Оценка среднего возраста информации в системах со случайным доступом и множественным выходом
Introduction: Аn important direction in the study of the Internet of Things is the analysis of random multiple access systems that can provide stable operation with a large number of devices. An urgent task within this direction is the study of the average age of information for such systems. Purpose: To study the average age of information in random access systems with multiple departure. Results: Using a model with random access and multiple departure proposed by S. G. Foss in 2017, we describe the scenario of the Internet of Things, in which all devices are at the same distance from the base. It should be noted that the above mentioned model, unlike other random multiple access systems, ensures stable operation of the system with a potentially unlimited number of devices. In this paper, for the first time in relation to this model, we propose a method for computing the average age of information by the sequence of moments when messages enter the system and the sequence of moments when messages leave the system. We study the dependence of the average age of information on the input stream intensity. The research results show that the average age of information in a system with multiple departure is finite for any nonzero input stream intensity. Practical relevance: The proposed method for computing the average age of information for a system with multiple departure allows to compare scenarios of Internet of Things systems by this indicator. It also allows to determine the feasibility of using systems with multiple departure, taking into account the specifics of the scenario under consideration. Discussion: In this paper, we consider a simplified model of random access system with multiple departure. However, the results obtained for this model can be generalized for more complex models.