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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 741275, 6 pages
Availability of a Periodically Inspected System Maintained through Several Minimal Repairs before a Replacement or a Perfect Repair
School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China
Received 13 April 2013; Accepted 2 June 2013
Academic Editor: Luca Guerrini
Copyright © 2013 Jun Yang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- R. E. Barlow and F. Proschan, Statistical Theory of Reliability and Life Testing, Holt, Rinehart and Winston, New York, NY, USA, 1975.
- J. Sarkar and S. Sarkar, “Availability of a periodically inspected system under perfect repair,” Journal of Statistical Planning and Inference, vol. 91, no. 1, pp. 77–90, 2000.
- L. Cui and M. Xie, “Availability of a periodically inspected system with random repair or replacement times,” Journal of Statistical Planning and Inference, vol. 131, no. 1, pp. 89–100, 2005.
- L. Cui, X. Zhao, J. Shen, and Y. Xu, “An availability model for storage products under periodical inspections,” International Journal of Reliability, Quality and Safety Engineering, vol. 17, no. 2, pp. 89–103, 2010.
- L. Cui, S. Du, and A. G. Hawkes, “A study on a single-unit repairable system with state aggregations,” IIE Transactions, vol. 44, pp. 1022–1032, 2012.
- M. Brown and F. Proschan, “Imperfect repair,” Journal of Applied Probability, vol. 20, no. 4, pp. 851–859, 1983.
- J.-L. Bon and E. Păltănea, “Convergence of the number of failed components in a Markov system with nonidentical components,” Journal of Applied Probability, vol. 38, no. 4, pp. 882–897, 2001.
- L. Cui and M. Xie, “Availability analysis of periodically inspected systems with random walk model,” Journal of Applied Probability, vol. 38, no. 4, pp. 860–871, 2001.
- S. Bloch-Mercier, “Monotone Markov processes with respect to the reversed hazard rate ordering: an application to reliability,” Journal of Applied Probability, vol. 38, no. 1, pp. 195–208, 2001.
- P. C. Kiessler, G.-A. Klutke, and Y. Yang, “Availability of periodically inspected systems subject to Markovian degradation,” Journal of Applied Probability, vol. 39, no. 4, pp. 700–711, 2002.
- J. P. Kharoufeh, D. E. Finkelstein, and D. G. Mixon, “Availability of periodically inspected systems with Markovian wear and shocks,” Journal of Applied Probability, vol. 43, no. 2, pp. 303–317, 2006.
- H. Wang and H. Pham, “Availability and maintenance of series systems subject to imperfect repair and correlated failure and repair,” European Journal of Operational Research, vol. 174, no. 3, pp. 1706–1722, 2006.
- E. Frostig and M. Kenzin, “Availability of inspected systems subject to shocks–-a matrix algorithmic approach,” European Journal of Operational Research, vol. 193, no. 1, pp. 168–183, 2009.
- N. Ebrahimi, “The mean function of a repairable system that is subjected to an imperfect repair policy,” IIE Transactions, vol. 41, no. 1, pp. 57–64, 2009.
- A. Biswas and J. Sarkar, “Availability of a system maintained through several imperfect repairs before a replacement or a perfect repair,” Statistics & Probability Letters, vol. 50, no. 2, pp. 105–114, 2000.
- D. Yu, X. Yan, and G. Y. Li, “The fiducial inference for repaired as old Weibull distributed systems,” Chinese Journal of Applied Probability and Statistics, vol. 20, no. 2, pp. 197–206, 2004.