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An economic inspection interval for control of defective items in a hot rolling mill

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  • Tirthankar Dasgupta

Abstract

The article addresses a real-life problem on determining the optimum sampling interval for control of defective items in a hot rolling mill. Having observed that the pattern of appearance of mill defects indicates a geometric process failure mechanism, an economic model is developed in line with the method suggested by Taguchi and critically examined by Nayebpour & Woodall. An expression for the expected loss per product as a function of the sampling interval is derived and the optimum interval is obtained by minimizing this loss function. The practical issues involved in this exercise, such as estimation of various cost components, are also discussed and the effect of erroneous estimation of cost components is studied through a sensitivity analysis.

Suggested Citation

  • Tirthankar Dasgupta, 2003. "An economic inspection interval for control of defective items in a hot rolling mill," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(3), pages 273-282.
    • Handle: RePEc:taf:japsta:v:30:y:2003:i:3:p:273-282
    DOI: 10.1080/0266476022000030057
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    Cited by:

    1. Ho, Linda Lee & Quinino, Roberto C., 2012. "Integrating on-line process control and imperfect corrective maintenance: An economical design," European Journal of Operational Research, Elsevier, vol. 222(2), pages 253-262.
    2. 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.
    3. Ho, Linda Lee & Trindade, Anderson Laécio Galindo, 2009. "Economic design of an X chart for short-run production," International Journal of Production Economics, Elsevier, vol. 120(2), pages 613-624, August.
    4. Costa Quinino, Roberto da & Colin, Emerson C. & Ho, Linda Lee, 2010. "Diagnostic errors and repetitive sequential classifications in on-line process control by attributes," European Journal of Operational Research, Elsevier, vol. 201(1), pages 231-238, February.

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