Int J Performability Eng ›› 2020, Vol. 16 ›› Issue (10): 1509-1516.doi: 10.23940/ijpe.20.10.p2.15091516

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Bayesian Estimation of Linear/Circular Consecutive k-out-of-n: F System Reliability

J. Madhumitha and G. Vijayalakshmi*   

  1. Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Chennai Tamil Nadu 603203, India
  • Submitted on ; Revised on ; Accepted on
  • Contact: * E-mail-address:

Abstract: In the different structure of coordinated circuits, microwave transfer stations in broadcast communications, oil pipe frameworks, vacuum frameworks in quickening agents, PC ring systems, and hand-off stations in space, the consecutive k-out-of-n: F system is useful. We consider n segments that are arranged in a model of successive k-out-of-n: F systems. Without lifetime information about the whole structure, it is attractive to utilize prior belief or experience on its segments in the Bayesian examination of the system. The exact Bayesian reliability formulas, mean time to system failure, and confidence interval are obtained for the proposed system.

Key words: Bayesian reliability, consecutive k-out-of-n: F system, gamma distribution, mean time to system failure, confidence interval