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Assessing the Reliability Function of Nanocomponents

Part of: Stochastic processes Operations research and management science

Published online by Cambridge University Press:  14 July 2016

Nader Ebrahimi
Nader Ebrahimi*
Affiliation:
Northern Illinois University
*
∗ Postal address: Division of Statistics, Northern Illinois University, DeKalb, IL 60115, USA. Email address: nader@math.niu.edu
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Abstract

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A nanocomponent is a collection of atoms arranged to a specific design in order to achieve a desired function with an acceptable performance and reliability. The type of atoms, the manner in which they are arranged within the nanocomponent, and their interrelationship have a direct effect on the nanocomponent's reliability (survival) function. In this paper we propose models based on the notion of a copula that are used to describe the relationship between the atoms of a nanocomponent. Having defined these models, we go on to construct a ‘nanocomponent’ model in order to obtain the reliability function of a nanocomponent.

Keywords

Copula functionFarlie-Gumbel-Morgenstern copulaGaussian copulaisotropic covariance functionMarkov random fieldmultivariate hazard gradientreliability functionsurvival function

MSC classification

Secondary: 60G55: Point processes 90B25: Reliability, availability, maintenance, inspection

Information

Type
Research Article
Information
Journal of Applied Probability , Volume 48 , Issue 1 , March 2011 , pp. 31 - 42
Copyright
Copyright © Applied Probability Trust 2011 

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