Reliability asymptotic estimates of a system with redundant heterogeneous elements
Published: 25.03.2015
Authors: Pavlov I.V., Razgulyaev S.V.
Published in issue: #2(38)/2015
DOI: 10.18698/2308-6033-2015-2-1365
Category: Aviation and Rocket-Space Engineering | Chapter: Ground Complexes, Launch Equipment, Aircraft Exploitation
Authors reviewed the problem of confidence estimation of reliability indices of the system with a loaded reservation within the various subsystems by the results of tests of its components (sub-elements). Were Obtained asymptotic (for the case of high reliability) expressions for confidence bounds for the reliability function of the system.
References
[1] Gnedenko B.V., Belyaev Yu.K., Solovyov A.D. Matematicheskie metody v teorii nadezhnosti: osnovnye kharakteristiki nadezhnosti i ikh statisticheskiy analiz [Mathematical methods in reliability theory: the main characteristics of reliability and statistical analysis]. 2nd ed. Moscow, Librokom Publ., 2013, 584 p.
[2] Barlow R.E., Proschan F. Mathematical Theory of Reliability. Wiley, New York 1965. [in Russian: Barlow R.E., Proschan F. Matematicheskaya teoriya nadezhnosti. Moscow, Sovetskoe radio Publ., 1969, 488 p.].
[3] Asadi M., Bayramoglu I. The mean residual life function of a k-out-of-n structure at the system level. IEEE Transactions on Reliability, 2006, vol. 55, no. 2, pp. 314-318.
[4] Chang G., Lirong C., Hwang F.K. Reliabilities of consecutive-k systems. Dordrecht, Kluwer Academic Publishers, 2000, 217 p.
[5] Lyovin P.A., Pavlov I.V. VestnikMGTU im. N.E. Baumana. Seriya Estestvennye nauki - Herald of the Bauman Moscow State Technical University. Series: Natural sciences, 2009, no. 2, pp. 28-37.
[6] Lyovin P.A., Pavlov I.V. Vestnik MGTU im. N.E. Baumana. Seriya Estestvennye nauki - Herald of the Bauman Moscow State Technical University. Series: Natural sciences, 2011, no. 3, pp. 59-70.
[7] Eryilmaz S. On the lifetime Distribution of Consecutive k-out-of-n: F System. IEEE Transactions on Reliability, 2007, vol. 56, pp. 35-39.