双层规划模型在导弹破片杀伤战斗部优化设计中的应用

Application of Bi-level Programming Model in Optimization Design of Missile Fragmenting Warhead

破片杀伤战斗部结构设计考虑因素众多复杂,为梳理战斗部设计中各层次之间的关系,改善导弹的性能,文中综合考虑了战斗部的威力以及导弹的机动性能。文中分别用战斗部的威力半径、导弹重量表征战斗部的威力和导弹的机动性能,建立了战斗部结构参数优化设计的双层规划模型。为避免求解过程中陷入局部最优,提出了模拟退火算法对模型求解。最后用算例得到了战斗部的最优结构参数,证明了模型和算法的有效性。

Many complex factors should be considered for fragmenting warhead structure design. To rationalize the relationship between va- rious levels in design of warhead and improve performance of missile, the power of the warhead and missile motor performance were taken into account in comprehensive. Power radius of the warhead, weight of the missile were used to replace power of warhead and missile motor performance and the bi-level programming model of the warhead structural parameters optimization design was established. To avoid the process of solving the model into local optimum, simulated annealing algorithm was adopted to solve the model. At last, the example was used for optimal warhead structural parameters and validity of the model and algorithm was proved.