We study a supplier selection and order quantity allocation problem in a two-stage supply chain, which is composed of a set of potential suppliers and a single buyer/retailer trading one product. The demand at the buyer's stage is price-sensitive and suppliers have finite production rates. Within this framework, the optimization of the supply chain is evaluated by considering the performance of both stages and guaranteeing their profitability through a coordination mechanism based on profit-sharing. Two mixed integer nonlinear programming models are presented under different lot-sizing policies to determine the optimal set of selected suppliers, retail price, and order quantity and number of orders per order cycle for each selected supplier. The structure of the models' solutions is examined by deriving properties of the optimal supplier selection and order quantity allocation scheme. Numerical examples are also provided to illustrate the applicability of the proposed models.

我们研究了两阶段供应链中的供应商选择和订单数量分配问题，该阶段由一组潜在供应商和一个购买一种产品的单个买方/零售商组成。买方阶段的需求对价格敏感，供应商的生产率有限。在此框架内，通过考虑两个阶段的绩效并通过基于利润共享的协调机制来保证其盈利能力，来评估供应链的优化。在不同的批量策略下，提出了两种混合整数非线性规划模型，用于确定所选供应商的最佳集合，零售价格以及每个所选供应商的订单数量和每个订单周期的订单数量。模型的结构 通过推导最佳供应商选择和订单数量分配方案的属性来检验解决方案。还提供了数值示例来说明所提出模型的适用性。