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A bivariate optimal replacement policy for a system subject to a generalized failure and repair process

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  • Hyunju Lee
  • Ji Hwan Cha

Abstract

Traditionally, in the studies of the optimal maintenance policies for repairable systems, the nonhomogeneous Poisson process model, which corresponds to the minimal repair process, has been intensively applied. However, in many practical situations, the repair type is not necessarily minimal. In this article, a new repair process based on a new counting process model (so‐called the generalized Polya process) is introduced. Then, the issue of the optimal replacement problem is discussed. A bivariate preventive replacement policy is developed and the properties of the optimal policy are studied. Illustrative examples are also presented. In addition, a comparison with a conventional replacement policy is performed.

Suggested Citation

  • Hyunju Lee & Ji Hwan Cha, 2019. "A bivariate optimal replacement policy for a system subject to a generalized failure and repair process," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 35(3), pages 637-650, May.
    • Handle: RePEc:wly:apsmbi:v:35:y:2019:i:3:p:637-650
    DOI: 10.1002/asmb.2356
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    1. Maxim Finkelstein, 2008. "Failure Rate Modelling for Reliability and Risk," Springer Series in Reliability Engineering, Springer, number 978-1-84800-986-8, March.
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    1. Hyunju Lee & Ji Hwan Cha & Maxim Finkelstein, 2022. "A Preventive Replacement Policy for a System Subject to Bivariate Generalized Polya Failure Process," Mathematics, MDPI, vol. 10(11), pages 1-15, May.

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