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Stochastic Comparison of Age-Dependent Block Replacement Policies

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  • Haijun Li

    (Washington State University)

Abstract

The age-dependent block replacement policy is a modified block replacement policy with an age limit for preventive replacements. Under this policy, any failed component is repaired, but only the components whose ages exceed a fixed age limit are replaced preventively at the scheduled maintenance times. Using the compensator method, we compare stochastically the failure counting processes of the age-dependent block replacement policies with different parameters, and show that the age-dependent block replacement policy, although cost effective, leads to more failures than the age and block replacement policies.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:metcap:v:7:y:2005:i:4:d:10.1007_s11009-005-5004-z
    DOI: 10.1007/s11009-005-5004-z
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    References listed on IDEAS

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    1. Menachem Berg & Benjamin Epstein, 1976. "A modified block replacement policy," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(1), pages 15-24, March.
    2. Rolski, T. & Szekli, R., 1991. "Stochastic ordering and thinning of point processes," Stochastic Processes and their Applications, Elsevier, vol. 37(2), pages 299-312, April.
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    Cited by:

    1. Sidibe, I.B. & Khatab, A. & Diallo, C. & Kassambara, A., 2017. "Preventive maintenance optimization for a stochastically degrading system with a random initial age," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 255-263.
    2. 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.

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