This week's seminars
Statistics Seminars: A heuristic survival signature based approach for reliability-redundancy allocation
21 May 2018 16:00 in CM221
Reliability-redundancy allocation can be used to simultaneously determine the reliabilities and the redundancy levels of components to maximize system reliability under design constraints such as those for cost, volume, and weight. Although many efforts have been made to propose efficient and effective methods for solving the optimization model of RRAP, it is still difficult to analyze large systems without considerable computational expense. In this paper, we present a new and efficient approach for reliability redundancy-allocation problems (RRAPs) using the survival signature. The information of the structure function of a system is summarized as survival signature which can be directly applied to calculate the reliability of the system with redundant components in parallel. The RRAP is formulated as an optimization problem with the objective of maximizing system reliability under some constraints. In order to solve the optimization model efficiently, a new adaptive penalty function is proposed to transfer the constraint optimization problem to an unconstraint one. Then a heuristic algorithm called stochastic fractal search is applied to solve the unconstraint optimization. Moreover, the (joint) structural importance is proposed to concretely allocate the redundancy level of each component. Two numerical examples are provided to demonstrate the application of the proposed approach. The results show that the approach is easy to implement in practice and has high computational efficiency.
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