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Optimal block replacement policies with multiple choice at failure

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  • Daoud Ait Kadi
  • Robert Cléroux

Abstract

In this article we consider block replacement policies where the operating item is replaced by a new one at times kT, k = 1, 2, …, independently of its failure history. At failure the item is either replaced by a new or a used one or remains inactive until the next planned replacement. The mathematical model is defined and general analytical results are obtained. Computations are carried out for the case where the underlying life distribution is gamma or Weibull.

Suggested Citation

  • Daoud Ait Kadi & Robert Cléroux, 1988. "Optimal block replacement policies with multiple choice at failure," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(1), pages 99-110, February.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:1:p:99-110
    DOI: 10.1002/1520-6750(198802)35:13.0.CO;2-3
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    References listed on IDEAS

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    1. Robert Cleroux & Denis J. McConalogue, 1976. "A Numerical Algorithm for Recursively-Defined Convolution Integrals Involving Distribution Functions," Management Science, INFORMS, vol. 22(10), pages 1138-1146, June.
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    Cited by:

    1. D. Ait Kadi & C. Beaucaire & R. Cléroux, 1990. "A periodic maintenance model with used equipment and random minimal repair," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(6), pages 855-865, December.
    2. Sheu, Shey-Huei, 1998. "A generalized age and block replacement of a system subject to shocks," European Journal of Operational Research, Elsevier, vol. 108(2), pages 345-362, July.
    3. Yu-Hung Chien & Chin-Chih Chang & Shey-Huei Sheu, 2010. "Optimal age-replacement model with age-dependent type of failure and random lead time based on a cumulative repair-cost limit policy," Annals of Operations Research, Springer, vol. 181(1), pages 723-744, December.
    4. Shey-Huei Sheu & Chin-Chih Chang & Yu-Hung Chien, 2011. "Optimal age-replacement time with minimal repair based on cumulative repair-cost limit for a system subject to shocks," Annals of Operations Research, Springer, vol. 186(1), pages 317-329, June.

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