Reliability equivalence factors of a system with mixture of n independent and non-identical lifetimes with delay time | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 22, Issue 1, 2014, Page 96-101 PDF (378.63 K) | ||||
Document Type: Original Article | ||||
DOI: 10.1016/j.joems.2013.05.004 | ||||
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Authors | ||||
Abdelfattah Mustafa1; Adel A. El-Faheem2 | ||||
1Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt | ||||
2Department of Mathematics, Faculty of Science, Aswan University, Aswan 81528, Egypt | ||||
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. | ||||
Keywords | ||||
Mixture Distributions; Reliability Engineering; Improving System | ||||
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