Approbation of the Numerical Method of Phase Enlargement on the Example of Modeling the Process of Functioning of a System of N Series-Connected Elements

The article discusses the approbation of the method of phase enlargement of semi-Markov systems with a common phase space developed by the authors, which makes it possible to significantly simplify this process of solving semi-Markov problems. The method is based on the theorem on the distribution f...

Full description

Saved in:

Bibliographic Details
Published in:	2020 International Multi-Conference on Industrial Engineering and Modern Technologies (FarEastCon) pp. 1 - 4
Main Authors:	Kopp, V.Ya, Vladimirova, E.S., Chalenkov, N.I., Zamoryonov, M.V., Peschansky, A.I.
Format:	Conference Proceeding
Language:	English
Published:	IEEE 06-10-2020
Subjects:	Distribution functions Finite element analysis Industrial engineering Markov processes Mathematical model Numerical models phase enlargement semi-Markov Simulation technological cell three elements verification
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	The article discusses the approbation of the method of phase enlargement of semi-Markov systems with a common phase space developed by the authors, which makes it possible to significantly simplify this process of solving semi-Markov problems. The method is based on the theorem on the distribution function of the difference of two random variables, and the second is generated by the difference between a random variable and a difficult recovery flow. Based on this theorem, the form of the distribution function is found for each of the semi-Markov states up to constants. To determine the latter, additional conditions are written, the number of which is equal to the number of states on the graph containing a continuous component. As an example, a system consisting of 3 series-connected elements is considered. The article presents the results of modeling by classical and proposed methods, which practically coincided, which confirms the correctness of the numerical method of phase enlargement.
DOI:	10.1109/FarEastCon50210.2020.9271287