Abstract

In this article, using the decomposition approximation method based on the Norton theorem, the authors developed mathematical models of the functioning a distributed information processing system based on a local computer network of a two- level client-server and a three- level client-server architecture with an arbitrary function distribution of service time applications in the network nodes. A developed conceptual model of an equivalent two-node exponential queuing network and the 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 are also presented. For the given mathematical models, using the heuristic algorithm developed earlier, the problem optimal allocation of information resources across nodes the computer network was solved by the criterion of the minimum average system response time to user requests. The results of numerical experiments are given, the analysis the results of which allows us to state about the effectiveness the developed models.

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