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Cold duplication and survival equivalence in the case of gamma-Weibull distributed composite systems

The reliability of composite system (series, parallel) is improved by (i) reduction method, and by (ii) cold duplication, considering the system’s survival functions. Then these reliability improvement methods are compared mentioning that the hot duplication method was studied recently by Pogany et al. [8]. In this companion article to [8], related survival equivalence functions and pointwise survival equivalence factors are derived in all cases when the components lifetime distribution follow the gamma–Weibull distribution introduced recently by Leipnik and Pearce, and studied intensively by Nadarajah and Kotz, then by Pogany and Saxena.

Cold–duplication method ; Composite system ; Fox–Wright generalized hypergeometric function ; Gamma–Weibull distribution ; Parallel system ; Reduction method ; Reliability equivalence factor ; Reliability function ; Series system ; Srivastava–Daoust generalized Kampe de Feriet hypergeometric function ; Survival equivalence function ; Survival function.

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