Table of Contents
Journal of Quality and Reliability Engineering
Volume 2014, Article ID 971489, 11 pages
http://dx.doi.org/10.1155/2014/971489
Research Article

A Load-Share Reliability Model under the Changeable Piecewise Smooth Load

Department of Control, Automation and System Analysis, St.Petersburg State Forest Technical University, Institutsky per. 5, 194021 St.Petersburg, Russia

Received 11 May 2014; Revised 27 August 2014; Accepted 1 September 2014; Published 11 September 2014

Academic Editor: Luigi Portinale

Copyright © 2014 Sergey V. Gurov and Lev V. Utkin. 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. P. H. Kvam and E. A. Peña, “Estimating load-sharing properties in a dynamic reliability system,” Journal of the American Statistical Association, vol. 100, no. 469, pp. 262–272, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. M. Meldorf, Ü. Treufeldt, and J. Kilter, “Temperature dependency of electrical network load,” Oil Shale, vol. 24, no. 2, pp. 237–247, 2007. View at Google Scholar · View at Scopus
  3. E. Valor, V. Meneu, and V. Caselles, “Daily air temperature and electricity load in Spain,” Journal of Applied Meteorology, vol. 40, no. 8, pp. 1413–1421, 2001. View at Publisher · View at Google Scholar · View at Scopus
  4. M. Tanrioven and M. S. Alam, “Reliability modeling and assessment of grid-connected PEM fuel cell power plants,” Journal of Power Sources, vol. 142, no. 1-2, pp. 264–278, 2005. View at Publisher · View at Google Scholar · View at Scopus
  5. H. E. Daniels, “The statistical theory of the strength of bundles of threads,” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 183, pp. 405–435, 1945. View at Publisher · View at Google Scholar · View at MathSciNet
  6. M. Bebbington, C. Lai, and R. Zitikis, “Reliability of modules with load-sharing components,” Journal of Applied Mathematics and Decision Sciences, vol. 2007, Article ID 43565, 18 pages, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. J. V. Deshpande, I. Dewan, and U. V. Naik-Nimbalkar, “A family of distributions to model load sharing systems,” Journal of Statistical Planning and Inference, vol. 140, no. 6, pp. 1441–1451, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  8. S. Lee, S. Durham, and J. Lynch, “On the calculation of the reliability of general load sharing systems,” Journal of Applied Probability, vol. 32, no. 3, pp. 777–792, 1995. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. H. Kim and P. H. Kvam, “Reliability estimation based on system data with an unknown load share rule,” Lifetime Data Analysis, vol. 10, no. 1, pp. 83–94, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. J. D. Lynch, “On the joint distribution of component failures for monotone load-sharing systems,” Journal of Statistical Planning and Inference, vol. 78, no. 1-2, pp. 13–21, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  11. S. M. Ross, “A model in which component failure rates depend on the working set,” Naval research logistics quarterly, vol. 31, no. 2, pp. 297–300, 1984. View at Publisher · View at Google Scholar · View at Scopus
  12. J. Shao and L. R. Lamberson, “Modeling a shared-load k-out-of-n:g system,” IEEE Transactions on Reliability, vol. 40, no. 2, pp. 205–209, 1991. View at Publisher · View at Google Scholar · View at Scopus
  13. C. Stefanescu and B. W. Turnbull, “Multivariate frailty models for exchangeable survival data with covariates,” Technometrics, vol. 48, no. 3, pp. 411–417, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. K. Yang and H. Younis, “A semi-analytical Monte Carlo simulation method for system's reliability with load sharing and damage accumulation,” Reliability Engineering and System Safety, vol. 87, no. 2, pp. 191–200, 2005. View at Publisher · View at Google Scholar · View at Scopus
  15. C. Park, “Parameter estimation for the reliability of load-sharing systems,” IIE Transactions (Institute of Industrial Engineers), vol. 42, no. 10, pp. 753–765, 2010. View at Publisher · View at Google Scholar · View at Scopus
  16. C. Park, “Parameter estimation from load-sharing system data using the expectation-maximization algorithm,” IIE Transactions, vol. 45, no. 2, pp. 147–163, 2013. View at Publisher · View at Google Scholar · View at Scopus
  17. B. Singh and P. K. Gupta, “Load-sharing system model and its application to the real data set,” Mathematics and Computers in Simulation, vol. 82, no. 9, pp. 1615–1629, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  18. V. Volovoi, “Universal failure model for multi-unit systems with shared functionality,” Reliability Engineering and System Safety, vol. 119, pp. 141–149, 2013. View at Publisher · View at Google Scholar · View at Scopus
  19. S. V. Gurov and L. V. Utkin, “Load-share reliability models with the piecewise constant load,” International Journal of Reliability and Safety, vol. 6, no. 4, pp. 338–353, 2012. View at Publisher · View at Google Scholar · View at Scopus
  20. S. V. Gurov and L. V. Utkin, “A continuous extension of a load-share reliability model based on a condition of the residual lifetime conservation,” European Journal of Industrial Engineering, vol. 8, no. 3, pp. 349–365, 2014. View at Publisher · View at Google Scholar · View at Scopus