快速反应制造对偶单元授权卡片交叠循环模型

A Modeling Approach to POLCA for Quick Response Manufacturing

在快速反应制造基础上,将对偶单元授权卡片的交叠循环运作机制进行深入研究,改善Little定律中对生产时间、在制品数量等简单的"平均"划分方法,以生产成本与POLCA卡片数量的权重组合成本最小为目标,构建一个全新的非线性数学规划模型,研究对偶单元授权卡片的交叠循环生产系统中最重要的因素——POLCA卡片数量,确定多生产周期内POLCA卡片的全局最优数量,实现整个系统的高效运作。通过两种不同运作模式下的数值实验的求解结果,验证了该模型的合理与有效性,有助于管理者更精确、有效地控制整个生产系统,实现快速反应制造。

Based on the concept of quick response manufacturing （QRM）, the operation mechanism of paired-cell overlapping loops of cards with authorization （POLCA） is analyzed. A fine division method of production periods is proposed to improve the average of the Little＇s Law for lead time and the number of work in process （WIP）. Then a novel mathematical programming formulation is developed for the determination of the number of POLCA cards. By this model, it can minimize the production cost that is a weighted combination of the number of POLCA cards. The global optimal number of POLCA cards is found such that the system operates under high efficiency. By two examples, it shows that the model is reasonable and valid for two different operational modes. The proposed method is helpful for the mangers to accurately and effectively control the whole POLCA system for QRM.