Abstract
In this paper, an inspection strategy is proposed for systems subject to random shocks and whose state is only known through inspection. The shocks magnitudes and times between shocks arrivals are random variables. Each shock induces an amount of damage to the system which is gradually weakened as damage accumulates. The system fails when the total damage exceeds some threshold level. The proposed inspection strategy suggests to inspect the system at predetermined times T1, T2,...T k . If failure is detected, then the system is repaired to a state as good as new, otherwise, it is kept operating. The expression of the system availability is derived. A numerical procedure is developed to generate an inspection sequence which maximizes the system availability. The proposed strategy has been developed for some critical subsystems of trees harvesters. An illustrative example is provided.
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References
Ayad El Rhalmi. (2007). Contribution à l’amélioration de la sécurité et de la disponibilité des abatteuses façonneuses», Master Thesis. Canada: Department of Mechanical Engineering, Québec: Laval University.
Barlow R.E., Hunter L.C., Proschan F. (1963) Optimum checking procedures. Journal of Society Industrial & Applied Mathematics 4: 1078–1095
Chelbi A., Aït-Kadi D. (1999) An optimal inspection strategy for randomly failing equipment. Reliability Engineering and Systems Safety 63: 127–131
Chelbi, A., & Aït-Kadi, D. (2009). Optimal inspection strategies for randomly failing systems. In Handbook of maintenance management and engineering, Chapter 13. Springer (to appear).
Çinlar E. (1975) Introduction to stochastic processes. New Jersey, Prentice Hall
Cléroux R., McConalogue D.J. (1976) A numerical algorithm for recursively-defined convolution integrals involving distribution function. Management Science 22(10): 1138–1146
Dieulle, L., Berenguer, C., Grall, A., & Roussignol, M. (2001). Continuous time predictive maintenance scheduling for a deteriorating system. In 2001 Proceedings of the Annual Reliability and Maintainability Symposium (pp.150–155). ISBN: 9780780366152.
Kuntz P.A., Christie R.D., Venkata S.V. (2001) A reliability centered optimal visual inspection model for distribution feeders. IEEE Transactions on Power Delivery 16(4): 718–723
Nakagawa T. (1976) On a replacement problem of a cumulative damage model. Journal of Operational Research Society 2: 895–900
Wortman M.A., Klutke G.-A., Ayhan H. (1994) A maintenance strategy for systems subjected to deterioration governed by random shocks. IEEE Transactions on Reliability 43(3): 439–445
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Aït-Kadi, D., Chelbi, A. Inspection strategy for availability improvement. J Intell Manuf 21, 231–235 (2010). https://doi.org/10.1007/s10845-008-0192-3
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DOI: https://doi.org/10.1007/s10845-008-0192-3