Abstract This paper proposes an integrated model for a multi-period reverse logistics (RL) network design problem under return and demand uncertainty. The reverse logistics network is modeled as a two-stage stochastic programming model to make strategic and tactical decisions. The strategic decisions are the first stage decisions in establishing network’s facilities and tactical decisions are the second stage decisions on material flow, inventory, backorder, shortage, and outsourcing. The uncertainties considered in this study are the primary market return and secondary market demand. The model aims to determine optimal numbers of sorting centers and warehouses, optimal lot sizes, and transportation plan that minimize the expected total system cost over the planning horizon. A case study was conducted to validate the proposed model. Numerical results indicate that the stochastic model solution outperforms result of expected value solution.

中文翻译：

---

具有批量大小的多周期逆向物流网络设计的两阶段随机规划模型

摘要 本文针对退货和需求不确定下的多周期逆向物流 (RL) 网络设计问题提出了一个集成模型。逆向物流网络被建模为两阶段随机规划模型，以做出战略和战术决策。战略决策是建立网络设施的第一阶段决策，战术决策是物流、库存、缺货、短缺和外包的第二阶段决策。本研究考虑的不确定性是一级市场回报和二级市场需求。该模型旨在确定分拣中心和仓库的最佳数量、最佳批量大小和运输计划，以在计划范围内将预期的总系统成本降至最低。进行了案例研究以验证所提出的模型。