Stochastic Modeling of a Non-Identical Redundant System with Priority in Repair Activities

  • Monika Saini Department of Mathematics and Statistics, Manipal University, Jaipur, Rajasthan, India
  • Kuntal Devi Department of Mathematics and Statistics, Manipal University, Jaipur, Rajasthan, India
  • Ashish Kumar Department of Mathematics and Statistics, Manipal University, Jaipur, Rajasthan, India
Keywords: Reliability, availability, Weibull failure and repair laws, preventive maintenance, semi-Markov process, maximum operation time

Abstract

In the present study, an effort has been made to develop a stochastic model for a redundant system of non-identical units. One unit is treated as original and other is duplicate. Initially original unit is operative and duplicate unit is kept under cold standby mode. The concepts of preventive maintenance, maximum operation time and priority to repair of original unit over repair of duplicate unit are also incorporated in the development of the stochastic model. A single repair facility is available for performing all repair activities as and when required. All time dependent random variables are assumed to follow arbitrary distribution. The recurrence relations for various reliability measures have been developed by using regenerative point technique (RPT) and semi Markov process (SMP). To highlight the importance of the study numerical results has been drawn for a particular case.

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Published
2020-12-28
Section
Articles