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Comparisons of policies based on relevation and replacement by a new one unit in reliability

Author

Listed:
  • Félix Belzunce

    (Universidad de Murcia)

  • Carolina Martínez-Riquelme

    (Universidad de Murcia)

  • José A. Mercader

    (Universidad Politécnica de Cartagena)

  • José M. Ruiz

    (Universidad de Murcia)

Abstract

The purpose of this paper is to study the role of the relevation transform, where a failed unit is replaced by a used unit with the same age as the failed one, as an alternative to the policy based on the replacement by a new one. In particular, we compare the stochastic processes arising from a policy based on the replacement of a failed unit by a new one and from the one in which the unit is being continuously subjected to a relevation policy. The comparisons depend on the aging properties of the units under repair.

Suggested Citation

  • Félix Belzunce & Carolina Martínez-Riquelme & José A. Mercader & José M. Ruiz, 2021. "Comparisons of policies based on relevation and replacement by a new one unit in reliability," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 211-227, March.
    • Handle: RePEc:spr:testjl:v:30:y:2021:i:1:d:10.1007_s11749-020-00710-6
    DOI: 10.1007/s11749-020-00710-6
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    References listed on IDEAS

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    1. Erhard Cramer & Udo Kamps, 2003. "Marginal distributions of sequential and generalized order statistics," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 58(3), pages 293-310, December.
    2. MERCIER, Sophie & CASTRO, I.T., 2019. "Stochastic comparisons of imperfect maintenance models for a gamma deteriorating system," European Journal of Operational Research, Elsevier, vol. 273(1), pages 237-248.
    3. Navarro, Jorge & Arriaza, Antonio & Suárez-Llorens, Alfonso, 2019. "Minimal repair of failed components in coherent systems," European Journal of Operational Research, Elsevier, vol. 279(3), pages 951-964.
    4. Laurence A. Baxter, 1982. "Reliability applications of the relevation transform," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(2), pages 323-330, June.
    5. Félix Belzunce & Eva-María Ortega & José Ruiz, 2005. "A note on replacement policy comparisons from NBUC lifetime of the unit," Statistical Papers, Springer, vol. 46(4), pages 509-522, October.
    6. Zhao, Xufeng & Mizutani, Satoshi & Nakagawa, Toshio, 2015. "Which is better for replacement policies with continuous or discrete scheduled times?," European Journal of Operational Research, Elsevier, vol. 242(2), pages 477-486.
    7. J. G. Shanthikumar & Laurence A. Baxter, 1985. "Closure properties of the relevation transform," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 32(1), pages 185-189, February.
    8. Richard Barlow & Larry Hunter, 1960. "Optimum Preventive Maintenance Policies," Operations Research, INFORMS, vol. 8(1), pages 90-100, February.
    9. Nuria Torrado & Rosa E. Lillo & Michael P. Wiper, 2012. "Sequential Order Statistics: Ageing and Stochastic Orderings," Methodology and Computing in Applied Probability, Springer, vol. 14(3), pages 579-596, September.
    10. Haijun Li, 2005. "Stochastic Comparison of Age-Dependent Block Replacement Policies," Methodology and Computing in Applied Probability, Springer, vol. 7(4), pages 473-488, December.
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