中文摘要：

针对武器装备科研经费分配难的问题，首先，考虑了不同武器装备研制费用随时间的分布模型，其次，在满足多种现实约束的情况下，以分配方案最大化满足经费需求为目标建立了数学规划模型，并设计了基于差分进化的求解算法。针对模型的特殊性，设计了特殊的编码方式，以满足各种现实约束。最后，通过一个示例验证了该模型和算法的有效性，可以为武器装备科研经费规划提供决策支持。

英文摘要：

Aiming at difficulties in the weapon equipment scientific research budgets allocation problems, time-dependent research and development cost distribution models of weapon systems are taken into considera- tion firstly. Then a new mathematical planning model is established under the condition of meeting various con- straints in reality, whose obiective function is set as the maximum of meeting budget needs. A solving algorithm is put forward based on differential evolution. According to the particularities of the solving model, a special coding data structure which can satisfy various constraints in reality is proposed. Finally, a case is studied to demonstrate the effectiveness of the proposed model and algorithm, which can support the decision making on the allocation of weapon scientific research budgets.