Reliability equivalence factors for a series–parallel system of components with exponentiated Weibull lifetimes

Alghamdi, SM and Percy, DF ORCID: https://orcid.org/0000-0002-2733-3855 2015, 'Reliability equivalence factors for a series–parallel system of components with exponentiated Weibull lifetimes' , IMA Journal of Management Mathematics, 28 (3) , pp. 339-358.

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Abstract

We study reliability equivalence factors of a system of independent and identical components with exponentiated Weibull lifetimes. The system has n subsystems connected in parallel and subsystem i has m_i components connected in series, i=1,...,n. We consider improving the reliability of the system by (a)a reduction method and (b) several duplication methods: (i) hot duplication; (ii) cold duplication with perfect switching; (iii) cold duplication with imperfect switching. We compute two types of reliability equivalence factors: survival equivalence factors and mean equivalence factors. Although our methods adapt to allow for general lifetime models, we use the exponentiated Weibull distribution because it is flexible and enables comparisons with other reliability equivalence studies. The example we present demonstrates the potential for applying these methods to address specific questions that arise when attempting to improve the reliability of simple systems or simple configurations of possibly complex subsystems in many diverse applications.

Item Type:	Article
Themes:	Built and Human Environment Energy
Schools:	Schools > Salford Business School > Salford Business School Research Centre
Journal or Publication Title:	IMA Journal of Management Mathematics
Publisher:	Oxford University Press
Refereed:	Yes
ISSN:	1471-678X
Related URLs:	Publication
Funders:	Ministry of Education, Saudi Arabia
Depositing User:	Professor D. F. Percy
Date Deposited:	04 Feb 2015 18:51
Last Modified:	15 Feb 2022 18:54
URI:	https://usir.salford.ac.uk/id/eprint/33390

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