This paper proposes a mathematical model in the context of agro-supply chain management, considering specific characteristics of agro-products to assist purchase, storage, and transportation decisions. In addition, a new method for determining the required quality score of different types of products is proposed based on their loss factors and purchasing costs. The model aims to minimize total cost imposed by purchasing fresh products, opening warehouses, holding inventories, operational activities, and transportation. Two sets of examples, including small and medium-sized problems, are implemented by general algebraic modeling language (GAMS) software to evaluate the model. Then, Benders decomposition (BD) algorithm is applied to tackle the complexity of solving large-sized instances. The results of both GAMS and BD are compared in terms of objective function values and computational time to demonstrate the efficiency of the BD algorithm. Finally, the model is applied in a real case study involving an apple supply chain to obtain managerial insights.

本文在农产品供应链管理的背景下提出了一个数学模型，考虑农产品的具体特征来辅助采购、储存和运输决策。此外，还提出了一种根据不同类型产品的损失因素和采购成本确定所需质量分数的新方法。该模型旨在最大限度地降低采购生鲜产品、开设仓库、持有库存、运营活动和运输所产生的总成本。用通用代数建模语言（GAMS）软件实现了两组例子，包括中小型问题，对模型进行评估。然后，应用 Benders 分解 (BD) 算法来解决求解大型实例的复杂性。将 GAMS 和 BD 的结果在目标函数值和计算时间方面进行比较，以证明 BD 算法的效率。最后，将该模型应用于涉及苹果供应链的真实案例研究，以获得管理见解。