Examples of series-“m out of k” systems and their limit reliability functions

• Autorzy: Milczek B.
• Języki publikacji: EN

Abstrakty

EN

The paper is concerned with mathematical methods in asymptotic approach to systems reliability analysis. The complexity of the reliability investigation of large-scale systems is proposed to be approximately solved by assuming that the number of system components tends to infinity and finding the limit reliability function of the system. Some general results in the form of auxiliary theorems and examples of limit reliability functions of homogeneous and regular series-“m out of k” systems with exponential and Weibull reliability functions of system components are presented.

Słowa kluczowe

EN

reliability; large system; asymptotic approach; limit reliability function

• Wydawca: Polskie Towarzystwo Bezpieczeństwa i Niezawodności
• Czasopismo: Journal of Polish Safety and Reliability Association
• Rocznik: 2009
• Tom: Vol. 2
• Strony: 309--316
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Milczek B.

• Maritime University, Gdynia, Poland

Bibliografia

• [1] Gnedenko, B. V. (1943). Sur la Distribution Limité du Terme Maximum d’une Serie Aleatoire. Ann. of Math. 44, 432-453.
• [2] Kolowrocki, K. (1993). On a Class of Limit Reliability Functions for Series-Parallel and Parallel-Series Systems. Monograph. Maritime University Press, Gdynia.
• [3] Kolowrocki, K. (2004). Reliability of Large Systems. Elsevier, Amsterdam-Boston-Heidelberg-London-New York-Oxford-Paris-San Diego-San Francisco-Singapore-Sydney-Tokyo.
• [4] Milczek B. (2002). On The Class of Limit Reliability Functions of Homogeneous Series-“k-out-of-n” Systems. Applied Mathematics and Computation 137, 161-174.
• [5] Milczek, B. (2004). Limit Reliability Functions of Series-“k-out-of-n” Systems. Ph.D. thesis, Department of Mathematics, Maritime University, Gdynia.
• [6] Milczek, B. (2004). Limit Reliability Functions of Some Series-“k out of n” Systems. International Journal of Materials & Structural Reliability, Vol. 2 No 1, 1-11.
• [7] Smirnov, N. V. (1949). Predelnye Zakony Raspredelenya Dla Chlenov Varyatsyonnogo Ryada. Trudy Matem. Inst. im. V. A. Stelkova.
• [8] Soszyńska, J. (2006). Reliability evaluation of a port oil transportation system in variable operation conditions. International Journal of Pressure Vessels and Piping, Vol. 83, Issue 4, 304-310.