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Entire product capability analysis chart with asymmetric tolerances index Spa

  • Received: 05 August 2020 Accepted: 26 October 2020 Published: 03 November 2020
  • This study proposes the Spa-product capability analysis chart (Spa-PCAC), which can widely represent multiple process capabilities with asymmetric tolerances of Smaller-the-Better, Larger-the-Better, and Nominal-the-Best characteristics. Process capability index Spa is generated based on index Spk, which uses asymmetric tolerances to reasonably measure process capabilities. The interval estimates of the indices are derived to reliably assess process capabilities. The Six-Sigma-based quality-level and its connection with the process yield are introduced in the capability zone of Spa-PCAC to check if the process capabilities can meet the requirements. One example of an entire product is given for application.

    Citation: Chun-Min Yu, Kun-Tzu Yu, Kuen-Suan Chen. Entire product capability analysis chart with asymmetric tolerances index Spa[J]. Mathematical Biosciences and Engineering, 2020, 17(6): 7605-7620. doi: 10.3934/mbe.2020387

    Related Papers:

  • This study proposes the Spa-product capability analysis chart (Spa-PCAC), which can widely represent multiple process capabilities with asymmetric tolerances of Smaller-the-Better, Larger-the-Better, and Nominal-the-Best characteristics. Process capability index Spa is generated based on index Spk, which uses asymmetric tolerances to reasonably measure process capabilities. The interval estimates of the indices are derived to reliably assess process capabilities. The Six-Sigma-based quality-level and its connection with the process yield are introduced in the capability zone of Spa-PCAC to check if the process capabilities can meet the requirements. One example of an entire product is given for application.


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