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基于备件保障概率的多级库存优化模型 被引量:43

Optimization of Multi-echelon Repairable Item Inventory Systems with Fill Rate as Objective
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摘要 理想的备件配置方案应该通过费用和优化目标之间的综合权衡得出,在传统的多级库存优化模型中常以使用可用度、等待备件时间等参数作为备件库存优化目标,但国内型号研制部门和使用部门在制定备件库存方案时通常以备件保障概率作为优化目标确定备件库存方案。为解决上述问题,首先分析了备件消耗与补给行为;然后,构建了以备件保障概率为目标的多级库存优化模型并对目标函数特性进行分析;其次,基于拉格朗日乘子法原理给出了多级库存计算与优化流程;最后,应用研究结论进行多级库存备件需求量预测,并用商用软件对预测结果进行分析,验证了优化模型的可信性。 A sound inventory system for repairable items is the result of cost-efficiency tradeoff between cost and optimal objective. In conventional multi-echelon repairable item inventory models, the operational availability and the waiting time for spares are always the target, but these parameters are rarely used by the designer or customer. This article addresses the issue of how to construct a model of multi-echelon inventory systems with fill rate as the objective. First, an analysis is performed of the spares consumption and replenishment process with multi-echelon inventory positions. Then an optimized model of multi-echelon inventory system is created and the characteristics of objective function are expatiated, which can generate undominated allocations with marginal analysis. The method of using Lagrange multiplier to deal with the problem is also provided. Finally, based on the research conclusion, stock allocation is given in a numerical study and compared with the result generated by a commercial software. The contrastive analysis shows that the algorithm works well and the feasibility and rationality of the analytical method are validated.
作者 王乃超 康锐
出处 《航空学报》 EI CAS CSCD 北大核心 2009年第6期1043-1047,共5页 Acta Aeronautica et Astronautica Sinica
关键词 备件 保障概率 多级库存 优化 解析计算 spares fill rate multi-echelon inventory optimization analytic algorithm
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参考文献14

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