Economic cost models of integrated APC controlled SPC charts

M. Park · Myong Kee Jeong · A.M.S. Hamouda · Khalifa N. Al‐Khalifa · Elsayed A. Elsayed

16 citations0/0 files storedInternational Journal of Production Research

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Advanced Statistical Process Monitoring Management and Optimization Techniques Fault Detection and Control Systems

Abstract

In this paper, an economic cost model is proposed for processes integrating both automatic process control (APC) and statistical process control (SPC) for quality monitoring and control. Both the special cause and common cause variations are reduced by applying integrated APC and SPC. Traditionally, the integrated processes using APC and SPC are evaluated by the average run length (ARL). However, ARL may not be appropriate as a measurement of the economic design since it does not take into consideration the run length variation. Also, there are few studies that compare the cost models of such an integrated control system and the effect of cost parameters using different APC controllers. Therefore, we develop an economic cost model using non-homogenous Poisson process to describe the occurrence of an APC adjustment and develop a long run expected cost to investigate the use of different controllers in such integrated systems. Numerical examples are presented to demonstrate the applicability of the proposed model.

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1977Time Series Analysis: Forecasting and Control 1971Time Series Analysis Forecasting and Control.1978Time Series Analysis: Forecasting and Control.1962International Journal of Production Research 2008Introduction to Quality Engineering 1956The Economic Design of X Charts Used to Maintain Current Control of a Process 1985Off-Line Quality Control, Parameter Design, and the Taguchi Method 1999Research Issues and Ideas in Statistical Process Control

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2016Process control and economic cost design for total quality management 2017Monitoring and control of beta-distributed multistage production processes 2017Combining process and product information for quality improvement

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