Mixed Three-State k-Out-of-n Systems With Components Entering at Different Performance Levels

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2016

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Ieee-inst Electrical Electronics Engineers 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 three-state k-out-of-n system with n independent components (k = (k(1), k(2))). Each component can be in a perfect functioning state (state "2"), partially working (state "1"), or failed (state "0"). We assume that, at time t = 0, n(1) components are in a partially working state while the rest n(2) components are fully functioning (n = n(1) + n(2)). The system is considered to be at state "1" or above if at least k(1) components are working (fully or partially). If at least k(1) components are working and at least k(2) components are in a perfect functioning state, we shall say that the system is at state "2". In this paper, we develop formulae for the survival functions corresponding to the two different system's states described above. For illustration purposes, a numerical example which assumes that the degradation occurs according to a Markov process is presented.

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Triantafyllou, Ioannis S./0000-0002-7512-5217; Koutras, Markos/0000-0001-5160-2405; Eryilmaz, Serkan/0000-0002-2108-1781

Keywords

k-out-of-n systems, Markov processes, mean system lifetime, survival function, three-state systems

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7

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Volume

65

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2

Start Page

969

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972

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