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Economic-statistical design of synthetic np chart with estimated process parameter

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  • Ming Ha Lee
  • Michael B C Khoo
  • XinYing Chew
  • Patrick H H Then

Abstract

The economic-statistical design of the synthetic np chart with estimated process parameter is presented in this study. The effect of process parameter estimation on the expected cost of the synthetic np chart is investigated with the imposed statistical constraints. The minimum number of preliminary subgroups is determined where an almost similar expected cost to the known process parameter case is desired for the given cost model parameters. However, the available number of preliminary subgroups in practice is usually limited, especially when the number of preliminary subgroups is large. Consequently, the optimal chart parameters of the synthetic np chart are computed by considering the practical number of preliminary subgroups in which the cost function is minimized. This leads to a lower expected cost compared to that of adopting the optimal chart parameter corresponding to the known process parameter case.

Suggested Citation

  • Ming Ha Lee & Michael B C Khoo & XinYing Chew & Patrick H H Then, 2020. "Economic-statistical design of synthetic np chart with estimated process parameter," PLOS ONE, Public Library of Science, vol. 15(4), pages 1-11, April.
    • Handle: RePEc:plo:pone00:0230994
    DOI: 10.1371/journal.pone.0230994
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    References listed on IDEAS

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    1. Shu Wu & Philippe Castagliola & Michael B. C. Khoo, 2016. "Run rules based phase II c and np charts when process parameters are unknown," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(4), pages 1182-1197, February.
    2. Ming Ha Lee & Michael B. C. Khoo, 2019. "Economic-statistical design of synthetic double sampling T2 chart," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(23), pages 5862-5876, December.
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    Cited by:

    1. Johannssen, Arne & Chukhrova, Nataliya & Castagliola, Philippe, 2022. "The performance of the hypergeometric np chart with estimated parameter," European Journal of Operational Research, Elsevier, vol. 296(3), pages 873-899.

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    1. Johannssen, Arne & Chukhrova, Nataliya & Castagliola, Philippe, 2022. "The performance of the hypergeometric np chart with estimated parameter," European Journal of Operational Research, Elsevier, vol. 296(3), pages 873-899.

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