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A control point methodology for CUSUM control charts
Affiliation:1. Department of Industrial and Manufacturing Systems Engineering, Kansas State University, Manhattan, KS 66506, USA;2. Department of Industrial Engineering, Texas A&M University, College Station, TX 77843, USA;1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China;2. Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China, Northeastern University, Shenyang 110819, China;1. Shanghai Key Laboratory of Digital Manufacture for Thin-Walled Structures, Shanghai Jiao Tong University, Shanghai 200240, PR China;2. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, PR China;1. Department of Industrial Engineering and Management Systems, University of Central Florida, 4000 Central Florida blvd., Orlando, FL 32816, USA;2. Centre for Environmental Policy, Imperial College London, 14 Prince’s Gardens, London SW7 1NA, UK
Abstract:A control point methodology (CPM) is proposed for implementation of graphical cumulative-sum (CUSUM) control charts on computers. Currently, most computer implementation of CUSUM charts is based on tabular form which loses the distinguished look of CUSUM statistics and V-mask. The more intuitive graphical CUSUM charts are not popular due to the difficulty of computer implementation. CPM removes the need to store all CUSUM points and thus reduces computing time. Examples are given to show that the proposed method can be applied to CUSUM for both means and ranges.
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