Abstract: After improving NSGA-II by importing adaptive crossover and mutation operators，this paper combines it with the simulation annealing algorithm and then applies them to the problem of choice and valuation of the supply contractors of weaponry equipment.The pareto solutions are distributed uniformly and the algorithm shows nice convergence through the experimental result.So it provides an efficient tool for solving the multi-objective problem of choosing the contractors of weaponry supplies.

Key words: multi-objective optimization, genetic algorithm, simulated annealing, contractors selection

摘要： 在NSGA-II算法中引入自适应交叉算子和自适应变异算子，将模拟退火算法与改进的NSGA-II算法相结合，并应用到武器装备供应合同商的选择与评价中。实验结果表明，非劣解在目标空间分布均匀，算法收敛性好，为求解武器装备供应合同商选择的多目标问题提供了一种有效的工具。

关键词: 多目标优化, 遗传算法, 模拟退火, 合同商选择