RELIABILITY ANALYSIS OF A COMPLEX REPAIRABLE SYSTEM COMPOSED OF TWO 2-OUT-OF-3: G SUBSYSTEMS CONNECTED IN PARALLEL

  • Alka Munjal 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: System, Reliability, Availability, MTTF, Sensitivity, k-out-of-m, G, Gumbel- Hougaard Copula

Abstract

This paper deals with the reliability analysis of a complex repairable system. The considered system consists of two repairable subsystems L and M connected in parallel configuration. Subsystem L and M both are 2-out-of-3: G consists of 3 type-A and 3 type-B components respectively which are in parallel configuration. A hot spare of type-A and type-B is connected to the L and M subsystem respectively. System has two states: Good and Failed. Supplementary variable technique has been used for mathematical formation of model. With the help of Gumbel-Hougaard family of copula reliability and cost analysis of the system is evaluated. The system is studied by using the supplementary variable technique to obtain various related measures such as mean time to failure, steady state probability, availability and cost analysis. At last some particular cases of the system are taken to highlight the different possibilities.

 

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Published
2014-03-20
Section
Articles