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Semi-Markov model of system damage process

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Języki publikacji
EN
Abstrakty
EN
The reliability characteristics and parameters of multi-state systems modelled by the finite states regress characteristics and parameters of multi-state systems modelled by the finite states regress semi-Markov processes are investigated in the paper. Presented here models deal with un-repairable systems. The essential concepts of discrete states and continuous time semi-Markov process theory deliver. Mathematical apparatus for models constructions and analysis. Multi-state reliability functions and corresponding expectations, second moments and standard deviations are calculated for the presented systems.
Słowa kluczowe
Rocznik
Strony
101--108
Opis fizyczny
Bibliogr. 14 poz., wykr.
Twórcy
autor
  • Departament of Mathematics and Physics, Polish Naval University, Poland
Bibliografia
  • [1] Aven, T. (1985). Reliability evaluation of multistate systems with multistate components. IEEE Transactions on Reliability, 34(2): 463-472.
  • [2] Barlow, R.E. & Proschan, F. (1975). Statistical Theory of Reliability and Life Testing. Probability Models. Holt Rinehart and Winston, Inc., New York.
  • [3] Feller, W. (1964). On semi-Markov prcesses. Proc. Nat. Acad. Sci. USA, 51, No 4, 653-659.
  • [4] Grabski, F. (2002). Semi-Markov models of reliability and operation. Warszawa, IBS PAN, 2002, (in Polish)
  • [5] Kołowrocki, K. (1993). On a Class of Limit Reliability Functions for Series-Parallel and Parallel-Series Systems. Monograph. Maritime University Press, Gdynia.
  • [6] Kołowrocki, K. (2004). Reliability of Large Systems. Elsevier, Amsterdam - Boston - Heidelberg - London - New York - Oxford - Paris - San Diego - San Francisco - Singapore - Sydney - Tokyo.
  • [7] Korolyuk, V.S. & Turbin, A.F. (1976). SemiMarkov Processes and Their Applications. Naukova Dumka, Kiev, (in Russian).
  • [8] Korolyuk, V.S. & Turbin, A.F. (1982). Markov Renewal Processes in Reliability Problems. Naukova Dumka, Kiev, (in Russian).
  • [9] Limnios, N. & Oprisian, G. (2001) Semi-Markov Procesess and Reliability. Birkhauser, Boston, Basel, Berlin.
  • [10] Lisnianski, A. & Frankel, I. (2009). NonHomogeneous Markov Reward Model for Aning Multi-State System under Minimal Repair. International Journal of Performability Engineering, 4, 5, 303-312.
  • [11] Lisnianski, A. & Levitin, G. (2003). Multi-State System Reliliability. Assesment, Optimization and Applications. World Scientic, NJ, London, Sigapore.
  • [12] Silvestrov, D.C. (1980). Semi-Markov processes with a discrete state space. Sovetskoe Radio, Moskov. (in Russian).
  • [13] Soszyńska, J. (2005). Reliability of Large seriesparallel system in variable operation conditions., Proc. Proc. International Conference ESREL’05, Advances in Safety and Reliability, A. A. Balkema, Vol. 2, Tri City, 2005, 1869-1876.
  • [14] Soszyńska, J. (2006). Asymptotic approach to reliability evaluation of large systems in variable operation conditions. MASSEE International Congress on Mathematics - MICOM 2006, Paphos, Abstracts, Cyprus, 122.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-2a8872eb-fa80-4c89-80bc-8aa4053328ea
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