International Journal of Mathematics and Statistics Studies (IJMSS)

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Analytical Methods of Calculating the Lifetime Distribution for Some Models of Standby Redundant Systems

Abstract

In present day technology, reliability of equipment’s is increased by employing the method of standby systems, that is, the introduction of extra units. The purpose of the supplementary units is to take over operation if the basic units break down. Moreover, to increase the effectiveness of standby systems, units that have failed are repaired. In this paper the reliability function and the mean lifetime are obtained for the cases of loaded, nonleaded and lightly loaded systems with and without renewal.Moreover, the effectiveness of repair is calculated for some distributions for different numbers of main units.

Keywords: Reliability, loaded, mean lifetime, nonloded and lightly loaded system., preventive maintenance, renewable system

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Email ID: editor.ijmss@ea-journals.org
Impact Factor: 7.80
Print ISSN: 2053-2229
Online ISSN: 2053-2210
DOI: https://doi.org/10.37745/ijmss.13

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