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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10103 - Statistics and probability

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Journal of Risk and Reliability

ISSN

1748-006X

e-ISSN

—

Svazek periodika

231

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

11

Strana od-do

617-627

Kód UT WoS článku

000415837100001

EID výsledku v databázi Scopus

2-s2.0-85034587629