Abstract

Mathematical programming methods, e.g. linear programming, integer programming, convex optimization, aim to search for the exact solution(s) to an optimization problem in tractable time. They have very good theoretical foundations as well as a long history in solving various practical and challenging optimization problems with success. However, reliability optimization problems are typically non-linear and complex in nature, thus meta-heuristic and evolutionary algorithms are being often adopted because they are relatively straightforward to comprehend and implement. In reliability optimization problems, component reliability enhancement is among the most important ones. The problem amounts to optimizing the reliability of the system by improving the reliability of its components. Redundancy allocation is a well-established way to reliability optimization. It aims to improve system reliability via installing redundant components into the system.

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