Stochastic Comparisons Between Lifetimes of Reliability Systems with Exchangeable Components

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Date

2016

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Springer

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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 present several results pertaining to the stochastic comparison of the lifetimes of two reliability systems with exchangeable components. More specifically, we provide signature-based sufficient and necessary conditions for establishing hazard rate and reverse hazard rate orderings. Finally, focusing on the class of consecutive-type systems, we illustrate how the general results can be exploited to deduce several stochastic orderings among members of this class.

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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

Hazard rate ordering, Reliability systems, Samaniego's signature, Minimal and maximal signatures

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10

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Q4

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Source

7th International Workshop on Applied Probability (IWAP) -- JUN 16-19, 2014 -- Antalya, TURKEY

Volume

18

Issue

4

Start Page

1081

End Page

1095

URI

https://doi.org/10.1007/s11009-014-9433-4
 https://hdl.handle.net/20.500.14411/667

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