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Variable interval sampling in economical designs for online process control of attributes with misclassification errors

Author

Listed:
  • L Bessegato

    (Universidade de São Paulo (USP))

  • R Quinino

    (Universidade de São Paulo (USP))

  • L L Ho

    (Universidade Federal de Minas Gerais (UFMG))

  • L Duczmal

    (Universidade de São Paulo (USP))

Abstract

Online process control consists of inspecting a single item at every mth items produced, where m is an integer greater than two. Based on the results of the inspection, one decides if the process is in-control (the fraction of conforming item is p 1—state I) or out-of-control (the fraction of conforming item is p 2—state II). If the inspected item is non-conforming, the process is designated as out-of-control and production is stopped for possible adjustment; otherwise, production goes on. In this paper, a contribution to online process control is presented, where the inspection system is considered to be subject to classification errors. After every adjustment, the sampling interval is L units (L⩾m), and in the case of non-adjustment, the sampling interval is m units. The expression for the average cost per produced item is calculated, and optimum parameters (the sampling intervals L and m) are obtained by a direct search. The procedure is illustrated by a numerical example.

Suggested Citation

  • L Bessegato & R Quinino & L L Ho & L Duczmal, 2011. "Variable interval sampling in economical designs for online process control of attributes with misclassification errors," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(7), pages 1365-1375, July.
    • Handle: RePEc:pal:jorsoc:v:62:y:2011:i:7:d:10.1057_jors.2010.79
    DOI: 10.1057/jors.2010.79
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    References listed on IDEAS

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    2. Ming Lee & Michael Khoo, 2014. "Design of a multivariate exponentially weighted moving average control chart with variable sampling intervals," Computational Statistics, Springer, vol. 29(1), pages 189-214, February.

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