An exponentially weighted moving average scheme with variable sampling intervals for monitoring linear profiles |
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| Affiliation: | 1. School of Mathematical and Computer Sciences, Heriot-Watt University Malaysia, 62200 Putrajaya, Malaysia;2. School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia;3. Nantes Université & LS2N UMR 6004, Ave. du Professeur Jean Rouxel, BP 539, Carquefou 44475, France;4. School of Materials & Mineral Resources Engineering, Universiti Sains Malaysia, 14300 Penang, Malaysia;1. Department of Systems Engineering and Engineering Management, City University of Hong Kong, Kowloon Tong, Hong Kong;2. School of Management, Universiti Sains Malaysia, 11800 Penang, Malaysia;3. School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia;4. Department of Community Health Sciences, University of Manitoba, Winnipeg, Manitoba, Canada;1. University of Leipzig, Germany;2. CESifo Munich, Germany |
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| Abstract: | This paper proposes an exponentially weighted moving average scheme with variable sampling intervals for monitoring linear profiles. A computer program in Fortran is available to assist in the design of the control chart and the algorithm of the Fortran program is also given. Some useful guidelines are also provided to aid users in choosing parameters for a particular application. Simulation results on the detection performance of the proposed control chart, compared with some other competing methods show that it provides quite robust and satisfactory performance in various cases, including intercept shifts, slope shifts and standard deviation shifts. A real data example from an optical imaging system is employed to illustrate the implementation and the use of the proposed control scheme. |
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