Semi-Markov Reliability Model of System Composed of Main Subsystem, Cold Backup Component and Switch

• Autorzy: Grabski F.
• Języki publikacji: EN

Abstrakty

EN

Probabilistic model of a system composed of a main component, an emergency backup component and the automatic switch are discussed in this paper. The reliability model is semi-Markov process describing evolution of the system. Conditional time to failure of the system is represented by a random variable denoting the first passage time of the process from the given state to the subset of states. The appropriate theorems of the Semi-Markov processes theory allow us to evaluate the reliability function and some reliability characteristics. To calculate the reliability function and mean time to failure of the system we apply theorems of the Semi-Markov processes theory concerning the conditional reliability functions.

Słowa kluczowe

EN

semi-Markov model; reliability characteristics

• Wydawca: Polskie Towarzystwo Bezpieczeństwa i Niezawodności
• Czasopismo: Journal of Polish Safety and Reliability Association
• Rocznik: 2017
• Tom: Vol. 8, No. 1
• Strony: 47--54
• Opis fizyczny: Bibliogr. 5 poz., wykr.

Twórcy

autor

Grabski F.

• Naval 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] Brodi, S.M. & Pogosian, J.A. (1977). Embedded stochastic processes in theory of queue. Naukova Dumka, Kiev (in Russian).
• [3] Grabski, F. (2002), Semi-Markov models of reliability and operation. Warszawa, IBS PAN, pp.161, (in Polish).
• [4] Grabski, F. (2015), Semi-Markov Processes: Applications in Systems Reliability and Maintenance. Elsevier; Amsterdam, Boston, Heidelberg, London New York, Oxford, Paris, San Diego, San Francisco, Sydney.
• [5] Korolyuk, V.S & Turbin A.F. (1976). SemiMarkov processes and their applications. Nauko Dumka,Kiev, (in Russian).

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).