Next Article in Journal
An Extended EDAS Method with a Single-Valued Complex Neutrosophic Set and Its Application in Green Supplier Selection
Next Article in Special Issue
Renewal Redundant Systems Under the Marshall–Olkin Failure Model. A Probability Analysis
Previous Article in Journal
A Spectral Conjugate Gradient Method with Descent Property
Previous Article in Special Issue
Analysis of Queueing System MMPP/M/K/K with Delayed Feedback
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Mathematics
Volume 8
Issue 2
10.3390/math8020278
mathematics-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

On Reliability of a Double Redundant Renewable System with a Generally Distributed Life and Repair Times

by
Vladimir Rykov
1,2,
Dmitry Efrosinin
2,3,*,
Natalia Stepanova
4 and
Janos Sztrik
5
1
Department of Applied Mathematics and Computer Modelling, Faculty of Automation and Computer Science, Gubkin Russian State University of Oil and Gas, 119991 Moscow, Russia
2
Department of Information Technologies, Faculty of Mathematics and Natural Sciences, Peoples’ Friendship University of Russia (RUDN University), 117198 Moscow, Russia
3
Insitute for Stochastics, Johannes Kepler University Linz, 4030 Linz, Austria
4
Laboratory N17, Trapeznikov Institute of Control Sciences of RAS, 117997 Moscow, Russia
5
Department of Informatics and Networks, Faculty of Informatics, University of Debrecen, 4032 Debrecen, Hungary
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(2), 278; https://doi.org/10.3390/math8020278
Submission received: 3 February 2020 / Revised: 13 February 2020 / Accepted: 14 February 2020 / Published: 19 February 2020
(This article belongs to the Special Issue Queueing Methods in Reliability Theory and Information Technology Systems)
Browse Figures
Review Reports Versions Notes

Abstract

The paper provides reliability analysis of a cold double redundant renewable system assuming that both life-time and repair time distributions are arbitrary. The proposed approach is based on the theory of decomposable semi-regenerative processes. We derive the Laplace–Stieltjes transform of two main reliability measures like the distribution of the time between failures and the time to the first failure. The transforms are used to calculate corresponding mean times. It is further derived in closed form the time-dependent and time stationary state probabilities in terms of the Laplace transforms. Numerical results illustrate the effect of the type of distributions as well as their parameters on the derived reliability and probabilistic measures.
Keywords: redundant system; reliability; arbitrary distributions; time-dependent characteristics; decomposable semi-regenerative process redundant system; reliability; arbitrary distributions; time-dependent characteristics; decomposable semi-regenerative process

Share and Cite

MDPI and ACS Style

Rykov, V.; Efrosinin, D.; Stepanova, N.; Sztrik, J. On Reliability of a Double Redundant Renewable System with a Generally Distributed Life and Repair Times. Mathematics 2020, 8, 278. https://doi.org/10.3390/math8020278

AMA Style

Rykov V, Efrosinin D, Stepanova N, Sztrik J. On Reliability of a Double Redundant Renewable System with a Generally Distributed Life and Repair Times. Mathematics. 2020; 8(2):278. https://doi.org/10.3390/math8020278

Chicago/Turabian Style

Rykov, Vladimir, Dmitry Efrosinin, Natalia Stepanova, and Janos Sztrik. 2020. "On Reliability of a Double Redundant Renewable System with a Generally Distributed Life and Repair Times" Mathematics 8, no. 2: 278. https://doi.org/10.3390/math8020278

APA Style

Rykov, V., Efrosinin, D., Stepanova, N., & Sztrik, J. (2020). On Reliability of a Double Redundant Renewable System with a Generally Distributed Life and Repair Times. Mathematics, 8(2), 278. https://doi.org/10.3390/math8020278

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop