Abstract This paper presents a decision making model that considers distribution centers locating, pickup and delivery vehicle routing, and direct shipment simultaneously. The goal is to optimize the distribution centers’ location, the delivery, pickup, and direct shipment routes so that the total costs are minimized. Two types of delivery modes are considered. In the first type, each vehicle loads the same type of products and in the second type, each vehicle is allowed to load multiple types of products. An integrated mixed integer linear programming model was formulated for each delivery type. Computational experiments were conducted to validate the models. Three solution methods: deterministic mode, opportunistic mode, and benders decomposition algorithm in CPLEX have been analyzed.

中文翻译：

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具有位置路由和直接发货的多产品取货和交付供应链设计

摘要 本文提出了一种同时考虑配送中心选址、取货和配送车辆路径、直接发货的决策模型。目标是优化配送中心的位置、交货、取货和直运路线，从而使总成本最小化。考虑了两种类型的递送模式。在第一种类型中，每辆车装载相同类型的产品，在第二种类型中，允许每辆车装载多种类型的产品。为每种交付类型制定了一个集成的混合整数线性规划模型。进行了计算实验以验证模型。分析了 CPLEX 中的三种求解方法：确定性模式、机会模式和 Benders 分解算法。