Dushyant Tyagi
Department of Mathematics and Statistics, Dr. Shakuntala Misra National Rehabilitation University, Lucknow-226017, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2019.4.5-101

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Abstract

In this paper, the Combined Shewhart-CUSUM control scheme has been proposed to monitor the production process when the quality characteristic follows exponential distribution to quickly detect the shift in the process. The simulated values of ARL are determined after the transformation of the data into approximate normal distribution by Nelson transformation method and adding Shewhart control limits to existing CUSUM Control Chart. Scheme parameters (value of k and h) and out of control ARL are calculated at various shift and at various in-control ARL. Parameters are also calculated to detect δ standard deviation shifts, which may be helpful to the quality control practitioners in designing the Combined Shewhart-CUSUM scheme when data is highly skewed.

Keywords- Combined Shewhart-CUSUM scheme, Exponential distribution, Average runs length, Monte Carlo simulation.

Citation

Tyagi, D. (2019). Designing an Effective Combined Shewhart-CUSUM Control Scheme with Exponentially Distributed Data. International Journal of Mathematical, Engineering and Management Sciences, 4(5), 1277-1286. https://dx.doi.org/10.33889/IJMEMS.2019.4.5-101.