Numerical approach to reliability evaluation of two-state consecutive “k out of n: F” systems

• Autorzy: Guze S.
• Języki publikacji: EN

Abstrakty

EN

An approach to reliability analysis of two-state systems is introduced and basic reliability characteristics for such systems are defined. Further, a two-state consecutive “ k out of n: F” system composed of two-state components is defined and the recurrent formulae for its reliability function are proposed. The algorithm for numerical approach to reliability evaluation is given. Moreover, the application of the proposed reliability characteristics and formulae to reliability evaluation of the system of pump stations composed of two-state components is illustrated.

Słowa kluczowe

EN

two-state system; consecutive “k out of n : F” system; reliability; algorithm

• Wydawca: Polskie Towarzystwo Bezpieczeństwa i Niezawodności
• Czasopismo: Journal of Polish Safety and Reliability Association
• Rocznik: 2007
• Tom: Vol. 1
• Strony: 167--172
• Opis fizyczny: Bibliogr. 7 poz., tab., wykr.

Twórcy

autor

Guze S.

• Maritime University, Gdynia, Poland

Bibliografia

• [1] Antonopoulou, J. M. & Papstavridis, S. (1987). Fast recursive algorithm to evaluate the reliability of a circular consecutive-k-out-of-n: F system. IEEE Transactions on Reliability, R-36, 1, 83-84.
• [2] Barlow, R. E. & Proschan, F. (1975). Statistical Theory of Reliability and Life Testing. Probability Models. Holt Rinehart and Winston, Inc., New York.
• [3] Guze, S. (2007). Wyznaczanie niezawodności dwustanowych systemów progowych typu „kolejnych k z n: F”. Materiały XXXV Szkoły Niezawodności, Szczyrk.
• [4] Kossow, A. & Preuss, W. (1995). Reliability of linear consecutively connected systems with multi-state components. IEEE Transactions on Reliability, 44, 3, 518-522.
• [5] Malinowski, J. & Preuss, W. (1995). A recursive algorithm evaluating the exact reliability of a consecutive k-out-of-n: F system. Microelectronics and Reliability, 35, 12, 1461-1465.
• [6] Malinowski, J. (2005). Algorytmy wyznaczania niezawodności systemów sieciowych o wybranych typach struktur. Wydawnictwo WIT, ISBN 83-88311-80-8, Warszawa.
• [7] Shanthikumar, J. G. (1987). Reliability of systems with consecutive minimal cut-sets. IEEE Transactions on Reliability, 26, 5, 546-550.