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Warianty tytułu
Języki publikacji
Abstrakty
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
Tom
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