Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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A Repair Process with Embedded Markov Chain

  • Lee, Eui-Yong (Department of Statistics, Sooknyung Women) ;
  • Munsup Seoh (Department of Mathematics and Statistics, Wright State University Dayton)
  • Published : 1999.12.01
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Abstract

A repair process of a system consisting of both perfect repairs and minimal repairs is introduced. The type of repair, when the system fails, is determined by an embedded two state Markov chain. We study several stochastic properties of the process including the preservation of ageing properties and the monotonicities of the time between successive repairs. After assigning repair costs to the process, we also show that an optimal repair policy uniquely exists, if the underlying life distribution of the system has DMRL.

Keywords

References

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