中文摘要：

为提高逆向物流系统的整体运营绩效,从系统集成优化的角度考虑回收中心选址、收集车辆路径安排以及回收点与回收中心的两级库存控制的联合决策,采用混合整数规划方法建立了一个回收商管理库存（CMI）模式下的逆向物流系统多周期定位-路径-库存问题（LRIP）优化模型,并设计了一种先定位-分配、后安排路径的两阶段启发式算法。算例分析结果表明,CMI模式与非CMI模式下的LRIP相比,总费用降低了28.05%。

英文摘要：

To enhance the operational performance of reverse logistics systems,the joint decision of locating recycle centers,scheduling routes of collection vehicles,and controlling the two-echelon inventory at recycle centers and collection sites was considered from the point view of integrated optimization.A mixed integer programming model for multi-period location-routing-inventory problem（LRIP） in reverse logistics systems based on collector managed inventory（CMI） was developed.And a two-phase heuristic algorithm using location-allocation first,route-second approach was proposed.The results of a numerical example show that the total cost of LRIP under CMI is lower than that under non-CMI by 28.05%.