For cloud systems a set of stochastic models taking account of system context actualization is proposed. These models are based on queueing theory and extend its applications by studying the multichannel non-Markovian systems with warm-up. Transition diagrams and matrices for the microstates of a sample cloud system are described and a scheme for computing the stationary probability distributions for requests number and waiting time is developed. The paper discusses the received computation results of the proposed modeling approach and their application to assessing the performance of the cloud systems.
Anatoly Khomonenko
Head of the department of Information science and computing systems, Petersburg State Transport University
Professor Anatoly Khomonenko is the author of the popular books on Information Technologies, C ++ and Delphi programming, databases. Interested in stochastic modeling of IT systems, fuzzy logic algorithms. Manages a testing laboratory for the railway transport software.