RELIABILITY MEASURES OF A SINGLE-UNIT SYSTEM UNDER PREVENTIVE MAINTENANCE AND DEGRADATION WITH ARBITRARY DISTRIBUTIONS OF RANDOM VARIABLES

  • Jitender Kumar Department of Statistics & O. R., Kurukshetra University, Kurukshetra, India
  • M.S. Kadyan Department of Statistics & O. R., Kurukshetra University, Kurukshetra, India
  • S. C. Malik Department of Statistics, M. D. University, Rohtak, India
  • Chetan Jindal School of Mathematics and Computer Applications, Thapar University, Patiala (India)
Keywords: Single-Unit System, Preventive Maintenance, Maximum Operation Time, Degradation, Reliability Measures

Abstract

The main objective of this paper is to analyze a single-unit system with arbitrary distributions for all random variables associated with failure time, preventive maintenance (PM), maximum operation time (MOT), inspection and repair times. There is a single server who visits the system immediately whenever needed. The partially failed unit undergoes for PM after a MOT. The unit is considered as degraded after repair while preventive maintenance is perfect. Server inspects the degraded unit at its failure to see the feasibility of repair. If repair of the degraded unit is not feasible, it is replaced immediately by new one. The expressions for some reliability measures are obtained in steady state using regenerative point technique. Giving particular values to various parameters and costs, the numerical results for mean time to system failure (MTSF), availability and profit function are obtained considering exponential and Rayleigh distributions for all random variables.

 

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Published
2014-03-05
Section
Articles