中文摘要：

将产品属性抽象为各类参数并依据实际经营目标进行数学规划求解，是产品族设计的核心内容。作为现实问题与数学规划模型的中介，概念模型是一种服务于数学建模的分析框架。产品族设计流程分解是构建概念模型的基础。通过细致研究各阶段决策重点对于数学规划模型四类基本要素的影响，构建并完善了面向产品族优化设计的概念模型。最后，通过某PCB生产企业BUM产品族设计过程中数学建模的简化实例，对概念模型的使用做出了形象阐述。

英文摘要：

According to the actual business target, the key content of product family design is to translate the product attributes into all kinds of parameters and gain reasonable configuration by solving mathematical programming. As the intermediary between real problem and mathematical programming model, conceptual model is an analysis framework servicing mathematical modeling. The decomposition of product family design process has a basic status to build the conceptual model. In dealing with the requirement of mathematical modeling during product family design optimization process, the meaning and function of the conceptual model has been explained. Furthermore, to obtain a competitive advantage, the impact of product family design on mathematical programming model is studied in depth. Finally, through the BUM product family optimal design case of a PCB manufacturer, the mechanism of the conceptual model is described vividly.