中文摘要：

在对库存控制策略研究的基础上，针对带有服务水平约束的两级维修备件库存系统控制优化问题，提出了基于最短路径调度的分布式库存控制优化数学模型及其求解算法和基于多元线性回归的总存储库存控制优化仿真模型，实现了对两级维修备件库存系统控制参数的优化。仿真结果①表明了最短路径维修备件调度方法不仅可以提高分布式库存系统的服务水平，还可以有效降低库存成本和订货量的波动；②证明了基于多元线性回归的总存储库存控制优化数学模型的正确性。

英文摘要：

Aim. Our method is, in our opinion, advanced in the sense that it is better than existing methods that we know in the open literature. The inventory control system we deal with includes one center warehouse and one distributive inventory control system with n sub-warehouses. In section 1 of the full paper, we explain the symbols used. Section 2 points out that the distributive inventory control system optimization model, which considers random horizontal replenishment of spare parts in sub-warehouses, can give an optimal set of inventory control parameters （Si,si） based on the shortest path-optimization algorithm for horizontal replenishment with service level constraints. In section 3, we establish the center warehouse＇s inventory control parameters （Q,s） optimization model using multiple linear regression. In section 4, we perform the numerical simulation of our optimization method. The simulation results, given in Tables 1 through 7 and Figs. 1 and 2, show preliminarily that the optimization method is effective for reducing inventory costs of spare parts and the fluctuation of orders while enhancing service level. The simulation results also show preliminarily that our method, compared with other optimization methods without random horizontal replenishment, is advanced.