporal characteristics of the request transmission based on the compiled mathematical model of the request transmission and the mathematical model of the operation of the request channel is presented. The effect of taking into account the revealed features is shown, expressed in increasing the timeliness of the request transmission. Practical relevance: Formed a methodology, which is the basis of the methodology for determining the optimal values of the parameters of the double use of the request channel, which makes it possible to organize the transmission of deterministic traffic of short digital messages over the request channel with a given level of timeliness of transmission of requests to establish a connection. Discussion: the use of the developed methodology will allow organizing a periodic collection of short digital messages in the trunking radio access network without using traffic channels.
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