sustainНадежностьDependability1729-26462500-3909RAMS Journal Limited liability company10.21683/1729-2646-2023-23-3-3-13sustain-538Research ArticleСИСТЕМНЫЙ АНАЛИЗ В ЗАДАЧАХ НАДЕЖНОСТИ И БЕЗОПАСНОСТИSYSTEM ANALYSIS IN DEPENDABILITY AND SAFETYСовместные меры важности Бирнбаума для трех компонентов восстановимой системы с большим числом состоянийBirnbaum joint importance measures for three components of a repairable multistate systemsЧакоВ. М.ChackoV. M.

доцент и декан Департамента статистики,

Керала, Индия, 680001

Associate Professor and Dean, Department of Statistics, 

Kerala, India-680001

chackovm@gmail.comФрансонЭ. С.FransonA. S.

научный сотрудник Департамента статистики

Керала, Индия, 680001

Franson Ann Sania - Research Fellow, Department of Statistics,

Kerala, India-680001

АмрутаМ.AmruthaM.

научный сотрудник Департамента статистики,

Керала, Индия, 680001

Research Fellow, Department of Statistics, 

Kerala, India-680001

Колледж Святого Фомы (Автономный), Тиссур, Каликутский университетИндияSt. Thomas College (Autonomous), Thrissur, University of CalicutIndia202319082023233313Copyright © Чако В.М., Франсон Э.С., Амрута М., 20232023Чако В.М., Франсон Э.С., Амрута М.Chacko V.M., Franson A.S., Amrutha M.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.dependability.ru/jour/article/view/538

В настоящей статье предложены новые совместные меры важности двух и трех компонентов восстановимых систем с большим числом состояний, основанные на классической мере Бирнбаума. При рассмотрении восстановимой системы в качестве первого шага определяются совместные условия важности двух и трех компонентов. Затем измеряются вероятности каждой из важностей. Предложенный метод применяется к набору данных. Приводится иллюстративный пример. Как и в случае с мерой Бирнбаума, предложенные меры имеют общий характер, поскольку зависят от вероятностных свойств компонентов и структуры системы. Эти меры полезны при рассмотрении восстановимых систем.

In this paper new measures of joint importance of two and three components for repairable multistate systems based on the classical Birnbaum measure, are proposed. By considering repairable system, first joint relevancy conditions of two and three components are given. Then probabilities of each of the relevancy are measured. The proposed method is applied on a data set. An illustrative example is given. As in the Birnbaum measure, the proposed measures are generic since they depend on the probabilistic properties of the components and the system structure. These measures are useful when consider repairable system.

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The authors declare that there are no conflicts of interest present.