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Wykorzystanie rozmytej transformaty do oceny rozmytej gotowości eksploatacyjnej dyskretnego w czasie systemu wielostanowego działającego w trybie drobnych uszkodzeń i napraw
Języki publikacji
Abstrakty
This paper studies assessment approach of dynamic fuzzy availability for a discrete time multi-state system under minor failures and repairs. Traditionally, it was assumed that the exact reliability data of a component/system with discrete time are given in reliability analysis. In practical engineering, it is difficult to obtain precise data to evaluate the characteristics of a component/system. To overcome the problem, fuzzy set theory is employed to deal with dynamic availability assessment for a discrete time multi-state system in this paper. A fuzzy discrete time Markov model with fuzzy transition probability matrix is proposed to analyze the fuzzy state probability of each component at any discrete time. The fuzzy Lz-transform of the discrete-state discrete-time fuzzy Markov chain is developed to extend the Lz-transform of the discrete-state continuous-time Markov model with crisp sets. Based on the α-cut approach and the fuzzy Lz-transform, the dynamic fuzzy availability of the system is computed by using parametric programming technique. To illustrate the proposed method, a flow transmission system is analyzed as a numerical example.
W niniejszej pracy badano metodę oceny dynamicznej, rozmytej gotowości eksploatacyjnej (dostępności) dyskretnego w czasie systemu wielostanowego pracującego w trybie drobnych uszkodzeń i napraw. Tradycyjnie zwykło się zakładać, że analiza niezawodności dostarcza dokładnych danych niezawodnościowych na temat danego dyskretnego w czasie komponentu/systemu. W praktyce inżynieryjnej jednak trudno jest uzyskać dokładne dane do oceny właściwości komponentu/systemu. W niniejszej pracy zaproponowano jak problem ten można rozwiązać wykorzystując do oceny dynamicznej gotowości dyskretnego w czasie systemu wielostanowego, teorię zbiorów rozmytych. Rozmyty model Markowa z dyskretnym czasem i rozmytą macierzą prawdopodobieństw przejść zastosowano do analizy rozmytego prawdopodobieństwa stanu każdego elementu w dowolnym czasie dyskretnym. Opracowano rozmytą transformatę Lz rozmytego, dyskretnego w stanach i czasie łańcucha Markowa, która pozwala poszerzyć transformatę Lz modelu Markowa dyskretnego w stanach i ciągłego w czasie o zbiory ostre. W oparciu o metodę alfa przekrojów oraz rozmytą transformatę Lz, obliczono dynamiczną rozmytą gotowość eksploatacyjną systemu, wykorzystując do tego celu technikę programowania parametrycznego. Zastosowanie proponowanej metody zilustrowano na przykładzie liczbowym analizując układ przesyłu.
Czasopismo
Rocznik
Tom
Strony
179--190
Opis fizyczny
Bibliogr. 42 poz., rys., tab.
Twórcy
autor
- College of Science Yanshan University Qinhuangdao 066004, P. R. China
autor
- College of Science Yanshan University Qinhuangdao 066004, P. R. China
autor
- College of Science Yanshan University Qinhuangdao 066004, P. R. China
autor
- Donlinks School of Economics & Management University of Science & Technology Beijing Beijing 100083, P. R. China
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Typ dokumentu
Bibliografia
Identyfikator YADDA
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