Abstract
A model of a system with dual (active and standby) redundancy of the components in different subsystems, which significantly enhances its reliability, is considered. The basic formulas have been obtained for the calculation of the reliability function of the system depending on the multiplicity of the active and standby redundancy in the subsystems. The problem of constructing the lower confidence bound for the reliability criterion, which is the probability of the failure-free operation of the system for a preset time, has been considered. Approximate asymptotic expressions, for the case of high reliability, have been obtained for the reliability function of the system and its lower confidence bound.
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REFERENCES
Gnedenko, B.V., Belyaev, Yu.K., and Solov’ev, A.D., Matematicheskie metody v teorii nadezhnosti (Mathematical Methods in the Theory of Reliability), Moscow: Kn. Dom Librokom, 2013.
Voprosy matematicheskoi teorii nadezhnosti (Problems of the Mathematical Theory of Reliability), Gnedenko, B.V., Ed., Moscow: Radio i Svyaz’, 1983.
Barlow, R.E. and Proschan, F., Statistical Theory of Reliability and Life Testing: Probability Models, University of Michigan, 1981.
Belyaev, Yu.K., Confidence intervals for functions of many unknown parameters, Dokl. Akad. Nauk SSSR, 1967, vol. 196, no. 4, p. 755.
Belyaev, Yu.K., Dulina, T.N., and Chepurin, E.V., Calculation of the lower confidence bound for the probability of failure-free operation of complex systems, Izv. Akad. Nauk SSSR, Tekh. Kibern., 1967, no. 2, p. 52.
Pavlov, I.V. and Razgulyaev, S.V., The lower confidence limit for the mean time of failure of a system with recoverable elements, Vestn. Mosk. Gos. Tekh. Univ. im. N. E. Baumana, Ser.: Estestv. Nauki, 2018, no. 5, p. 37.
Sidnyaev, N.I., Mathematical modeling of estimation of the reliability of objects of complex technical systems, Probl. Mashinostr. Nadezhnosti Mash., 2003, no. 4.
Lixuan Lu and Gregory Lewis, Configuration determination for k-out-of-n partially redundant systems, Reliab. Eng. Syst. Saf., 2008, vol. 93, no. 11, p. 1594.
Zuo, M.J. and Zhigang Tian, Performance evaluation of generalized multi-state k-out-of-n systems, IEEE Trans. Reliab., 2006, vol. 55, no. 2, p. 319.
Asadi, M. and Bayramoglu, I., The mean residual life function of a k-out-of-n structure at the system level, IEEE Trans. Reliab., 2006, vol. 55, no. 2, p. 314.
Mann, N.R., Schafer, R.E., and Singpurwalla, N.D., Methods for Statistical Analysis of Reliability and Life Data, Wiley, 1974.
Pavlov, I.V. and Razgulyaev, S.V., Reliability assessment for a system with loaded reservation and recovery based on the results of testing its elements, J. Mach. Manuf. Reliab., 2018, vol. 47, pp. 368–372.
Pavlov, I.V. and Razgulyaev, S.V., Asymptotic estimates of the reliability of a system with redundancy by different types of elements, Inzh. Zh.: Nauka Innovatsii, 2015, vol. 2, no. 38. http://engjournal.ru/articles/1365/1365.pdf.
Pavlov, I.V., Estimating reliability of redundant system from the results of testing its elements, Autom. Remote Control, 2017, vol. 78, pp. 507–514.
Wei-Chang Yeh, A simple algorithm for evaluating the k-out-of-n network reliability, Reliab. Eng. Syst. Saf., 2004, vol. 83, no. 1, p. 93.
Barlow, R.E. and Proschan, F., Mathematical Theory of Reliability, Wiley, 1965.
Zangwill, W.I., Nonlinear Programming: A Unified Approach, Prentice-Hall, 1969.
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Translated by O. Lotova
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Pavlov, I.V., Razgulyaev, S.V. Calculation of the Basic Reliability Parameters for the Model of a System with Dual Redundancy in Different Subsystems. J. Mach. Manuf. Reliab. 49, 829–835 (2020). https://doi.org/10.3103/S1052618820100076
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DOI: https://doi.org/10.3103/S1052618820100076