Dynamic Reliability Evaluation of Consecutive-k-Within-m-Out-of-n:F System

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Date

2011

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Taylor & Francis 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

A consecutive k-within-m-out-of-n:F system consists of n linearly ordered components and fails if and only if there are m consecutive components which include among them at least k failed components. This system model generalizes both consecutive k-out-of-n:F and k-out-of-n:F systems. In this article, we study the dynamic reliability properties of consecutive k-within-m-out-of-n:F system consisting of exchangeable dependent components. We also obtain some stochastic ordering results and use them to get simple approximation formulae for the survival function and mean time to failure of this system.

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Kan, Cihangir/0000-0002-3642-9509; Eryilmaz, Serkan/0000-0002-2108-1781
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Kan, Cihangir ORCID logo
Eryilmaz, Serkan ORCID logo

Keywords

Consecutive k-out-of-n:F system, Consecutive k-within-m-out-of-n:F system, Exchangeable lifetimes, Failure rate, Mean residual life, Mixtures, Signature, Stochastic ordering

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11

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Q4

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Volume

40

Issue

1

Start Page

70

End Page

83

URI

https://doi.org/10.1080/03610918.2010.530366
 https://hdl.handle.net/20.500.14411/1543

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