Кафедра прикладної математики (ПМ)
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Перегляд Кафедра прикладної математики (ПМ) за автором "Kirichenko, L."
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Публікація Analysis of the properties of ordinary levy motion based on the estimation of stability index(Sofia : ITHEA, 2014) Kirichenko, L.; Shergin, V.The work proposes a method for estimating the stability index of alpha-stable distributions by using moments of fractional order. Provided numerical modeling has fully justified all of the results. Comparative analysis of the efficiency among the proposed method of estimating the stability index and widely used methods was performed. Proposal method is much simpler, far more faster and substantially less memory required. Estimation of generalized Hurst exponent from time series of the ordinary Lévy process was performed. Multifractal fluctuation analysis method and evaluation based on stability index estimation were compared. The results of numerical modelling showed that proposed method for estimating the fractal properties of the ordinary Lévy process, based on stability index estimation via fractional order moments is a much more accurate.Публікація Dynamic load balancing algorithm of distributed systems(2016) Ivanisenko, I.; Kirichenko, L.; Radivilova, T.The dynamic load balancing algorithm based on the monitoring server load, self-similar characteristics of passing traffic have to provide a statistically uniform load distribution on servers, high performance, fault tolerance and capacity, low response time, the amount of overhead and losses was propose in work. Integrated measurement for the total imbalance level of the system were entered.Публікація Investigation of multifractal properties of additive data stream(Publishing House of Lviv Polytechnic National University, 2016) Radivilova, T.; Ivanisenko, I.; Kirichenko, L.The work presents results of a numerical study of fractal characteristics of multifractal stream at addition of stream, which does not have multifractal properties. They showed that the generalized Hurst exponent of total stream tends to one of original multifractal stream with increase in signal/noise ratio.Публікація Investigation of Self-similar Properties of Additive Data Traffic(Lviv, 2015) Radivilova, T.; Ivanisenko, I.; Kirichenko, L.Публікація Mathematical simulation of self-similar network traffic with aimed parameters("Tibiscus" University of Timişoara, Romania, 2013) Kirichenko, L.; Radivilova, T.The objective of the given work is to study the queues resulting in the buffer while self-similar traffic passing through a network nod and to build a mathematical model of an actual traffic. The latest researches of different types of network traffics bring out clearly that network traffic is defined by self- similarity and long-term dependence. The self-similar traffic has specific structure being reserved at various measures - its realization is characterized by some vast emissions when respecting low medium-scale traffic. This fact degrades the performance significantly (increases, losses and delays) while running through the network nods. Hence, it follows that commonly used methods of simulation and network system calculations rested on traditional assumptions do not reflect the real situation taking place in the network.Публікація The method of distinction monofractal and multifractal process from time series(2014) Kirichenko, L.Based on the numerical analysis of the sample multifractal characteristics obtained by method of multifractal detrended fluctuation analysis the statistical criterion for accepting the hypothesis of monofractal properties of the time series is proposed. Results of investigations to identify mono- and multifractal properties of the time series of different nature are given.