Assessing the reliability of a nanocomponent by using copulas

Nader Ebrahimi and Lei Hua

IISE Transactions, 2014, vol. 46, issue 11, 1196-1208

Abstract: A nanocomponent is a collection of atoms arranged in a definite pattern in order to achieve a desired function with an acceptable performance and reliability. Types of atoms, the manner in which they are arranged within the nanocomponent, and their inter-relationships have a direct effect on the nanocomponent’s reliability and its failure. This article, proposed a general method using the notion of a copula to model the inter-relationships between the atoms of a nanocomponent and then assess the reliability or probability of failure of the nanocomponent under different structures. This approach is refered to as a “zoom-out” approach. The proposed method is very flexible and it is very easy to implement. This article considers a nanocomponent at a fixed moment of time, say the present moment, and assumes that the present status of a nanocomponent depends on the present status of its atoms.

Date: 2014
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DOI: 10.1080/0740817X.2014.883240

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