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基于三站点库存组织研究了备件转运策略对于系统总EBO(expected backorders)的影响。依据三站点库存组织中备件和故障件的消耗与补给过程以及库存控制策略,给出了考虑保障站点供应优先级的手边现货、应得备件数和延期交货量之间的状态方程。通过定义EBO与应得备件数之间的比例系数,将原非线性方程组转化成线性方程组,然后借助线性方程组解的判定法则对方程组解的唯一性进行判定,并结合不动点原理构造柯西列逼近原方程的解。最后,在示例分析中借助MATLAB对两种转运策略(按固定概率转运和按优先级约束转运)下系统总EBO的数值大小进行对比。结果表明:按优先级约束进行备件转运能够在大部分情况下提高备件利用率同时降低系统EBO。此外,通过分析还可以发现,不同备件转运策略对系统总EBO作用效果的显著性主要由转运策略的可行作用空间大小决定,而作用空间的可行变化范围主要由备件请求由本地满足的比率、库存配置方案以及需求率和维修速率决定。
Based on the three-site inventory organization, the effect of spare parts transfer strategy on the expected backorders of the system was studied. According to the consumption and replenishment process of spare parts and defective parts and the inventory control strategy in the three-site stock organization, the equation of state between on-hand stock, required spare parts and delayed delivery considering the supply priority of the stations is given. By defining the proportional coefficient between EBO and the number of spare parts to be prepared, the original nonlinear equations are transformed into linear equations, and then the uniqueness of solutions to the system of equations is judged by the decision rules of the linear equations. Combined with the fixed points The principle of constructing Cauchy Lie approximation of the original equation solution. Finally, MATLAB is used to compare the numerical values of the total EBO of the two transport strategies (fixed-probability transport and priority-constrained transport) in the example analysis. The results show that: Spare parts by priority constraints can improve the utilization of spare parts in the majority of cases while reducing the system EBO. In addition, it can also be found through analysis that the significance of the effect of different spare parts transport strategies on the overall EBO system is mainly determined by the feasible space of trans-shipment strategy, while the feasible range of the operational space is mainly determined by the ratio of spare parts request to local satisfaction, Configuration options and rate of demand and maintenance rate decision.