Análisis de los efectos de la existencia de autocorrelación sobre la gráfica c de control de atributos utilizando el modelo inar(1)

Authors

  • Sergio M. Buzzi Facultad de Ciencias Económicas. Universidad Nacional de Córdoba.
  • Mara Llop Facultad de Ciencias Económicas. Universidad Nacional de Córdoba.
  • Andrea F. Riguetti Facultad de Ciencias Económicas. Universidad Nacional de Córdoba.
  • Silvia Joekes Facultad de Ciencias Económicas. Universidad Nacional de Córdoba.

Keywords:

statistical process control, C-chart, time series, autocorrelation, INAR(1) model

Abstract

The central aim of this paper is to analyze the implications of the existence of autocorrelation in the c-chart for attributes control. In order to this, the strategy adopted is to generate data with similar distribution to Poisson distribution but introducing autocorrelation, which is performed using an integer autoregressive model of order one (INAR (1)). Then, the simulated data is used to analyze the performance of the above-mentioned graph, finding that its capacity to detect changes in the process mean is not affected.

Finally, we propose a runs rule to detect out of control proceses due to changes in the autocorrelation and we analyze its performance using simulation techniques.

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References

AL-OSH, M.; ALZAID, A. (1987): ?FIRST-ORDER INTEGER-VALUED AUTORREGRESIVE (INAR(1)) PROCESS?. Journal of Time Series Analysis – Vol. 8(3) – pgs. 261, 275.

ALWAN, L. C.; ROBERTS, H. V. (1988): ?TIME SERIES MODELING FOR STATISTICAL PROCESS CONTROL?. Journal of Business and Economic Statistics – Vol. 6(1) – pgs. 87, 95.

MCKENZIE, E. (1985): ?SOME SIMPLE MODELS FOR DISCRETE VARIATE TIME SERIES?. Water Resources Bulletin – Vol. 21(4) – pgs. 645, 650.

MONTGOMERY, D. (2005): Introduction to Statistical Quality Control – Fifth Edition, John Wiley and Sons.

WEIB, C. H. (2007): ?CONTROLLING CORRELATED PROCESSES OF POISSON COUNTS?. Quality and Reliability Engineering International – Vol. 23(6) – pgs. 741, 754.

WESTERN ELECTRIC COMPANY (1956): Statistical Quality Control Handbook, Indianapolis.

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Published

2018-06-14

Issue

Section

Artículos Científicos

How to Cite

Análisis de los efectos de la existencia de autocorrelación sobre la gráfica c de control de atributos utilizando el modelo inar(1). (2018). Revista De La Escuela De Perfeccionamiento En Investigación Operativa, 21(34), 81-90. https://revistas.unc.edu.ar/index.php/epio/article/view/20308