Table of Contents Author Guidelines Submit a Manuscript
Discrete Dynamics in Nature and Society
Volume 2016 (2016), Article ID 3175269, 9 pages
http://dx.doi.org/10.1155/2016/3175269
Research Article

Availability Equivalence Analysis of a Repairable Multistate Parallel-Series System with Different Performance Rates

1College of Science, Yanshan University, Qinhuangdao 066004, China
2School of Economics and Management, Yanshan University, Qinhuangdao 066004, China

Received 23 March 2016; Accepted 8 May 2016

Academic Editor: Filippo Cacace

Copyright © 2016 Linmin Hu 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. L. Råde, Reliability Equivalence: Studies in Statistical Quality Control and Reliability, Mathematical Statistics, Chalmers University of Technology, 1989.
  2. L. Råde, “Reliability equivalence,” Microelectronics Reliability, vol. 33, no. 3, pp. 323–325, 1993. View at Publisher · View at Google Scholar · View at Scopus
  3. L. Råde, “Reliability survival equivalence,” Microelectronics Reliability, vol. 33, no. 6, pp. 881–894, 1993. View at Publisher · View at Google Scholar · View at Scopus
  4. A. M. Sarhan, “Reliability equivalence of independent and non-identical components series systems,” Reliability Engineering and System Safety, vol. 67, no. 3, pp. 293–300, 2000. View at Publisher · View at Google Scholar · View at Scopus
  5. A. M. Sarhan, “Reliability equivalence with a basic series/parallel system,” Applied Mathematics and Computation, vol. 132, no. 1, pp. 115–133, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  6. A. M. Sarhan, “Reliability equivalence factors of a bridge network system,” International Journal of Reliability and Applications, vol. 2, no. 1, pp. 81–103, 2004. View at Google Scholar
  7. A. M. Sarhan, “Reliability equivalence factors of a general series-parallel system,” Reliability Engineering and System Safety, vol. 94, no. 2, pp. 229–236, 2009. View at Publisher · View at Google Scholar · View at Scopus
  8. M. Montaser and A. M. Sarhan, “Reliability equivalence of a parallel system with non-identical components,” International Mathematical Forum, vol. 3, no. 34, pp. 1693–1712, 2008. View at Google Scholar
  9. Y. Xia and G. Zhang, “Reliability equivalence factors in gamma distribution,” Applied Mathematics and Computation, vol. 187, no. 2, pp. 567–573, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  10. A. Mustafa, “Reliability equivalence of some systems with mixture Weibull failure rates,” African Journal of Mathematics and Computer Science Research, vol. 2, no. 1, pp. 6–13, 2009. View at Google Scholar
  11. T. K. Pogány, V. Tomas, and M. Tudor, “Hot duplication versus survivor equivalence in Gamma-Weibull distribution,” Journal of Statistics Applications & Probability, vol. 2, no. 1, pp. 1–10, 2013. View at Publisher · View at Google Scholar
  12. A. I. Shawky, Y. H. Abdelkader, and M. I. Al-Ohally, “Reliability equivalence factors in exponentiated exponential distribution,” WULFENIA Journal, vol. 20, no. 3, pp. 75–85, 2013. View at Google Scholar
  13. L. Hu, D. Yue, and D. Zhao, “Availability equivalence analysis of a repairable series-parallel system,” Mathematical Problems in Engineering, vol. 2012, Article ID 957537, 15 pages, 2012. View at Publisher · View at Google Scholar
  14. A. M. Sarhan and A. Mustafa, “Availability equivalence factors of a general repairable series-parallel system,” International Journal of Reliability and Applications, vol. 14, no. 1, pp. 11–26, 2013. View at Google Scholar
  15. A. Mustafa and A. M. Sarhan, “Availability equivalence factors of a general repairable parallel-series system,” Applied Mathematics, vol. 5, no. 11, pp. 1713–1723, 2014. View at Publisher · View at Google Scholar
  16. A. Lisnianski and G. Levitin, Multi-State System Reliability: Assessment, Optimization and Applications, vol. 6 of Series on Quality, Reliability and Engineering Statistics, World Scientific Publishers, Singapore, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  17. Y. Liu and H.-Z. Huang, “Reliability assessment for fuzzy multi-state systems,” International Journal of Systems Science. Principles and Applications of Systems and Integration, vol. 41, no. 4, pp. 365–379, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  18. G. Levitin, Universal Generating Function and Its Application, Springer, Berlin, Germany, 2005.
  19. W. Wu and Y. Tang, “Transient analysis of a k-out-of-n:G system with N-policy, repairmen's multiple vacations, and redundant dependency,” Discrete Dynamics in Nature and Society, vol. 2015, Article ID 209653, 13 pages, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  20. Y. Liu and H. Zheng, “Study on reliability of warm standby's repairable system with n identity units and k repair facilities,” Journal of Wenzhou University, vol. 31, no. 3, pp. 24–29, 2010. View at Google Scholar
  21. J. Gu and Y. Wei, “Reliability quantities of an n-unit cold standby repairable system with two repair facility,” Journal of Gansu Lianhe University, vol. 20, no. 2, pp. 17–20, 2006. View at Google Scholar