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Stochastic comparisons of replacement policies in coherent systems under minimal repair
Author(s) -
Arriaza Antonio,
Navarro Jorge,
SuárezLlorens Alfonso
Publication year - 2018
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.21820
Subject(s) - independent and identically distributed random variables , component (thermodynamics) , stochastic ordering , computer science , series (stratigraphy) , mathematical optimization , random variable , mathematics , statistics , paleontology , physics , biology , thermodynamics
In this paper, we study stochastic comparisons of the coherent systems obtained under different repair policies. We consider minimal repairs of the components, that is, a failed component is replaced by another component which is similar (ie, it has the same distribution) to the replaced one and with the same age. Under these assumptions, we study how to determine the best replacement policies. Two general methods are proposed, one for systems with identically distributed components and another one for systems with ordered (in different stochastic senses) components. Both methods can be applied to systems with independent or dependent components. We use these methods to determine the optimal repair policies in some particular cases. We pay special attention to series and parallel systems with independent or dependent components. An algorithm to find the optimal replacement policy (when it exists) is provided.