Mathematical Modeling Operation of Distributed Information Processing Systems in Power Industry

Abstract

This paper presents two classes of analytic-numerical models of functioning distributed information processing systems (IPS) developed by the authors based on a two-tier and three-tier client-server architecture with an arbitrary (non-exponential) service time distribution function at network nodes. They were developed using the apparatus of approximate stochastic queuing networks, the method decomposition approximation and the method of analyzing averages. The paper also presents a developed conceptual model of an equivalent two-node queuing network (QN) and basic mathematical relationships for calculating the intensity of service in the composition center, as well as expressions for calculating the average system response time to user requests for these methods. The article presents the results numerical experiments, the analysis the results of which allows us to state about the effectiveness of the developed models. At the conceptual level, the presented models of distributed IPS simulate the operation of integrated automated control systems (IACS) in the power industry.