RELIABILITY ANALYSIS OF A COMPLEX REPAIRABLE SYSTEM COMPOSED OF A 2-OUT-OF-3: GSUBSYSTEM AND A SERIES SUBSYSTEM 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, Cost Effectiveness, Sensitivity, k-outof- m, G, Gumbel-Hougaard Copula

Abstract

Present study discusses the reliability analysis of a complex system which consists of two repairable subsystems (namely L and M) connected in parallel. Subsystem L is of 2-out-of-3: Gconfiguration which consists of 3 type-A components which are in parallel configuration and subsystem M consists of 5type-B components which are in series configuration. A hot spare of type-A and type-B is connected to the2-out-of-3: G subsystem and the series subsystem respectively.By employing supplementary variable technique, Laplace transforms and Gumbel- Hougaard family of copula various transition state probabilities, reliability, availability, MTTF, cost analysis and sensitivity analysis have been obtained along with the steady state behaviour of the system. At the end some special cases of the system have been taken.

 

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Published
2014-01-29
Section
Articles