Stochastic ageing models : extensions of the classic renewal theory

• Autorzy: Briš R.
• Języki publikacji: EN

Abstrakty

EN

Exact knowledge of the reliability characteristics as the time dependent unavailability coefficient for example, under influence of different ageing processes as well as under different failure types is very useful to the practitioners who have to find the optimal maintenance policy for their equipment. In this paper found models and their solutions have potential to face the optimisation task under the conflicting issues of safety and economics. Most of the solved models take into account ageing processes. An increasing tendency lately exists to include aging effects into the risk assessment models to evaluate its contribution. We developed different renewal models taking into account different ageing distributions of failures (Weibull, Erlang, log-normal): models with negligible renewal time, models with periodical preventive maintenance, alternating renewal process with lognormal distribution of failure time, and with two types of failures.

Słowa kluczowe

EN

renewal theory; alternating renewal theory; maintenance processes; ageing; unavailability coefficient

• Wydawca: Polskie Towarzystwo Bezpieczeństwa i Niezawodności
• Czasopismo: Journal of Polish Safety and Reliability Association
• Rocznik: 2007
• Tom: Vol. 1
• Strony: 29--38
• Opis fizyczny: Bibliogr. 8 poz., wykr.

Twórcy

autor

Briš R.

• VŠB Technical University of Ostrava, Czech Republic

Bibliografia

• [1] Aldemir, T. (2004). Characterization of time dependent effects due to ageing. Proc. of the Kick off meeting, JRC Network on Incorporating Ageing Effects into PSA Applications, European Commission, DG JRC – Institute for Energy, Nuclear Safety Unit, Probabilistic Risk & Availability Assessment Sector. Edited by M. Patrik and C. Kirchsteiger.
• [2] Aven, T. & Jensen, U. (1999). Stochastic models in reliability. Springer-Verlag , ISBN 0-387-98633-2.
• [3] Barlow, R. & Proschan, F. (1965). Mathematical Theory of Reliability. Wiley.
• [4] Bartlett, M.S. (1970). Renewal Theory. Meten & Co. Ltd. Science paperbacks, ISBN 412 20570 X.
• [5] Briš, R., Châtelet, E. & Yalaoui, F. (2003). New method to minimize the preventive maintenance cost of series–parallel systems. In Reliability Engineering & System Safety, ELSEVIER, Vol. 82, Issue 3, p.247-255.
• [6] Briš, R. & Čepin, M. (2006). Stochastic ageing models under two types of failures. Proc. of the 31st ESReDA SEMINAR on Ageing, Smolenice Castle, Slovakia.
• [7] Gertsbakh, I.B. Asymptotic methods in reliability: A review. Adv. Appl. Prob. 16, 147-175.
• [8] Pyke, R. Markov renewal processes: Definitions and preliminary properties. Ann Math Statist 32, 1231-1242.