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The key issue in this study has been the integration of redundancy allocation and optimization of failure rates. The fact that we only need to work with parallel allocation and increase the number of components in a subsystem in parallel to improve the reliability or availability of parallel-series systems is necessary, but not enough. It is worth mentioning that in this research, the improvement of failure rates of different components in the system has been studied. In the meantime, it is important to note that with careful study of the effects of each of these approaches and the costs imposed on the system, the design problem data will be formed. Considering that more effort to improve the reliability of components leads to less redundancy allocation and vice versa, the optimization problem is performed to determine the exact number of redundancies along with determining the exact amount of improvements in complete failure rates. In this research, the satellite attitude determination and control system, the structure of the studied system and its components is introduced, then the reliability in this system is modeled and optimized with a mathematical approach based on the combination of reliability allocation and redundancy allocation.

Presenting the mathematical model to optimize the reliability of the satellite attitude determination and control system