基于正向解析式和多目标博弈优化算法的复杂装备体系优化设计方法

For the problems of many index variables, strong simulation dependence and being easy to fall into local optimum in the optimization design of complex equipment system-of-systems (CES), an optimization design method of CES based on forward analytical formula and multi-objective game theory (MOGT) optimization algorithm is proposed. In order to improve the interpretability of the CES optimization design, evaluation index systems among task-level, capability-level and equipment-level are constructed. On this basis, the positive mapping relationship between the evaluation performance index and the combat capability is characterized based on the equipment mechanism and utility function, and the weight of each index is calculated by the adjacent priority degree entropy weight method. A multi-objective optimization model is established by using the forward analytical formulas and constraints, and the MOGT optimization algorithm is used to obtain the best optimization results. The air defense scenario in an operation deduction platform is taken as an example for the example evaluation and verification analysis. The results show that the proposed method can realize the solution of the optimal design scheme in the CES, which can significantly improve the design efficiency and reduce the design cost, and provide the basic work for the development demonstration, design evaluation and combat test of the next generation equipment.