A constraint importance measure-based beluga whale optimization algorithm for reliability redundancy allocation problems considering mixed redundancy strategy

The reliability redundancy allocation problem (RRAP) aims to maximize system reliability by determining the optimal combination of component reliability and subsystem redundancy. RRAP plays an important role in the reliability improvement of complex systems, and it is necessary to determine the cost-effective RRAP solution effectively for complex systems. This paper constructs the constraint importance measure (CIM) to identify the key subsystems by considering the relationship between objective function and constraints. A CIM-based local search rule is designed to improve the system reliability by making the best use of limited resources. CIM-based beluga whale optimization (CIMBWO) is developed by combining the advantages of CIM and BWO. In numerical experiments, compared with GA, PSO, and BWO, the performance of CIMBWO is verified by two benchmarks and 11 different scale hybrid systems. The results show that CIMBWO can get better solutions with fast convergence and high robustness.