—The paper examines the profound impact on the forecasted system reliability when
one assumes average reliabilities on demand for components of various kinds but of the same
type. In this paper, we use reverse engineering of a novel algebraic inequality to demonstrate
that the prevalent practice of using average reliability on demand for components of the same
type but different varieties to calculate system reliability on demand is fundamentally flawed.
This approach can introduce significant errors due to the innate variability of components
within a given type.
Additionally, the paper illustrates the optimization of engineering processes using reverse
engineering of sub-additive algebraic inequalities based on concave power laws. Employing
reverse engineering on these sub-additive inequalities has paved the way for strategies that
enhance the performance of diverse industrial processes. The primary advantage of these subadditive inequalities lies in their simplicity, rendering them particularly suitable for reverse
School of Engineering, Computing and Mathematics
Year of publication: 2023Date of RADAR deposit: 2023-09-22
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