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Applications of semi-Markov processes in reliability

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The basic definitions and theorems from the semi-Markov processes theory are discussed in the paper. The semi-Markov processes theory allows us to construct the models of the reliability systems evolution within the time frame. Applications of semi-Markov processes in reliability are considered. Semi-Markov model of the cold standby system with repair, semi-Markov process as the reliability model of the operation with perturbations and semi-Markov process as a failure rate are presented in the paper.
Rocznik
Tom
Strony
127--142
Opis fizyczny
Bibliogr. 13 poz., rys., wykr.
Twórcy
autor
  • Naval University, Gdynia, Poland
Bibliografia
  • [1] Barlow, R. E. & Proshan, F. (1975). Statistical theory of reliability and life testing. Holt, Reinhart and Winston Inc. New York.
  • [2] Brodi, S. M. & Pogosian, I. A. (1973). Embedded stochastic processes in queuing theory. Kiev, Naukova Dumka.
  • [3] Cinlar, E. (1969). Markov renewal theory. Adv. Appl. Probab.1, No 2, 123-187.
  • [4] Grabski, F. (2002). Semi-Markov models of reliability and operation. IBS PAN, v. 30. Warszawa.
  • [5] Grabski, F. & Kołowrocki, K. (1999). Asymptotic reliability of multistate systems with semi-Markov states of components. Safety and Reliability, A.A. Balkema, Roterdam, 317-322.
  • [6] Grabski, F. (2003). The reliability of the object with semi-Markov failure rate. Applied Mathematics and Computation, Elsevier.
  • [7] Grabski, F. & Jaźwiński, J. (2003). Some problems of the transport system modelling. ITE.
  • [8] Grabski, F. (2005). Reliability model of the multi-stage operation. Advances in Safety and Reliability. Kołowrocki (ed.). Taylor & Fracis Group, London. ISBN 0 415 38340 4, 701-707.
  • [9] Grabski, F. (2006). Random failure rate process. Submitted for publication in Applied Mathematics and Computation.
  • [10] Grabski, F. (2006). Semi-Markov Model of an Operation. International Journal of Materials & Structural Reliability. V. 4, 99-113.
  • [11] Kopocińska, I. & Kopociński, B. (1980). On system reliability under random load of elements. Aplicationes Mathematicae, XVI, 5-15.
  • [12] Korolyuk, V. S. & Turbin, A.F. Semi-Markov processes end their applications, Naukova Dumka, Kiev.
  • [13] Limnios, N. & Oprisan, G. (2001). Semi-Markov Processes and Reliability. Boston, Birkhauser.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-114cc831-f34d-4ff5-a6c8-feb82dedc829
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