Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2015, Article ID 419280, 8 pages
http://dx.doi.org/10.1155/2015/419280
Research Article

Parameter Estimation of a Delay Time Model of Wearing Parts Based on Objective Data

1School of Mechatronic Engineering, Southwest Petroleum University, Chengdu 610500, China
2Safety, Environment, Quality Supervision & Testing Research Institute, CCDE, Guanghan 618000, China
3School of Science, Southwest Petroleum University, Chengdu 610500, China

Received 10 June 2014; Revised 22 September 2014; Accepted 27 October 2014

Academic Editor: Wenbin Wang

Copyright © 2015 Y. Tang 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. M. Rausand, “Reliability centered maintenance,” Reliability Engineering and System Safety, vol. 60, no. 2, pp. 121–132, 1998. View at Google Scholar · View at Scopus
  2. W. Wang, “An overview of the recent advances in delay-time-based maintenance modelling,” Reliability Engineering and System Safety, vol. 106, pp. 165–178, 2012. View at Publisher · View at Google Scholar · View at Scopus
  3. A. H. Christer, “Delay-time model of reliability of equipment subject to inspection monitoring,” Journal of the Operational Research Society, vol. 38, no. 4, pp. 329–334, 1987. View at Publisher · View at Google Scholar · View at Scopus
  4. A. H. Christer and W. M. Waller, “Delay time models of industrial inspection maintenance problems,” Journal of the Operational Research Society, vol. 35, no. 5, pp. 401–406, 1984. View at Publisher · View at Google Scholar · View at Scopus
  5. A. H. Christer and D. F. Redmond, “A recent mathematical development in maintenance theory,” IMA Journal of Mathematics, vol. 2, no. 2, pp. 97–108, 1989. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. R. D. Baker and W. Wang, “Estimating the delay-time distribution of faults in repairable machinery from failure data,” IMA Journal of Management Mathematics, vol. 3, no. 4, pp. 259–281, 1991. View at Publisher · View at Google Scholar · View at Scopus
  7. R. D. Baker and W. Wang, “Developing and testing the delay-time model,” Journal of the Operational Research Society, vol. 44, no. 4, pp. 361–374, 1993. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  8. A. H. Christer and W. Wang, “A delay-time-based maintenance model of a multi-component system,” IMA Journal of Management Mathematics, vol. 6, no. 2, pp. 205–222, 1995. View at Publisher · View at Google Scholar · View at Scopus
  9. D. Wang, L. Wen, and X. S. Jia, “Maximum likelihood estimation of delay time mode,” Journal of Ordnance Engineering College, vol. 17, no. 3, pp. 33–35, 2005. View at Google Scholar
  10. H. Hu, G. Cheng, Q. Duan, W. Wu, and C. Xu, “Delay time model based on imperfect maintenance,” Journal of Xi'an Jiaotong University, vol. 43, no. 6, pp. 103–107, 2009. View at Google Scholar · View at Scopus
  11. W. Wang, “A two-stage prognosis model in condition based maintenance,” European Journal of Operational Research, vol. 182, no. 3, pp. 1177–1187, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  12. W. Wang, “An inspection model based on a three-stage failure process,” Reliability Engineering and System Safety, vol. 96, no. 7, pp. 838–848, 2011. View at Publisher · View at Google Scholar · View at Scopus
  13. W. Wang and X. S. Jia, “A Bayesian approach in delay time maintenance model parameters estimation using both subjective and objective data,” Quality Maintenance and Reliability Int, vol. 23, no. 3, pp. 95–105, 2007. View at Google Scholar
  14. S. Apeland and P. A. Scarf, “A fully subjective approach to modelling inspection maintenance,” European Journal of Operational Research, vol. 148, no. 2, pp. 410–425, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  15. W. Wang, “An inspection model for a process with two types of inspections and repairs,” Reliability Engineering and System Safety, vol. 94, no. 2, pp. 526–533, 2009. View at Publisher · View at Google Scholar · View at Scopus
  16. A. H. Christer, W. Wang, J. Sharp, and R. Baker, “A case study of modelling preventive maintenance of a production plant using subjective data,” Journal of the Operational Research Society, vol. 49, no. 3, pp. 210–219, 1998. View at Publisher · View at Google Scholar · View at Scopus
  17. W. G. Aiello and H. I. Freedman, “A time-delay model of single-species growth with stage structure,” Mathematical Biosciences, vol. 101, no. 2, pp. 139–153, 1990. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  18. A. H. Christer, C. Lee, and W. Wang, “Data deficiency based parameter estimating problem and case study in delay time PM modeling,” International Journal of Production Economics, vol. 67, no. 1, pp. 63–76, 2000. View at Publisher · View at Google Scholar · View at Scopus
  19. T. Aven and I. T. Castro, “A delay-time model with safety constraint,” Reliability Engineering and System Safety, vol. 94, no. 2, pp. 261–267, 2009. View at Publisher · View at Google Scholar · View at Scopus
  20. X. S. Jia, The Decision Models for Reliability Centered Maintenance, National Defense Industry Press, 2007.
  21. R. D. Baker, P. A. Scarf, and W. Wang, “A delay-time model for repairable machinery: maximum likelihood estimation of optimum inspection intervals,” IMA Journal of Management Mathematics, vol. 8, no. 1, pp. 83–92, 1997. View at Publisher · View at Google Scholar
  22. Z. Bačić and J. Simons, “Complex coordinate rotation calculation of branching ratios,” International Journal of Quantum Chemistry, vol. 21, no. 4, pp. 727–739, 1982. View at Google Scholar
  23. A. H. Christer, W. Wang, R. D. Baker, and J. Sharp, “Modelling maintenance practice of production plant using the delay-time concept,” IMA Journal of Management Mathematics, vol. 6, no. 1, pp. 67–83, 1995. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus