多约束下轨道飞行器备件配置方案建模与优化

针对航空类装备携带备件方案的确定需要综合考虑多项约束指标因素的特点,以轨道飞行器飞入太空随行备件携带方案优化配置为研究背景,在费用、质量及体积3项指标约束条件下,以所有备件期望短缺数总和最小为目标函数,建立了备件配置方案的优化模型.通过设置初始因子初值求出备件初始配置方案,同时引入拉格朗日乘子将各项约束因子转化为保障资源约束因子,采用边际效应法求解并对模型进行优化.最后,对6种方案计算结果进行比较得出备件配置最优方案,并通过实例分析,证明了该方案的科学性和有效性.

A Spare Part Configuration Scheme Model for Orbiter under Multi-Constraints and Its Optimization

Abstract： Due to the restriction of cost, storage space and carrying ability for support resources, and aimed at the multi constraints targets for the optimization scheme for space navigation carrying spare parts, the optimization scheme of orbiter carrying spare parts at the task preparation stage before flying was deemed as a study background. The target expected back order of configuration optimization model of spare parts was established based on multi constraints, such as cost, mass, and volume of spare parts. The initial configuration scheme of spare parts could be obtained by setting the initial value of the initial factor. At the same time, different constraint elements were converted into the scale of spares resource constraint by introducing Lagrange constraint factor. The configuration optimization model was updated by introducing the Marginal algorithm. Finally, the configuration optimization scheme of spare parts was obtained by comparing the results of six projects. In the given example, the calculated result was analyzed, and the feasibility of the proposed method was verified.