Availability Research on K-out-of-N: G Systems with Repair Time Omission

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Abstract:

Based on some practical problems in maintenance, a new model for K-out-of-N Markov repairable systems is introduced in this paper. The model focuses on that repair times that are sufficiently short (less than some threshold value) do not affect the system operation. We can say that such a repair time is omitted from the downtime record, and the system can be considered as being operating during this repair time. A model is built in which the threshold value is regarded as a constant at first. And then the model is generalized to allow the threshold value to be a non-negative random variable. Both instantaneous availability and steady-state availability are calculated for these new models as reliability indices. Some numerical examples are presented to verify the validity of these models.

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Periodical:

Advanced Materials Research (Volumes 118-120)

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342-347

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Online since:

June 2010

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© 2010 Trans Tech Publications Ltd. All Rights Reserved

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[1] T. Zhang, X.Y. Wu, B. Guo and Y.J. Tan: Operational availability model for repairable system under (m, �G) maintenance policy. Journal of systems engineering (2007).

Google Scholar

[2] S.R. Chakravarthy: Analysis of a k-out-of-� system with spares, repairs, and a probabilistic rule. Journal of Applied Mathematics and Stochastic Analysis (2006).

Google Scholar

[3] M.S. Moustafa: Availability of k-out-of-n: G System with M Failure Modes. Microelectronics Reliability (1996).

Google Scholar

[4] B.B. Fawzi, A.G. Hawkes: Availability of an R out of � system with spares and repairs. Journal of Application Probability (1991).

Google Scholar

[5] T.L. Zhang: Availability of 3-out-of-4: G Warm Standby System. IEICE TRANS (2000).

Google Scholar

[6] E. Frostig, B. Levikson: On the availability of R out of � repairable systems. Naval Research Logistics (2002).

DOI: 10.1002/nav.10025

Google Scholar

[7] Y. Barron, E. Frostig and B. Levikson: Analysis of R out of � systems with several repairmen, exponential life times and phase type repair times: An algorithmic approach. European Journal of Operational Research (2006).

DOI: 10.1016/j.ejor.2004.06.005

Google Scholar

[8] S.R. Chakravarthy, A. Gómez-Corral: The influence of delivery times on repairable k-out-of-� systems with spares. Applied Mathematical Modelling (2009).

DOI: 10.1016/j.apm.2008.07.007

Google Scholar

[9] A. Khatab, N. Nahas and M. Nourelfath: Availability of K-out-of-�: G systems with non-identical components subject to repair priorities. Reliability Engineering & System safety (2009).

DOI: 10.1016/j.ress.2008.02.017

Google Scholar

[10] Z.Y. Jia, R. Kang, N.C. Wang and X.N. Sun: Complicated Mission Success Modeling of the Partially Repairable System. The Proceedings of 2009 8th International Conference on Reliability, Maintainability and Safety (2009).

DOI: 10.1109/icrms.2009.5270199

Google Scholar

[11] Z.H. Zheng, L.R. Cui and A. G. Hawkes: A Study on a Single-Unit Markov Repairable System with Repair Time Omission. IEEE Transaction on Reliability (2006).

DOI: 10.1109/tr.2006.874933

Google Scholar

[12] H.X. Li, X.Y. Meng and N. Li. An availability analysis of series repairable system with repair time omission. Journal of Yanshan University (2007).

Google Scholar

[13] Y. Pang, H.Z. Huang, Y. Liu, Q. Miao and Z.L. Wang. Reliability Analysis of a Repairable Parallel System with Repair Time Omission. The Proceedings of 2009 8th International Conference on Reliability, Maintainability and Safety (2009).

DOI: 10.1109/icrms.2009.5270242

Google Scholar

[14] Cao Jinhua, Cheng Kan. Introduntion of Reliability Mathematics (Higher Education Press, Beijing 2006).

Google Scholar