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Constructing control charts for a process with Rayleigh distributed output
https://doi.org/10.32446/0368-1025it.2022-11-17-24
Abstract
Control charts are the important tool of the statistical process control that is intended to achieve the quality of product. Currents standards describe construction of control charts for processes with normally distributed output. The two-parameter generalization of Rayleigh distribution was found in some cases, particularly for internal and external cylindrical surfaces diameters under a defi nite locating and processing method. This article explains constructing Shewhart control charts for monitoring variation and shift of the process having the appointed distribution of quality characteristic. The results of the previous researches of the test statistics distributions were used. The quantiles of the distributions and other coeffi cients used for control chats constructing are presented. The example of the control charts construction is given. The results are applicable in statistical process control in quality management systems in addition to the standardized statistical methods, which are oriented to normally distributed data.
Keywords
measurement inspection,
sampling,
sampling plan,
statistical methods of quality management,
statistical process control,
control charts,
Rayleigh distribution
Supporting agencies: This work was supported financially by the Ministry of Science and Higher Education of the Russian Federation (project no. FSFS-2021-0003). The study was carried out on the equipment of the Centre of collective use “State Engineering Center” of MSUT “STANKIN” supported by the Ministry of Higher Education of the Russian Federation (project № 075-15-2021-695 from 26.07.2021, unique identifier RF-2296.61321X0013)
About the Authors
S. N. Grigoriev
Moscow State University of Technology “STANKIN”
Russian Federation
Russian Federation
Sergey N. Grigoriev
Moscow
P. N. Emelianov
Moscow State University of Technology “STANKIN”
Russian Federation
Russian Federation
Petr N. Emelianov
Moscow
D. A. Masterenko
Moscow State University of Technology “STANKIN”
Russian Federation
Russian Federation
Dmitry A. Masterenko
Moscow
S. E. Ped
Moscow State University of Technology “STANKIN”
Russian Federation
Russian Federation
Sergey E. Ped
Moscow
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Review
For citations:
Grigoriev S.N., Emelianov P.N., Masterenko D.A., Ped S.E. Constructing control charts for a process with Rayleigh distributed output. Izmeritel`naya Tekhnika. 2022;(11):17-24. (In Russ.) https://doi.org/10.32446/0368-1025it.2022-11-17-24
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