Journal Article

On the use of analytical inequalities for improving reliability and reducing risk

Abstract

The paper demonstrates a new domain-independent method for improving reliability and reducing risk including two fundamental approaches: the forward approach, based on deriving algebraic inequalities from real systems and processes; and the inverse approach, based on deriving new knowledge by meaningful interpretation of existing correct algebraic inequalities. The forward approach has been used to prove the domain-independent principle of the well-ordered systems which are characterised by the smallest possible risk of failure. The inverse approach has been used to generate new knowledge related to the relationship of the equivalent elastic constants of elements arranged in series and parallel and the upper and lower bounds of the percentage of faulty components in pooled batches of components with unknown sizes.

Authors

Todinov, Michael

Oxford Brookes departments

School of Engineering, Computing and Mathematics

Dates

Year of publication: 2023
Date of RADAR deposit: 2023-06-30

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License

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Related resources

This RADAR resource is the Accepted Manuscript of On the use of analytical inequalities for improving reliability and reducing risk