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Process capability indices C p and C pk under AR (2) process

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  • Mahesh M. Deshpande
  • Vikas B. Ghute

Abstract

Process capability indices are widely used by quality practitioners to quantify the capability of given manufacturing processes. The process capability indices Cp and Cpk are based on the assumptions of independence and normality of the process characteristic. Many authors have reported that ignoring the autocorrelation present in the process characteristics leads to wrong decisions. In this paper, the effect of the autocorrelation on the capability indices Cp and Cpk is discussed. The second order autoregressive process AR (2) is considered to model the data from an autocorrelated process. To reduce the effect of autocorrelation on the indices and the skip and mixed sampling techniques are implemented to form rational subgroups in the design of these indices. Results based on simulation study confirm that both the techniques improve estimates of capability indices Cp and Cpk significantly.

Suggested Citation

  • Mahesh M. Deshpande & Vikas B. Ghute, 2025. "Process capability indices C p and C pk under AR (2) process," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 49(2), pages 158-173.
    • Handle: RePEc:ids:ijisen:v:49:y:2025:i:2:p:158-173
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