On reliability analysis of a two-dependent-unit series system with a standby unit

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Date

2012

Authors

Eryilmaz, Serkan
Eryılmaz, Serkan
Tank, Fatih

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Elsevier Science inc

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Industrial Engineering
(1998)
Industrial Engineering is a field of engineering that develops and applies methods and techniques to design, implement, develop and improve systems comprising of humans, materials, machines, energy and funding. Our department was founded in 1998, and since then, has graduated hundreds of individuals who may compete nationally and internationally into professional life. Accredited by MÜDEK in 2014, our student-centered education continues. In addition to acquiring the knowledge necessary for every Industrial engineer, our students are able to gain professional experience in their desired fields of expertise with a wide array of elective courses, such as E-commerce and ERP, Reliability, Tabulation, or Industrial Engineering Applications in the Energy Sector. With dissertation projects fictionalized on solving real problems at real companies, our students gain experience in the sector, and a wide network of contacts. Our education is supported with ERASMUS programs. With the scientific studies of our competent academic staff published in internationally-renowned magazines, our department ranks with the bests among other universities. IESC, one of the most active student networks at our university, continues to organize extensive, and productive events every year.

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Abstract

In this paper we study a series system with two active components and a single cold standby unit. The two simultaneously working components are assumed to be dependent and this dependence is modeled by a copula function. In particular, we obtain an explicit expression for the mean time to failure of the system in terms of the copula function and marginal lifetime distributions. We also provide illustrative numerical results for different copula functions and marginal lifetime distributions. (c) 2012 Elsevier Inc. All rights reserved.

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tank, fatih/0000-0003-3758-396X; Tank, Fatih/0000-0003-3758-396X; Eryilmaz, Serkan/0000-0002-2108-1781
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tank, fatih ORCID logo
Tank, Fatih ORCID logo
Eryilmaz, Serkan ORCID logo

Keywords

Copula, Exchangeability, Mean time to failure, Positive dependence, Reliability

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Citation

19

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Volume

218

Issue

15

Start Page

7792

End Page

7797

URI

https://doi.org/10.1016/j.amc.2012.01.046
 https://hdl.handle.net/20.500.14411/1379

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