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Application of perturbed semi-Markov processes in reliability

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Języki publikacji
EN
Abstrakty
EN
The paper is concerned with the application of perturbed semi-Markov (SM) processes in reliability problems. There are two kinds of perturbed SM processes presented in the paper. First of them was defined by Shpak and the second one was introduced by Pavlov and Ushakov. Shpak’s concept of perturbed SM is applied for calculating the approximate reliability function of many tasks operation process and Pavlov and Ushakov concept of that one is used to obtain the approximate reliability function of a repairable cold standby system with a switch.
Rocznik
Strony
179--188
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
  • Naval University, Gdynia, Poland
Bibliografia
  • [1] Barlow, R.E., Proshan, F. (1965). Mathematical theory of reliability. Wiley, New York, London, Sydney.
  • [2] Barlow, R.E. & Proschan, F. (1975). Statistical Theory of Reliability and Life Testing. Probability Models. Holt Rinehart and Winston, Inc., New York.
  • [3] Brodi, S.M., Pogosian, I.A. (1978). Embedded stochastic processes in the queue theory (in Russian). Naukova Dumka, Kiev.
  • [4] Domsta, J. & Grabski, F. (1995). The first exit of almost strongly recurrent semi-Markov process. Applicatione Mathematicae, 23, No 3, 285-304.
  • [5] Gertsbakh, I.B.(1984). Asymptotic methods in reliability theory: a review. Adv. Appl. Prob., 16, 147-175.
  • [6] Grabski, F. (2002). Semi-Markov model of reliability and operation. PAN IBS, Operation Research 30. Warszawa.(in Polish).
  • [7] Kołowrocki, K. (1993). On a Class of Limit Reliability
  • [8] Kołowrocki, K. (2004). Reliability of Large Systems. Elsevier, Amsterdam - Boston - Heidelberg - London - New York - Oxford - Paris - San Diego - San Francisco - Singapore - Sydney - Tokyo.
  • [9] Koroluk, W.S. & Turbin, A.F. (1976). Semi Markov processes and their applications. Naukova Dumka, Kiev ( in Russian ).
  • [10] Pavlov, I.V. & Ushakov, I.A. (1978). The asymptotic distribution of the time until a semiMarkov process gets out of the kernel. Engineering Cybernetics 20 (3).
  • [11] Silvestrov, D.S. (1980). Semi-Markov processes with discrete state spac. Sovietskoe Radio, Moskva, (in Russian).
  • [12] Shpak, W.D. (1971). On some approximation for calculation of a complex system reliability. Cybernetics, 10, 68-73. (in Russian).
  • [13] Ushakov, I.A. (2012). Probabilistic reliability models. Wiley.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-42b39aa3-5611-4783-8552-d6eb59da0f5d
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