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Non-renewal multistate system with Semi-Markov components

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Języki publikacji
EN
Abstrakty
EN
The paper deals with non-renewal multistate monotone systems consisting of multistate components which are modeled by the semi-Markov processes. In the case of a non-renewal system the multistate reliability functions of the system components and the whole system are discussed. All presented concepts and models are illustrated by simple numerical examples.
Rocznik
Strony
63--70
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
  • Naval University, Gdynia, Poland
Bibliografia
  • [1] Aven, T. (1985). Relibility evaluation of multistate systems with multistate components. IEEE Transactions on Reliability 34(2): 463-472.
  • [2] Barlow, R.E. & Proshan, F. (1975) . Statistical theory of reliability and life testing. New York; Holt, Rinchart and Winston, Inc.
  • [3] Block, H.W. & Savits, T.H. (1982). A decomposition for multistate monotone systems. Jouranal of Applied Probability 19:2:391-402.
  • [4] Grabski, F. (2002). Semi-Markov models of reliability and operation. Warsaw : IBS PAN (in Polish).
  • [5] Grabski, F. (2014). Semi-Markov Processes: Applications in Systems Reliability and Maintenance. Elsevier (in the preparation).
  • [6] Grabski, F. & Kołowrocki. K. (1999). Asymptotic Reliability of Multistate System with semi-Markov states of components. Proc. of the European Conference on Safety and Reliability - ESREL’99 317-322.
  • [7] Kołowrocki, K. (2001). On limit reliability functions of large multi-state systems with ageing components. Applied Mathematics and Computation 121, 313-361.
  • [8] Kołowrocki, K. (2004). Reliability of Large Systems. Elsevier.
  • [9] Kołowrocki, K. & Soszyńska-Budny, J. (2011). Asymptotic approach to reliability of large complex systems. Electronic Journal Reliability: Theory & Applications 2(4), 103-128.
  • [10] Krolyuk, V.S. & Turbin, A.F. (1976). SemiMarkov processes and their applications. Kiev Naukova Dumka (in Russian).
  • [11] Korolyuk, V.S. & Turbin, A.F. (1982). Markov Renewal Processes in Problems of Systems Reliability. Kiev; Naukova Dumka (in Russian).
  • [12] Korolyuk, V.S. & Turbin, A.F. (1993). Decompositions of Large Scale Systems. Singapore; Kluwer Academic.
  • [13] Korczak, E. (1997). Reliability analisis of nonrepaired multistste systems. Advances in Safety and Reliability: ESREL’97 2213-2220.
  • [14] Lisnianski, A. & Frankel, I. (2009). NonHomogeneous Markov Reward Model for an Ageing Multi-State System under Minimal Repair. International Journal of Performability Engineering 4,5: 303-312.
  • [15] Limnios, N. & Oprisan, G. (2001). Semi-Markov Processes and Reliability. Boston; Birkhauser.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-6065924d-8ed5-4bc1-aefb-1854b142ecec
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