Abstract

Consecutive k-out-of-n Systems are widely used in practical engineering, including pipeline systems, quality control sampling systems, and vacuum acceleration systems. This paper focuses on how to evaluate the system's defensive capability quantitatively. Under cost constraints, the optimization model of defensive capability for consecutive k-out-of-n: F systems are established. The genetic algorithm based on defensive importance measure is designed to solve the mentioned mathematical model. The results of simulation experiments verify that defensive importance-based optimization algorithm applies to solving the optimal configuration under various risk scenarios, and the distribution laws of the optimal configuration under continuous risk or equal interval risks are summarized.

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