Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics and Decision Sciences
Volume 2006 (2006), Article ID 34506, 11 pages
http://dx.doi.org/10.1155/JAMDS/2006/34506

New approximate solutions per unit of time for periodically checked systems with different lifetime distributions

Department of Mathematics, University of Évora, Évora 7000, Portugal

Received 26 October 2005; Revised 19 September 2006; Accepted 24 September 2006

Copyright © 2006 J. Rodrigues Dias. 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. J. A. Amaral, M. B. Rosário, and M. T. Paixão, “Data and projections of HIV and AIDS in Portugal,” Journal of Applied Statistics, vol. 27, no. 3, pp. 269–279, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  2. F. G. Badía, M. D. Berrade, and C. A. Campos, “Optimization of inspection intervals based on cost,” Journal of Applied Probability, vol. 38, no. 4, pp. 872–881, 2001. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. R. E. Barlow, L. C. Hunter, and F. Proschan, “Optimum checking procedures,” Journal of Society for Industrial and Applied Mathematics, vol. 11, no. 4, pp. 1078–1095, 1963. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. L. Dieulle, “Reliability of a system with Poisson inspection times,” Journal of Applied Probability, vol. 36, no. 4, pp. 1140–1154, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. U. Hjorth, “A reliability distribution with increasing, decreasing, constant and bathtub-shaped failure rates,” Technometrics, vol. 22, no. 1, pp. 99–107, 1980. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. T. Nakagawa and K. Yasui, “Approximate calculation of inspection policy with Weibull failure times,” IEEE Transactions on Reliability, vol. 28, no. 5, pp. 403–404, 1979. View at Google Scholar · View at Zentralblatt MATH
  7. J. Rodrigues Dias, “Influence de la période d'inspection sur les Couts dans l'inspection périodique des systêmes,” Revue de Statistique Appliquée, vol. 31, no. 4, pp. 5–15, 1983. View at Google Scholar
  8. J. Rodrigues Dias, “A new approximation for the inspection period of systems with different failure rates,” European Journal of Operational Research, vol. 45, no. 2-3, pp. 219–223, 1990. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. J. Rodrigues Dias, “Some approximate inspection policies for a system with imperfect inspections,” RAIRO Recherche Opérationnelle, vol. 24, no. 2, pp. 191–199, 1990. View at Google Scholar · View at MathSciNet
  10. J. Rodrigues Dias, “Analysis of a new method for obtaining different sampling intervals in statistical quality control,” in Actas do IV Congreso Galego de Estatística e Investigación de Operacións, pp. 155–158, University of Santiago da Compostela, Spain, 1999. View at Google Scholar
  11. J. Rodrigues Dias, “Sampling in quality control with different predetermined intervals: a new approach,” in Jornadas de Classificação e Análise de Dados (JOCLAD '02), Lisbon, 2002. View at Google Scholar
  12. J. Rodrigues Dias and P. Infante, “Parallel systems with different hazard rates: analysis of inspection periods and costs,” Pesquisa Operacional, vol. 24, no. 3, pp. 343–354, 2004. View at Publisher · View at Google Scholar
  13. S. M. Ross, Stochastic Processes, Wiley Series in Probability and Statistics: Probability and Statistics, John Wiley & Sons, New York, 2nd edition, 1996. View at Zentralblatt MATH · View at MathSciNet
  14. E. M. Saniga and L. E. Shirland, “Quality control in practice—a survey,” Quality Progress, vol. 10, no. 5, pp. 30–33, 1977. View at Google Scholar
  15. W. G. Schneeweiss, “On the mean duration of hidden faults in periodically checked systems,” IEEE Transactions on Reliability, vol. 25, no. 5, pp. 346–348, 1976. View at Google Scholar · View at Zentralblatt MATH
  16. S. H. Sheu, Y. C. Chen, W. Y. Wang, and N. H. Shin, “Economic optimization of off-line inspection with inspection errors,” Journal of the Operational Research Society, vol. 54, no. 8, pp. 888–895, 2003. View at Publisher · View at Google Scholar
  17. J. K. Vaurio, “Optimization of test and maintenance intervals based on risk and cost,” Reliability Engineering & System Safety, vol. 49, no. 1, pp. 23–36, 1995. View at Publisher · View at Google Scholar