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Assessing the reliability of a nanocomponent by using copulas

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  • Nader Ebrahimi
  • Lei Hua

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.

Suggested Citation

  • Nader Ebrahimi & Lei Hua, 2014. "Assessing the reliability of a nanocomponent by using copulas," IISE Transactions, Taylor & Francis Journals, vol. 46(11), pages 1196-1208, November.
  • Handle: RePEc:taf:uiiexx:v:46:y:2014:i:11:p:1196-1208
    DOI: 10.1080/0740817X.2014.883240
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