Reliability and Optimal Replacement Policy for a <i>k</I>-out-of-<i>n< System Subject To Shocks

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2019

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Elsevier Sci Ltd

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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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Energy Systems Engineering
(2009)
The Department of Energy Systems Engineering admitted its first students and started education in the academic year of 2009-2010 under Atılım University School of Engineering. In this Department, all kinds of energy are presented in modules (conventional energy, renewable energy, hydrogen energy, bio-energy, nuclear energy, energy planning and management) from their detection, production and procession; to their transfer and distribution. A need is to arise for a surge of energy systems engineers to ensure energy supply security and solve environmental issues as the most important problems of the fifty years to come. In addition, Energy Systems Engineering is becoming among the most important professions required in our country and worldwide, especially within the framework of the European Union harmonization process, and within the free market economy.

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Abstract

Consider a k-out-of-n system which is subject to shocks that occur at random times. Each shock causes failure of random number of components, and hence the system's lifetime corresponds to one of the arrival times of shocks. The reliability and mean time to failure of the system are studied when the times between shocks follow a phase type distribution. The optimal replacement time problem which is concerned with the minimization of the total long-run average cost per unit time is also defined and studied.

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DEVRIM, YILSER/0000-0001-8430-0702; Eryilmaz, Serkan/0000-0002-2108-1781
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DEVRIM, YILSER ORCID logo
Eryilmaz, Serkan ORCID logo

Keywords

k-out-of-n system, Optimal replacement time, Phase-type distribution

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Volume

188

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Start Page

393

End Page

397

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https://doi.org/10.1016/j.ress.2019.03.045
 https://hdl.handle.net/20.500.14411/3290

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