针对复杂装备体系(Complex Equipment System-of-systems，CES)优化设计中指标变量多、仿真依赖性强、易陷入局部最优的问题，提出一种基于正向解析式和多目标博弈理论(Multi-Objective Game Theory，MOGT)优化算法的CES优化设计方法。为提升CES优化设计的可解释性，构建任务级—能力级—装备级的评估指标体系;在此基础上，基于装备机理和效用函数表征装备评估指标与作战能力之间的正向映射关系，并利用相邻优属度熵权法计算各指标权重;通过正向解析式与约束条件建立多目标优化模型，并采用MOGT优化算法获得最佳优化结果。以某作战推演平台中防空攻防想定为例，开展算例评估与验证分析。研究结果表明，该方法能够实现CES中最优设计方案的求解，可显著提高设计效率和降低设计成本，为下一代装备发展论证、设计评估和作战试验提供了基础性工作。
Optimization Design Method of Complex Equipment System-of-systems Based on Forward Analytical Formula and MOGT Optimization Algorithm
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.
complex equipment system-of-systemsforward optimization designmulti-objective game theory optimization algorithmadjacent priority entropy weightoperation deduction simulation
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