Reliability Equivalence Factors of a System with m Non-Identical Mixed of Lifetimes | Science Publications

American Journal of Applied Sciences

Abdelfattah Mustafa¹  Adel A. El-Faheem¹ 

关键词: Mixture distributions;    reliability equivalence;    improving system;    exponential distribution;    numerical illustrative;    equivalence factors;    theoretical results;    reliability functions;    duplication method;    Mean Reliability Equivalence (MRE);   

DOI  :  10.3844/ajassp.2011.297.302

学科分类：自然科学（综合）

来源: Science Publications

【 摘 要 】

Problem statement: The aim of this study is to generalize reliability equivalence techniqueto apply it to a system consists of m independent and non-identical lifetimes distributions, with mixedfailure lifetimes f₁(t),f₂(t),, f_m(t). Approach: We shall improve the system by using some reliabilitytechniques: (i) reducing the failure for some lifetimes; (ii) add hot duplication component; (iii) addcold duplication component; (iv) add cold duplication component with imperfect switch. We start byestablishing two different types of reliability equivalence factors, the Survival Reliability Equivalence(SRE) and Mean Reliability Equivalence (MRE) factors. Also, we introduced a numerical illustrativeexample. Results: The system reliability function and mean time to failure will be used as reference ofthe system performances. For this reason, we obtain the reliability functions and mean time to failuresof the original and improved systems using each improving methods. Conclusion: The results can beused to distinguish between the original and improved systems performances and calculate theequivalent between different cases of improving methods.

【 授权许可】

Unknown