Signature Based Analysis of <i>m</i>-Consecutive-<i>k</i>-out-of-<i>n</i>: <i>F</i> Systems with Exchangeable Components

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2011

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Wiley-blackwell

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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 article, we study reliability properties of m-consecutive-k-out-of-n: F systems with exchangeable components. We deduce exact formulae and recurrence relations for the signature of the system. Closed form expressions for the survival function and the lifetime distribution as a mixture of the distribution of order statistics are established as well. These representations facilitate the computation of several reliability characteristics of the system for a given exchangeable joint distribution or survival function. Finally, we provide signature-based stochastic ordering results for the system's lifetime and investigate the IFR preservation property under the formulation of m-consecutive-k-out-of-n: F systems. (C) 2011 Wiley Periodicals, Inc. Naval Research Logistics 58: 344-354, 2011

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

Keywords

m-consecutive-k-out-of-n: F system, Samaniego's signature, exchangeable distribution, order statistics, mean residual lifetime, stochastic ordering

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43

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58

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4

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344

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354

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https://doi.org/10.1002/nav.20449
 https://hdl.handle.net/20.500.14411/1325

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