Abstract
We propose a mathematical model for optimizing multiple redundancy-reliability systems known as mega-systems. The system components are multi-state and the universal generating function (UGF) has been simulated to evaluate the system availability. The components may have minor or major failure, which reduces the components performance rate. We assume the components can be sold to different vendors and a vendor selection component is included in the proposed model to accommodate this assumption. The proposed mathematical model is NP-hard and we use a parameter-tuned memetic algorithm (MA) to solve the problem. We further use a mechanism based on the response surface methodology (RSM) to calibrate the proposed MA. The performance of the proposed MA is compared with a commonly used genetic algorithm (GA).
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