就建模层面而言备件相关的现有研究在考虑横向保障时存在一定的不足.本文选取三站点组成的备件供应保障系统作为研究对象,通过引入站点间的备件供应保障关系实现了将站点间备件纵向保障和横向保障的综合考虑.运用定量化的概率值表征站点间的备件需求关系,基于库存平衡理论建立了应得备件数量、初始库存量、可用库存量和备件短缺数之间的关系表达式.在建立单站点库存平衡方程的基础上,又依据三站点间的供应保障关系联立得到了三站点备件延期交货量方程组.对方程组解的情况进行了分析,在确定其解唯一性的基础上基于压缩映射原理给出了方程组的迭代求解方法.对于简单示例进行了计算,验证了模型的正确性和求解方法的有效性.%For modeling,the existing spares-related researches have insufficient consideration of lateral transshipments.In this paper,the authors select a three-site inventory system as the research object,and by introducing spares supply support relationship between sites,longitudinal and lateral transshipments are considered at the same time.The quantitative probability values are used to represent the spares demand relationship between sites,and based on inventory balance theory,a relationship is established between the number of spares due in,the initial inventory,the number of spares on hand and the number of backorders.Based on the single-site inventory balance equations and the demand supply relations between sites,the three-site spare parts backorder equations are given.Then coefficients-matrix of the equations is found reversible and so the equations have only one unique solution.Then according to the principle of contractive mapping theory,an iterative method is used for solving the equations.Finally,an example is calculated to verify the fitness of the model and the validity of the solving method.
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