Reliability equivalence factors for some systems with mixture linear increasing failure rates.

A.  Mustafa; A. H.  El-Bassiouny

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Reliability equivalence factors for some systems with mixture linear increasing failure rates.

Author(s)

A. Mustafa Department of Mathematics, College of Science, King Saud University, Al-Kharj, Saudi Arabia

A. H. El-Bassiouny Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt

Abstract

In this article, the failure rates fo the system’s components are functions of time t. We study two cases (i) the life time distribution of a components has two stages with increasing failure rates, (ii) the failure rates of the components have the two stages. The reliability equivalence factors of some systems with identical components are obtained. Two different methods are used to improve the given systems. Numerical examples are presented to interpret how one can utilize the obtained results. Some special cases are obtained from our results.

Publication Details

Page(s) 149-163

DOI DOI not available

Published Journal: Pakistan Journal of Statistics, Volume: 25, Issue: 2, Year: 2009

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