Download PDFOpen PDF in browserMaximum entropy model applied to RCM scheme for replaceable systems.EasyChair Preprint 16656 pages•Date: October 14, 2019AbstractBased on methodologies of variational calculus and differential entropy, we propose in this work a non-parametric model that provides a robust estimation of reliability to be used in a RCM scheme. A Weibull analysis is presented first in a case study within the usual RCM schemes. If the sample of data is reduced the weibull analysis loses precision, impacting in the RCM scheme. To solve this limitation, a maximum entropy approach is proposed. Differential entropy has been shown as a solid tool to model the response of a random variable when reduced sample size information is available. We take advantage of the formalism of the variational calculus to express a functional that obeys the Euler-Lagrange equations and supported by the Kolmogorov axioms, we extract a generalized non-parametric probability density. By subjecting this density to appropriate boundary conditions in terms of the first moments of the generalized probability density. Keyphrases: Euler-Lagrange, RCM, Reliability, Shanon, Weibull, Weibull analysis, differential entropy, variational calculus
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