Модели и методы вычисления задержек при предоставлении услуг пользователем на сервисных платформах сеансовых инфокоммуникационных услуг

Abstract

The purpose of this article is to develop methods for calculating the qualitative characteristics of infocommunication services whose workloads consist of user sessions. The scope of application of these methods affects the development and maintenance of infocommunication multi-user services, in terms of ensuring a high quality of user service. The quality of service (QoS) parameters under consideration determine the characteristics of both the system as a whole and individual elements of its architecture, and for this type of service, the qualitative characteristics are the waiting time for the start of user session maintenance, the load factor of server equipment, the number of user sessions simultaneously supported by the system during its error-free operation. Multi-user services are considered from the point of view of queuing theory as a network of queuing systems, with the duration of the user session and the time of receipt of requests for services by gaming services distributed exponentially. To evaluate the parameters of the models of infocommunication multi-user services, Jackson networks were chosen as a mathematical apparatus, which allow us to consider the necessary systems of the type M/M/v. As an approbation of the results, a mathematical analysis of multi-user gaming services was proposed, since their popularity, and hence the flow of users to game servers, is increasing at a tremendous rate. As an additional tool for assessing the qualitative characteristics of the session models under consideration, simulation modeling was proposed, which allows us to evaluate the accuracy of the proposed analytical method and analyze the characteristics of complex systems with time distribution laws other than exponential, for example, long-tailed distributions (Weibull, Pareto, etc.)