Reliability of large three-dimensional nanosystems

• Autorzy: Kołowrocki K. , Torbicki M.
• Języki publikacji: EN

Abstrakty

EN

Basic notions and agreements on reliability of three-dimensional nanosystems are introduced. The asymptotic approach to the three-dimensional nanosystem reliability investigation is presented and the nanosystem limit reliability function is defined. Auxiliary theorems on limit reliability functions of three-dimensional nanosystems composed of large number of independent nanocomponents are formulated and the classes of limit reliability functions for a homogeneous series and series-parallel nanosystems are fixed. A model of a three-dimensional series and series-parallel nanosystem with dependent nanocomponents is created and the class of limit reliability functions identical with the class in the previous case is fixed as well. The asymptotic approach to reliability evaluation of exemplary three-dimensonal series and series-parallel nanosystem with dependent nanocomponents is presented and its accuracy is discussed.

Słowa kluczowe

EN

reliability; nanosystem; asymptotic approach; limit reliability function

• Wydawca: Polskie Towarzystwo Bezpieczeństwa i Niezawodności
• Czasopismo: Journal of Polish Safety and Reliability Association
• Rocznik: 2015
• Tom: Vol. 6, No. 2
• Strony: 19--31
• Opis fizyczny: Bibliogr. 7 poz., rys., tab., wykr.

Twórcy

autor

Kołowrocki K.

• Maritime University, Gdynia, Poland

autor

Torbicki M.

• Maritime University, Gdynia, Poland

Bibliografia

• [1] Barlow, R. E. & Proschan, F. (1975). Statistical Theory of Reliability and Life Testing. Probability Models. Holt Rinehart and Winston, Inc., New York.
• [2] Ebrahimi, N. (2008). Assessing a linear nanosystem’s limiting reliability from its components. Journal of Applied Probability 45, 879-887.
• [3] Ebrahimi, N. (2011). Assessing the reliability function of nanocomponents, Journal of Applied Probability 48, 31-42.
• [4] Gniedenko, B.W. (1943). Sur la distribution limite du terme maximum d’une serie aleatoire, Annals of Mathematics 44, 432-453.
• [5] Kołowrocki, K. (1993). On a class of limit reliability functions for series-parallel and parallel-series systems, Gdynia Maritime University Press.
• [6] Kołowrocki, K. (2008). Reliability of large systems, Encyclopedia of Quantitative Risk Analysis and Assessment, ISBN 978-0-47003549-8, John Wiley & Sons, Vol. 4, 1466-1471.
• [7] Kołowrocki, K. (2014). Reliability of Large and Complex Systems, Elsevier.