关键词: 统计过程控制, 经济生产批量, 控制图设计, 质量损失函数, 总期望成本

Abstract: An integrated design model based on traditional Economic Production Quality (EPQ) model and economic design of control chart was proposed. In this model, production process was considered as an imperfect process, therefore taguchi's quality loss function were introduced and the production process was divided into three states. Control chart with warning limits was adopted to monitor the state of the production process and corresponding quality loss fuction was defined respectively. The compositive optimal solution of EPQ and control chart parameters setting was obtained so as to minimize the total expected production cost. The pattern research algorithm was applied to solve the problem, moreover, a case study and sensitivity analysis were presented to verify the effectiveness of the model.

Key words: statistical process control, economic production quantity, control chart design, quality loss function, total expected production cost, quality control