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Analysis of a two-unit standby redundant system with three states of units. (English) Zbl 0485.60085

MSC:

60K10 Applications of renewal theory (reliability, demand theory, etc.)
90B25 Reliability, availability, maintenance, inspection in operations research
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References:

[1] K. Arndt P. Franken: Construction of a class of stationary processes with applications in reliability. Zastosowania matematyki 16 (1979), 3, 319-393. · Zbl 0486.60084
[2] R. E. Barlow F. Proschan: Mathematical theory of reliability. J. Wiley, New York-London -Sydney (1965). · Zbl 0132.39302
[3] B. V. Gnedenko, Ju. K. Beljajev A. D. Solovjev: Математические методы в теории надежности. Nauka, Moskva (1965).
[4] B. V. Gnedenko M. Dinič, Ju. Nasr: О надежности дублированной системы с восстановлением и профилактическим обслуживанием. Izv. AN SSSR, Techn. Kibernet. (1975), 1, 66-11.
[5] B. Kopociński: Outline of renewal and reliability theory. (Polish). Państwowe wydawnictwo naukowe, Warszawa (1973).
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[7] T. Nakagawa S. Osaki: Stochastic behaviour of a two-unit standby redundant system. INFOR Canad. J. Oper. Res. and Infor. Proc. 12 (1974), 1, 66-10. · Zbl 0273.90019
[8] S. Osaki: On a two-unit standby redundant system with imperfect swichover. IEEE Trans. Reliab. R-21 (1972), 1, 20-24.
[9] S. Osaki T. Nakagawa: Bibliography for reliability and availability of stochastic systems. IEEE Trans. Reliab. R-25 (1976), 4, 284-286. · Zbl 0336.90023 · doi:10.1109/TR.1976.5219999
[10] P. R. Parthasarathy: Cost analysis for 2-unit systems. IEEE Trans. Reliab. R-28 (1979), 3, 268-269. · Zbl 0411.62074 · doi:10.1109/TR.1979.5220589
[11] D. Szász: A problem of two lifts. Ann. Prob. 5 (1977), 4, 550-559. · Zbl 0374.60119 · doi:10.1214/aop/1176995760
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