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Computer-aided design of X and R charts using teaching-learning-based optimisation algorithm

机译:基于教学优化算法的X和R图表的计算机辅助设计

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Control charts are broadly applied in industries to establish and maintain statistical control of a process which leads to improve the quality and productivity. Design of control charts requires selection of three parameters namely sample size, sampling interval and width of control limits for the chart. The prime aim of the economic design of a control chart is to find the optimal values for control chart parameters such that the total cost of process control would be minimum. This article uses a new population based teaching-learning-based optimisation search algorithm for the joint economic design of X and R control charts that find global minimum for the loss cost function by optimising the design parameters. A MATLAB program has been developed for the computer-aided design of control charts. The algorithm has been tested for as many as 160 sets of numerical data and the results were observed to be superior to that reported in two different papers with respect to cost savings.
机译:控制图广泛应用于工业中,以建立和维护过程的统计控制,从而提高质量和生产率。控制图的设计需要选择三个参数,即图表的样本大小,采样间隔和控制极限的宽度。控制图经济设计的主要目的是找到控制图参数的最佳值,以使过程控制的总成本最小。本文针对X和R控制图的联合经济设计使用一种基于总体的基于教学学习的优化搜索算法,该控制图通过优化设计参数找到损失成本函数的全局最小值。开发了用于计算机辅助控制图设计的MATLAB程序。该算法已针对多达160组数值数据进行了测试,结果在节省成本方面优于两篇论文。

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