Attempts at calculating chosen contributors with regard to the Semi- Markov process and the Weibull function distribution

• Autorzy: Zajac M. , Kierzkowski A.
• Języki publikacji: EN

Abstrakty

EN

The main aim of this article is the presentation of the way of making calculation with the application of the semi-Markov processes, with the continuous time t, where non-exponential distribution function is going to be applied. These type of calculations were published but the time there was approaching infinity. Engineering practice proves that the lack of solutions of this issue leads to obtainment of solutions that are encumbered with errors. This article is the first attempt of the error analysis.

Słowa kluczowe

EN

Semi Markov process; exponential distribution; availability; transient probabilities

• Wydawca: Polskie Towarzystwo Bezpieczeństwa i Niezawodności
• Czasopismo: Journal of Polish Safety and Reliability Association
• Rocznik: 2011
• Tom: Vol. 2, No. 1
• Strony: 217--222
• Opis fizyczny: Bibliogr. 11 poz., rys., tab., wykr.

Twórcy

autor

Zajac M.

• Wroclaw University of Technology, Wroclaw, Poland

autor

Kierzkowski A.

• Wroclaw University of Technology, Wroclaw, Poland

Bibliografia

• [1] Barbu, V. & Limnios, N. (2008). Semi-Markov chains and hidden Semi-Markov models. Toward applications. Lecture notes in statistics, vol. 191, Springer.
• [2] Chryssaphinou, O., Limnios, N. & Malefaki, S. (2010). Multi-state reliability systems under discrete time Semi-Markovian hypothesis. IEEE TR.
• [3] Grabski, F. & Jazwinski, J. (2003). Some problems of transportation system modeling, Polish Publishing Association.
• [4] Grabski, F. (2002). Semi Markov models of reliability and maintenance (in polish). Polish Academy of Sciences, System Research Institute.
• [5] Limnios, N. (2003). Empirical estimators of reliability and related functions for Semi-Markov systems. Lindqvist B., Kjell A. D.: Mathematical and statistical methods in Reliability. World Scientific Publishing Co. Ltd.
• [6] Limnios, N. (2011). Reliability measures of SemiMarkov systems with General State Space. Methodology and Computing in applied probability. Springer Verlag.
• [7] Lisnianski, A. & Levitin, G. (2003). Multi-state system reliability. World Scientific.
• [8] Valis, D., Vintr, Z. & Koucky, M. (2010). Maintenance optimization of k-out-of-n systems based on costs. Proc. of the European Safety and Reliability Conference, ESREL 2010 – Reliability, Risk and Safety: Back to the Future Taylor & Francis Group.
• [9] Zajac, M. (2006). Application of five-phases model of reliability of combined transportation system. Proc. of the European Safety and Reliability Conference ESREL 2006, Reliability, Risk and Safety: Back to the Future Taylor & Francis Group.
• [10] Zajac, M. (2007). Reliability model of intermodal transport system. PhD thesis (in polish), Wroclaw University of Technology.
• [11] Zajac, M. & Budny, T. (2009). On determination of some characteristics of Semi-Markov process for different distributions of transient probabilities. R&RATA, 2(13).