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Reliability modelling of complex systems. Part 1

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Języki publikacji
EN
Abstrakty
EN
The paper is concerned with the application of limit reliability functions to the reliability evaluation of large systems. Two-state large non-repaired systems composed of independent components are considered. The asymptotic approach to the system reliability investigation and the system limit reliability function are defined. Two-state homogeneous series, parallel and series-parallel systems are defined and their exact reliability functions are determined. The classes of limit reliability functions of these systems are presented. The results of the investigation concerned with domains of attraction for the limit reliability functions of the considered systems and the investigation concerned with the reliability of large hierarchical systems as well are discussed in the paper. The paper contains exemplary applications of the presented facts to the reliability evaluation of large technical systems.
Rocznik
Tom
Strony
219--230
Opis fizyczny
Bibliogr. 14 poz., rys., tab., wykr.
Twórcy
  • 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] Chernoff, H. & Teicher, H. (1965). Limit distributions of the minimax of independent identically distributed random variables. Proc. Americ. Math. Soc. 116, 474-491.
  • [3] Cichocki, A. (2003). Wyznaczanie granicznych funkcji niezawodności systemów hierarchicznych przy standaryzacji potęgowej. PhD Thesis. Maritime University, Gdynia – Systems Research Institute, Polish Academy of Sciences, Warszawa.
  • [4] Fisher, R. A. & Tippett, L. H. C. (1928). Limiting forms of the frequency distribution of the largest and smallest member of a sample. Proc. Cambr. Phil. Soc. 24, 180-190.
  • [5] Frechet, M. (1927). Sur la loi de probabilite de l’ecart maximum. Ann. de la Soc. Polonaise de Math. 6, 93-116.
  • [6] Gniedenko, B. W. (1943). Sur la distribution limite du terme maximum d’une serie aleatoire. Ann. of Math. 44, 432-453.
  • [7] Gumbel, E. J. (1962). Statistics of Extremes. New York.
  • [8] Kołowrocki, K. (1993). On a Class of Limit Reliability Functions for Series-Parallel and Parallel-Series Systems. Monograph. Maritime University Press, Gdynia.
  • [9] Kołowrocki, K. (2004). Reliability of Large Systems. Elsevier, Amsterdam-Boston-Heidelberg−London−New York−Oxford−Paris−San Diego−San Francisco−Singapore−Sydney−Tokyo.
  • [10] Kołowrocki, K. (2007). Reliability of complex systems – Part 2. Proc. Summer Safety and Reliability Seminars – SSARS 2007, Sopot.
  • [11] Kurowicka, D. (2001). Techniques in Representing High Dimensional Distributions. PhD Thesis. Maritime University, Gdynia - Delft University.
  • [12] Von Mises, R. (1936). La distribution de la plus grande de n valeurs. Revue Mathematique de l’Union Interbalkanique 1, 141-160.
  • [13] Smirnow, N. W. (1949). Predielnyje Zakony Raspredielenija dla Czlienow Wariacjonnogo Riada. Trudy Matem. Inst. im. W. A. Stieklowa.
  • [14] Xue, J. & Yang, K. (1995). Dynamic reliability analysis of coherent multi-state systems. IEEE Transactions on Reliability 4, 44, 683-688
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-bfaf2fb3-2b9e-471a-aed6-31475031e3c7
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