RELIABILITY ANALYSIS OF MULTI-STATE COMPLEX SYSTEM HAVING TWO MULTI-STATE SUBSYSTEMS UNDER UNCERTAINTY

  • Meenakshi Department of Mathematics, Statistics and Computer Science G.B. Pant University of Agriculture and Technology Pantnagar, India
  • S.B. Singh Department of Mathematics, Statistics and Computer Science G.B. Pant University of Agriculture and Technology Pantnagar, India
Keywords: Multi-State System, Consecutive r-out of-k-from-n System, Interval Universal Generating Function, Reliability, MTTF

Abstract

In this paper a non-repairable multi-state complex system with two subsystems A and B is taken for study. The subsystems A and B are multi-state consecutive r-out-of-k-from-n: G systems connected in parallel configuration. Analysis of the system reliability is carried out incorporating the uncertainty in the probabilities and degradation rates of the subsystem elements. The uncertainty representation in probabilities and degradation rates is done by their interval values. The probability intervals are evaluated by computing bound of interval valued ordinary differential equation of the system. Interval universal generating function is used to obtain reliability and mean time to failure of the proposed system. Finally, the considered model is demonstrated with the help of a numerical example.

 

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Published
2017-06-10
Section
Articles