Reliability Analysis Under Marshall-Olkin Run Shock Model

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2019

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Elsevier

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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, a new shock model called Marshall-Olkin run shock model is defined and studied. According to the model, two components are subject to shocks that may arrive from three different sources, and component i fails when it is subject to k consecutive critical shocks from source i or k consecutive critical shocks from source 3, i = 1, 2. Reliability and mean residual life functions of such components are studied when the times between shocks follow phase-type distribution. (C) 2018 Elsevier B.V. All rights reserved.

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Ozkut, Murat/0000-0002-0699-892X; ozkut, murat/0000-0002-0699-892X; OZKUT, MAHMUD MUSTAFA/0000-0001-8725-8909; Eryilmaz, Serkan/0000-0002-2108-1781
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Ozkut, Murat ORCID logo
ozkut, murat ORCID logo
OZKUT, MAHMUD MUSTAFA ORCID logo
Eryilmaz, Serkan ORCID logo

Keywords

Mean residual lifetime, Reliability, Phase-type distributions, Marshall-Olkin distribution

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349

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52

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59

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https://doi.org/10.1016/j.cam.2018.09.022
 https://hdl.handle.net/20.500.14411/2759

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