Table of Contents
Advances in Decision Sciences
Volume 2012, Article ID 289035, 14 pages
http://dx.doi.org/10.1155/2012/289035
Research Article

An Allocation Scheme for Estimating the Reliability of a Parallel-Series System

1Department of Physics, University of Science and Technology of Oran-Mohamed Boudiaf (USTOMB), BP 1505 El M'Naouer, Oran 31000, Algeria
2Department of Mathematics, University of Oran, BP 1524 El M'Naouer, Oran 31000, Algeria

Received 28 April 2012; Revised 28 July 2012; Accepted 8 October 2012

Academic Editor: Wai Ki Ching

Copyright © 2012 Zohra Benkamra 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.

Linked References

  1. D. W. Colt, “System-reliability confidence-intervals for complex-systems with estimated component-reliability,” IEEE Transactions on Reliability, vol. 46, no. 4, pp. 487–493, 1997. View at Google Scholar · View at Scopus
  2. D. A. Berry, “Optimal sampling schemes for estimating System reliability by testing components fixed sample sizes,” Journal of the American Statistical Association, vol. 69, no. 346, pp. 485–491, 1974. View at Google Scholar
  3. M. Djerdjour and K. Rekab, “A sampling scheme for reliability estimation,” Southwest Journal of Pure and Applied Mathematics, no. 2, pp. 1–5, 2002. View at Google Scholar
  4. J. Hardwick and Q. F. Stout, “Optimal few-stage designs,” Journal of Statistical Planning and Inference, vol. 104, no. 1, pp. 121–145, 2002. View at Publisher · View at Google Scholar · View at Scopus
  5. C. F. Page, “Allocation proportional to coefficients of variation when estimating the product of parameters,” Journal of the American Statistical Association, no. 412, pp. 1134–1139, 1990. View at Google Scholar
  6. M. Terbeche and O. Broderick, “Two stage design for estimation of mean difference in the exponential family,” Advances and Applications in Statistics, vol. 5, no. 3, pp. 325–339, 2005. View at Google Scholar
  7. M. Woodroofe and J. Hardwick, “Sequential allocation for an estimation problem with ethical costs,” Annals of Statistics, vol. 18, no. 3, pp. 1358–1377, 1990. View at Google Scholar
  8. J. P. Hardwick and Q. F. Stout, “Optimal allocation for estimating the mean of a bivariate polynomial,” Sequential Analysis, vol. 15, pp. 71–90, 1996. View at Google Scholar
  9. K. Rekab, “Sampling scheme for estimating the reliability of a series system,” IEEE Transactions on Reliability, vol. 42, no. 2, pp. 287–290, 1993. View at Publisher · View at Google Scholar · View at Scopus
  10. Z. Benkamra, M. Terbeche, and M. Tlemcani, “Procédures d'échantillonnage efficaces. Estimation de la fiabilité des systèmes séries/parallèles,” Revue ARIMA, vol. 13, pp. 119–133, 2010. View at Google Scholar
  11. Z. Benkamra, M. Terbeche, and M. Tlemcani, “Tow stage design for estimating the reliability of series/parallel systems,” Mathematics and Computers in Simulation, vol. 81, no. 10, pp. 2062–2072, 2011. View at Publisher · View at Google Scholar · View at Scopus