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Bivariate Optimal Repair Replacement Policy for a Deteriorating System

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Abstract

A replacement model using stochastically deceasing and increasing processes for successive survival and repair times is studied. A system is repaired on failure. With probability p it is returned to the ‘good as new’ state (perfect repair) while the repair is imperfect with probability 1-p. The successive survival and repair times following imperfect repairs are governed by processes which are stochastically non-increasing or non-decreasing respectively. Using a bivariate replacement policy (T, N) explicit expressions for the long-run average cost per unit time are obtained. Optimal policy (T, N)* is shown to be superior to policies T* and N* studied hitherto.

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Author notes

  1. G. Sarada

    Present address: Department of Mathematics, Anna University, Madras, 600 025, USA

Authors and Affiliations

  1. Department of Mathematics Indian Institute of Technology, Madras Chennai, 600 036, India

    A. Rangan & G. Sarada

Authors
  1. A. Rangan
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  2. G. Sarada
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Rangan, A., Sarada, G. Bivariate Optimal Repair Replacement Policy for a Deteriorating System. OPSEARCH 36, 325–334 (1999). https://doi.org/10.1007/BF03398586

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  • DOI: https://doi.org/10.1007/BF03398586

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