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

Article

Last updated: 05 Jan 2025

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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.

DOI

10.1016/j.joems.2013.05.004

Keywords

Mixture Distributions, Reliability Engineering, Improving System

Authors

First Name

Abdelfattah

Last Name

Mustafa

MiddleName

-

Affiliation

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

Email

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City

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Orcid

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First Name

Adel

Last Name

El-Faheem

MiddleName

A.

Affiliation

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

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Orcid

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Volume

22

Article Issue

1

Related Issue

50468

Issue Date

2014-04-01

Receive Date

2012-09-11

Publish Date

2024-09-01

Page Start

96

Page End

101

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_381977.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381977

Order

381,977

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

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

Details

Type

Article

Created At

21 Dec 2024