Analytical and numerical simulation of the operation of distributed information systems with self-similar input traffic

Abstract

Analytical and numerical simulation of the operation of distributed information systems with self-similar input traffic

Scoba A.N.,Mikhaylov V.K.,Nazarov S.A.,Ahmed Ayesh Nafea Ayesh

Incoming article date: 26.03.2019

This article formulates the main stages of the process of constructing analytic-numerical models of functioning of distributed information systems with non-exponential (self-similar) input traffic of requests. Each separate stage of modeling, at the conceptual level, is reduced to solving a certain class of mathematical problems. The basis of the mathematical apparatus for obtaining the basic integral characteristics of the quality of distributed information systems functioning lies in the method of analyzing the average values ​​of networks of queues. The basic relationships for calculating the reactivity of distributed information systems operation are given.

Keywords: distributed information system, discrete self-similar process, Hurst parameter, Pareto distribution, queuing network, Kendall classification, Polacek-Khinchin formula, average system response time