Reliability equivalence factors for a series-parallel system of components with exponentiated Weibull lifetimes

作     者：Alghamdi, Safar M. Percy, David F. 

作者机构：Univ Salford Salford Business Sch Salford M5 4WT Lancs England Taif Univ Fac Sci Dept Math & Stat Al Huwaya Saudi Arabia 

出 版 物：《IMA JOURNAL OF MANAGEMENT MATHEMATICS》 (数学及其应用学会管理数学杂志)

年 卷 期：2017年第28卷第3期

页      面：339-358页

核心收录：

学科分类：1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Saudi Arabian Ministry of Higher Education 

主　　题：series-parallel system exponentiated Weibull distribution reliability equivalence factor reduction method duplication method 

摘      要：We study reliability equivalence factors of a system of independent and identical components with exponentiated Weibull lifetimes. The system has n subsystems connected in parallel and subsystem i has m(i) components connected in series, i=1, ..., n. We consider improving the reliability of the system by (a) a reduction method and (b) several duplication methods: (i) hot duplication;(ii) cold duplication with perfect switching;(iii) cold duplication with imperfect switching. We compute two types of reliability equivalence factors: survival equivalence factors and mean equivalence factors. Although our methods adapt to allow for general lifetime models, we use the exponentiatedWeibull distribution because it is flexible and enables comparisons with other reliability equivalence studies. The example we present demonstrates the potential for applying these methods to address specific questions that arise when attempting to improve the reliability of simple systems or simple configurations of possibly complex subsystems in many diverse applications.