Reliability equivalence factors of a system with mixture of n independent and non-identical lifetimes with delay time

Document Type : Original Article

Authors

1 Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

2 Department of Mathematics, Faculty of Science, Aswan University, Aswan 81528, Egypt

http://dx.doi.org/10.1016/j.joems.2013.05.004

Abstract

Recently, [1,2] generalized the reliability equivalence technique to a system with mixed of
two non-identical lifetimes with delay time. The aim of this study is to generalize reliability equivalence technique to apply it to a system of mixture of n independent and non-identical lifetimes with delay time. We shall improve the system by using some reliability techniques: (i) reducing the failure for some lifetimes; (ii) add hot duplication components; (iii) add cold duplication components; and (iv) add cold duplication components with imperfect switches. We start by establishing two different types of reliability equivalence factors, the survival reliability equivalence (SRE) and mean reliability equivalence (MRE) factors. We also introduced some numerical results and conclusions.

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