Reliability Performance of Improved General Series-Parallel Systems in the Generalized Exponential Lifetime Model

Abstract

Based on the reduction and redundancy methods, the reliability performance of the improved general series-parallel system is considered, assuming the connected components are identically independent and follow the general exponential lifetime model. To extend previous studies, the shape parameter is modified to obtain the reliability equivalence factors of the hot and cold duplications. A hybrid of the hot and cold duplication methods is also considered. Numerical results from a practical example are investigated to illustrate the derived theoretical results of the overall study.

Reliability Equivalence Factors for Coherent System using Survival Signature

“…Alghamdi and Percy (2017) also expanded the REF concept to these systems, considering exponentiated Weibull distributed components. Migdadi et al (2019) studied the reliability and MTTF of the general series-parallel system by considering reduction strategies, as well as hot, cold, and hybrid duplication strategies with general exponential distributed components. Recently, Mustafa et al (2023) improved the performance of the series-parallel system by assuming independently and identically distributed (i.i.d.)…”

A novel and unique approach for determining the survivor equivalence factors for complex systems

“…Reliability equivalency factors were first discussed by [1,2]. The majority of research on reliability equivalency factors assume systems with identical, distributed units and have certain structures [3][4][5][6][7][8][9][10]. Pogany et al [11,12] introduced the survivor equivalence to get more general and substantially simpler approach.…”