4.3 Article

A new model for the reliability-redundancy allocation problem under the K-mixed redundancy strategy

Journal

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
Volume 92, Issue 17, Pages 3542-3560

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/00949655.2022.2072844

Keywords

Reliability optimization; reliability redundancy allocation problem; k-mixed strategy; genetic algorithm

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This paper revisits the reliability-redundancy allocation problem and introduces the K-mixed redundancy strategy to solve test problems in complex system design. The results show that the new strategy outperforms both the conventional active and standby strategies, as well as its mixed strategy counterpart, while providing more reliable structures. Moreover, the K-mixed strategy is proven to be superior for systems with low reliability switching mechanisms.
This paper revisits the reliability-redundancy allocation problem as an important component of complex system design. In order to develop more reliable structures, the recently introduced K-mixed redundancy strategy is implemented to explore its power in solving different test problems. The strategy in question comprises as its decision variables, component reliability, redundancy level, and optimal redundancy strategy each of which must be optimally determined for each subsystem to ensure best performance of the whole system. To achieve this objective, a mathematical model is developed for formulating test problems under the K-mixed strategy and a proper genetic algorithm is employed to solve them. Results reveal that the new strategy outperforms not only the conventional active and standby strategies but even its mixed strategy counterpart as well while it also yields to more reliable structures. Moreover, the K-mixed strategy is shown as the superior one for systems with switching mechanisms of low reliability.

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