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Imperfect repair models with preventive maintenance

  • Haijun Li (a1) and Moshe Shaked (a2)


Brown and Proschan (1983) introduced the imperfect repair model, in which an item, upon failure, is replaced with a new one with probability α, and is minimally repaired with probability 1 − α. In this paper we equip the imperfect repair model with preventive maintenance, and we obtain stochastic maintenance comparisons for the numbers of failures under different policies via a point-process approach. We also obtain some results involving stochastic monotonicity properties of these models with respect to the unplanned complete repair probability α.


Corresponding author

Postal address: Department of Mathematics, Washington State University, Pullman, WA 99164, USA.
∗∗ Postal address: Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA. Email address:


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Journal of Applied Probability
  • ISSN: 0021-9002
  • EISSN: 1475-6072
  • URL: /core/journals/journal-of-applied-probability
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