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Monitoring the coefficient of variation using a variable sample size control chart in short production runs

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Abstract

Monitoring the coefficient of variation (CV) is an effective approach to monitor a process when both the process mean and the standard deviation are not constant but, nevertheless, proportional. Until now, few contributions have investigated the monitoring of the CV for short production runs. This paper proposes an adaptive Shewhart control chart implementing a variable sample size (VSS) strategy in order to monitor the coefficient of variation in a short production run context. Formulas for the truncated average run length are derived. Moreover, a comparison is performed with a Fixed Sampling Rate Shewhart chart for the CV in order to evaluate the performance of each chart in a short run context. An example illustrates the use of this chart on real data.

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Authors and Affiliations

  1. Institut Superieur de Gestion, Universite de Tunis, Tunis, Tunisia

    Asma Amdouni

  2. LUNAM Université, IRCCyN UMR CNRS, Université de Nantes, 6597, Nantes, France

    Philippe Castagliola

  3. Higher Institute of Business Administration of Gafsa, University of Gafsa, Gafsa, Tunisia

    Hassen Taleb

  4. Department of Industrial Engineering, University of Catania, Catania, Italy

    Giovanni Celano

Authors
  1. Asma Amdouni
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  2. Philippe Castagliola
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  3. Hassen Taleb
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  4. Giovanni Celano
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Corresponding author

Correspondence to Philippe Castagliola.

Additional information

This work is partially funded by the EGIDE Utique PHC program 13G1109/ 28771XE and the University of Gafsa.

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Amdouni, A., Castagliola, P., Taleb, H. et al. Monitoring the coefficient of variation using a variable sample size control chart in short production runs. Int J Adv Manuf Technol 81, 1–14 (2015). https://doi.org/10.1007/s00170-015-7084-4

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  • DOI: https://doi.org/10.1007/s00170-015-7084-4

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