According to the characteristic of air defense disposition, a model for denfense effectiveness of air defense weapon is built using the Markov chain, then a multi-objective mathematical model is finally established with a view to both defense effectiveness and the average defense cost of weapon. The nondominated sorting genetic algorithm Ⅱ (NSGA- Ⅱ ) is designed to solve the ultimately model, and a aggregate of Pareto optimum is gained through the simulation. A correspondingly optimum result is selected as the final rule of air defense disposition. The result of simulation demonstrates that NSGA- Ⅱ can solve multi-bojective based air defense disposition effectively.%针对防空部署的特点,根据Markov状态转移链建立了防空武器的防御效能模型,并在考虑了防空武器平均防御总成本的基础上结合防御效能模型建立了多目标的防空部署优化模型,进而设计了求解防空部署优化模型的NSGA-Ⅱ多目标优化算法,并通过仿真得到Pareto最优解集,从中选取了相对最优解作为防空部署优化的最终结果.仿真结果表明利用NSGA-Ⅰ可以有效地解决多目标下的防空部署优化问题.
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