Operating system efficiency evaluation on the base of measurements analysis with the use of non-extensive statistics elements

The major goal of this article was to evaluate the efficiency of Linux operating system using statistical self-similarity and multifractal analysis. In order to collect the necessary data, the tools available in Linux such as vmstat, top and iostat were used. The measurement data collected with those tools had to be converted into a format acceptable by applications which analyze statistical selfsimilarity and multifractal spectra. Measurements collected while using the MySQL database system in a host operating system were therefore analyzed with the use of statistical self-similarity and allowed to determine the occurrence of long-range dependencies. Those dependencies were analyzed with the use of adequately graduated diagrams. Multifractal analysis was conducted with the help of FracLab application. Two methods were applied to determine the multifractal spectra. The obtained spectra were analyzed in order to establish the multifractal dependencies.