The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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PROBABILISTIC ANALYSIS OF A SYSTEM CONSISTING OF TWO SUBSYSTEMS IN THE SERIES CONFIGURATION UNDER COPULA REPAIR APPROACH

  • Raghav, Dhruv (Department of Computer Science, ITS Engineering College, Greater Noida, Dr. APJ Abdul Kalam Technical University) ;
  • Pooni, P.K. (Department of General Requirement, Sur College of Applied Sciences) ;
  • Gahlot, Monika (Department of Mathematics, Mewar University Chittorgarh) ;
  • Singh, V.V. (Department of Mathematics, Yusuf Maitama Sule University) ;
  • Ayagi, Hamisu Ismail (Department of Mathematics, Yusuf Maitama Sule University) ;
  • Abdullahi, Ameer Hassan (Department of Mathematics, Kano university of science and technology wudil)
  • Received : 2020.05.06
  • Accepted : 2020.08.02
  • Published : 2020.08.31
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Abstract

Redundancy is commonly employed to improve system reliability. In most situations, components in the standby configurations are assumed statistically similar but independent. In many realistic models, all parts in standby are not treated as identical as they have different failure possibilities. The operational structure of the system has subsystem-1 with five identical components working under 2-out-of-5: G; policy, and the subsystem-2 has two units and functioning under 1-out-of-2: G; policy. Failure rates of units of subsystems are constant and assumed to follow an exponential distribution. Computed results give a new aspect to the scientific community to adopt multi-dimension repair in the form of the copula.

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References

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