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Sharp bounds for the reliability of systems and mixtures with ordered components
Author(s) -
Miziuła Patryk,
Navarro Jorge
Publication year - 2017
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/nav.21735
Subject(s) - reliability (semiconductor) , computer science , stochastic ordering , component (thermodynamics) , hazard , reliability engineering , mathematics , mathematical optimization , thermodynamics , physics , organic chemistry , engineering , power (physics) , chemistry
Abstract In this article, we study how to derive bounds for the reliability and the expected lifetime of a coherent system with heterogeneous ordered components. These bounds can be used to compare the performance of the systems obtained by permuting the components at a given system structure, that is, to study where we should place the different components at a system structure to get the most reliable system. Moreover, a similar procedure is applied to get bounds for mixtures and for the generalized proportional hazard rate model when the baseline populations are ordered. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 108–116, 2017