Model of the route of the electronic communication network, taking into account the parameters of equipment condition monitoring

Analytical relationships are proposed that establish a link between the quality of the electronic communication network route and the reliability indicators of communication equipment. In contrast to previous studies, which assumed perfect control of the performance of communication equipment, this paper takes into account practical operating conditions under which control is carried out periodically. This makes it possible to bring the models closer to the actual operating conditions of the equipment. A random process is introduced that characterizes the state of the equipment at an arbitrary point in time, taking into account the probable transitions between the states of operability, failure, control, and repair. The process is regenerative, since after the completion of inspection or repair, the equipment fully restores its operational characteristics, and the moment of the next inspection is updated. An analytical expression for the equipment availability factor is obtained, which takes into account the frequency of control, the duration of inspections, and the reliability characteristics of the equipment. An analysis of this function is carried out, the conditions for the existence of its extremes are established, and the interval between inspections is determined to achieve the maximum level of system availability. In addition, a formula for the probability of timely delivery of messages in an electronic communication network is determined, taking into account the allowable time of packet delivery and the characteristics of equipment performance monitoring. The obtained results contribute to a reasonable choice of parameters of the equipment condition monitoring system and can also be used in the modernization and design of an electronic communication network.