We consider an Economic Order Quantity (EOQ) model with imperfect quality items. All the items undergo a quality screening process for which both the cost and the defect detection rate depend on the time devoted to this operation. Contrary to most previous research in the field, the speed of screening is taken as a decision variable in the presented model jointly with the order quantity. Additionally, we introduce various functional forms for the screening cost and defect detection functions. In particular, nonlinear forms lead to nonconvexities in the total cost function consisting of multiple cost components, e.g. inspection cost, penalty costs, etc. We solve the model analytically for a selected set of assumptions and provide numerical examples and sensitivity analysis. The results provide interesting insights. While lower screening costs motivate longer screening times, the effectiveness of this operation is only obtained in combination with the reliability of the defect detection method. It is also observed that reducing return rates and improving customer satisfaction can be achieved by adjusting the operational parameters, without a significant increase in system cost or new investments.

我们考虑具有不完美质量项目的经济订货量 (EOQ) 模型。所有项目都经过质量筛选过程，其成本和缺陷检测率取决于此操作所花费的时间。与该领域之前的大多数研究相反，在所提出的模型中，筛选速度与订单数量一起被视为决策变量。此外，我们介绍了筛选成本和缺陷检测功能的各种功能形式。特别是，非线性形式导致由多个成本组成部分组成的总成本函数的非凸性，例如检查成本、惩罚成本等。我们针对一组选定的假设对模型进行解析求解，并提供数值示例和敏感性分析。结果提供了有趣的见解。虽然较低的筛选成本会导致较长的筛选时间，但只有结合缺陷检测方法的可靠性才能获得此操作的有效性。还观察到可以通过调整操作参数来降低退货率和提高客户满意度，而不会显着增加系统成本或新投资。