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Grey repairable system analysis
Authors:Renkuan Guo  Charles Ernie Love
Affiliation:(1) Department of Statistical Sciences, University of Cape Town, Cape Town, South Africa;(2) Faculty of Business Administrations, Simon Fraser University, Burnaby, B. C., V5A 1S6, Canada
Abstract:In this paper, we systematically discuss the basic concepts of grey theory, particularly the grey differential equation and its mathematical foundation, which is essentially unknown in the reliability engineering community. Accordingly, we propose a small-sample based approach to estimate repair improvement effects by partitioning system stopping times into intrinsic functioning times and repair improvement times. An industrial data set is used for illustrative purposes in a stepwise manner.
Keywords:Grey theory   grey differential equation   intrinsic functioning times   repair improvement effects.
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