RELIABILITY ANALYSIS OF A COMPLEX REPAIRABLE SYSTEM COMPOSED OF TWO 2-OUT-OF-3: G SUBSYSTEMS CONNECTED IN PARALLEL
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.
Downloads
References
Angus, J. E. (1988). On computing MTBF for a k-out-of-n: G repairable system,
IEEE Transactions on Reliability, 37(3), p. 312-313.
Goel L. R. and Gupta, P. (1984). Stochastic analysis of a two unit parallel system
with partial and catastrophic failures and preventive maintenance, Microelectron.
Reliab., 24(3), p. 881-883.
Hassett, T. F., Dietrich, D. L. and Szidarovszky, F. (1995). Time varying failure
rates in the availability and reliability analysis of repairable systems, IEEE
Transactions on Reliability, 44 (1), p. 155-160.
Kumar, J. and Kadyan, M. S. (2012). Profit analysis of a system of non identical
units with degradation and replacement, International Journal of Computer
Application, 40(3), p. 19-25.
Lim, Tae-Jin and Lie, C. H. (2000) Analysis of system reliability with dependent
repair modes, IEEE Transactions on Reliability, 49 (2), p. 153-162.
Lindskog, F. (2000). Modelling dependence with copulas, ETH, Zurich, Risklab
report.
Malik, S. C. and Bhardwaj, R. K. (2008). Profit analysis of a stochastic model of
-out-of-3 redundant system with inspection by a server who appears and
disappears randomly, International Journal of Business and Engineering
Research, 1(1), p. 49-58.
Moustafa, M. S. (2001). Reliability analysis of systems with time varying failure
rates, Economic Quality Control, 16(2), p. 183-191.
Nailwal, B. and Singh, S. B. (2011). Performance evaluation and reliability
analysis of a complex system with three possibilities in repair with the
application of copula, International Journal of Reliability and Application. 12(1),
p. 15-39.
Nailwal, B. and Singh, S. B. (2012). Reliability measures and sensitivity analysis
of a Complex matrix system including power failure, IJE Transactions A: Basics,
(2), p. 115-130.
