多约束下备件多层多级库存优化模型

备件库存优化是提高装备保障效率和战备完好性的有效途径之一，针对目前部队现有多约束多层多级备件供应模式及工程实践要求的问题，以舰艇编队索马里护航任务准备阶段备件携带方案优化为研究背景，以舰艇保障经费、载荷和仓库体积为约束条件，以舰艇编队期望短缺数最小和可用度最大为目标函数，运用拉格朗日乘子法和边际效应法求出舰艇编队最优多层多级备件携带方案。通过实例将优化前后基地和后方仓库备件总的质量、体积及费用与对应约束指标上限进行对比分析，结果表明：本文模型和方法可以有效解决编队备件携带问题，同时也可为其他领域解决此类问题提供借鉴。

Optimal inventory modeling of spare parts multi-indenture multi-echelon under multi-constraints

One possible way to improve the efficiency of equipment support and readiness is to optimize spare parts inventory, for the existing studies can't adjust to the demands of multi-indenture multi-echelon spare parts supply modes under multi-constraints and meet the requirements of the engineering practice in the army. Optimizing the spare parts carrying project of the warship formation dispatches to fight pirates in Somalian waters during the mission preparation phase is taken as the study background. The support costs, tonnage and warehouse space of warship are used as constraint conditions, and the minimum expect back order and maximal availability are used as the target function. Optimal spare parts carrying project of the warship formation, multi-indenture multi-echelon is obtained by Lagrange multiplier method and marginal method. The total spare parts support costs, mass and volume of bases and rear warehouse are compared with the constraints index upper limit before and after optimization by example. The analysis of the example shows that the models and methods of this paper can solve the problems of the warship formation carrying spare parts, and at the same time provide the references for dealing with such problems in other areas.