On innovative stochastic renewal process models for exact unavailability quantification of highly reliable systems

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F17%3A10238396" target="_blank" >RIV/61989100:27240/17:10238396 - isvavai.cz</a>

Result on the web

<a href="http://journals.sagepub.com/eprint/6TgfVM3xpJCSGBjqQ292/full" target="_blank" >http://journals.sagepub.com/eprint/6TgfVM3xpJCSGBjqQ292/full</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1177/1748006X17717617" target="_blank" >10.1177/1748006X17717617</a>

Result language

angličtina

Original language name

On innovative stochastic renewal process models for exact unavailability quantification of highly reliable systems

Original language description

In previous research, we developed original methodology for high-performance computing which enables exact unavailability quantification of a real maintained highly reliable system containing highly reliable components with both preventive and corrective maintenance. Whereas the original methodology was developed for systems containing components with exponential lifetime distribution, the main objective of this article is generalization of the methodology by applying stochastic alternating renewal process models, so as to be used for unavailability quantification of systems containing arbitrary components without any restrictions on the form of the probability distribution assigned to time to failure and repair duration, that is, aging components will be allowed. For this purpose, a recurrent linear integral equation for point unavailability is derived and proved. This innovative equation is particularly eligible for numerical implementation because it does not contain any renewal density, that is, it is more effective for unavailability calculation than the corresponding equation resulting from the traditional alternating renewal process theory, which contains renewal density. The new equation undergoes the process of discretization which results in numeric formula to quantify desired unavailability function. The numerical process is elaborated for all previously intended stochastic component models. Found component unavailability functions are used to quantify unavailability of a complex maintained system. System is represented by the use of directed acyclic graph, which proved to be very effective system representation to quantify reliability of highly reliable systems.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10103 - Statistics and probability

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Risk and Reliability

ISSN

1748-006X

e-ISSN

—

Volume of the periodical

231

Issue of the periodical within the volume

6

Country of publishing house

GB - UNITED KINGDOM

Number of pages

11

Pages from-to

617-627

UT code for WoS article

000415837100001

EID of the result in the Scopus database

2-s2.0-85034587629