Radiotekhnika
Publishing house Radiotekhnika

"Publishing house Radiotekhnika":
scientific and technical literature.
Books and journals of publishing houses: IPRZHR, RS-PRESS, SCIENCE-PRESS


Тел.: +7 (495) 625-9241

 

Multivariate statistical control charts for process dispersion

Keywords:

T.I. Svyatova – the post-graduate student of chair «Applied mathematics and computer science» Ulyanovsk State Technical University. E-mail: tatyana.krasko@rambler.ru
V.N. Klyachkin – Dr. Sci. (Eng.), professor of chair «Applied mathematics and computer science» Ulyanovsk State Technical University. E-mail: v_kl@mail.ru


In multivariate statistical control of process dispersion usually used generalized variance control chart, but its sensitivity is often insufficient to detect a small increase of process dispersion. To increase the sensitivity of control proposed to use cumulative sum and exponentially weighted moving average charts for the generalized variance. The choice of type of a chart, the most effective for concrete process, is defined by results of statistical tests. The data flow of technological process on the basis of multidimensional normal distribution with a vector of averages and a covariate matrix corresponding to investigated process is generated. It is thus modeled dispersion increases. The obtained data are investigated by means of various types of charts of multidimensional dispersion: the average run length of series for each type of charts is estimated on set simulated samples.
References:

  1. Uiler D., Chambers D. Statisticheskoe upravlenie proczessami. Optimizacziya biznesa s ispol'zovaniem kontrol'ny'x kart Shuxarta. M.: Al'pina Biznes Buks. 2009. 409 s.
  2. Montgomery D.C. Introduction to statistical quality control. New York: John Wiley and Sons. 2009. 754 p.
  3. Klyachkin V.N. Modeli i metody' statisticheskogo kontrolya mnogoparametricheskogo texnologicheskogo proczessa. M.: Fizmatlit. 2011. 196 s.
  4. Vasil'ev K.K., Krasheninnikov V.R. Statisticheskij analiz mnogomerny'x izobrazhenij. Ul'yanovsk: UlGTU. 2007. 170 s.
  5. Aparisi F., Jabaloyes J., Carrion A. Statistical properties of the |S| multivariate control chart // Comm. In Statistics Theory and Methods. 1999. V. 28. № 11. R. 2671-2686.
  6. Klyachkin V.N., Svyatova T.I. Statisticheskij kontrol' texnologicheskogo rasseyaniya v mnogoparametricheskom proczesse // Avtomatizacziya i sovremenny'e texnologii. 2013. № 12. S. 22-25.
  7. Klyachkin V.N., Kravczov Ju.A., Svyatova T.I. Metody' povy'sheniya e'ffektivnosti mnogomernogo statisticheskogo kontrolya // Naukoemkie texnologii. 2013. № 5. S. 53-58.
  8. GOST R 50779.45-2002. Statisticheskie metody'. Kontrol'ny'e karty' kumulyativny'x summ. Osnovny'e polozheniya.

Sept. 2, 2020
Aug. 27, 2020
June 24, 2020

© Издательство «РАДИОТЕХНИКА», 2004-2017            Тел.: (495) 625-9241                   Designed by [SWAP]Studio