MATEC Web Conf.
Volume 129, 2017International Conference on Modern Trends in Manufacturing Technologies and Equipment (ICMTMTE 2017)
|Number of page(s)||5|
|Section||Modelling of Technical Systems. CAD/CAM/CAE Systems|
|Published online||07 November 2017|
Semi-markov model of processing requests to the cloud storage
Sevastopol State University, Department of Information Technologies and Computer Systems, Sevastopol, Russian Federation
2 Federal state owned military educational institution of the Higher professional Education “the black sea higher navy order of the red star academy by P.S.Nakhimov” Russian Federation, 299028, Sevastopol
* Corresponding author: firstname.lastname@example.org
This paper presents a semi-Markov model as an important part of the computer-aided manufacturing and a modular system of cloud storage, which affects the functioning of the whole process. The residence times of the system in states and the probability of system transitions are determined. There is a stationary distribution of the embedded Markov chain. The residence times of the system in states with allowance for repeated hits are determined by the theorem on the distribution functions of the residence times of the system in states with allowance for repeated hits. When using the trajectory method, the distribution function of the time for the complete processing of the read request by such a system is determined. A comparison of the expectation time complete processing the read request obtained in this study and obtained by the known formula for determining from the literature the expectation residence time in the subset of the system states.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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