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Economic design of an X chart for short-run production

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  • Ho, Linda Lee
  • Trindade, Anderson Laécio Galindo

Abstract

The aim of this paper is to present an economical design of an X chart for a short-run production. The process mean starts equal to [mu]0 (in-control, State I) and in a random time it shifts to [mu]1>[mu]0 (out-of-control, State II). The monitoring procedure consists of inspecting a single item at every m produced ones. If the measurement of the quality characteristic does not meet the control limits, the process is stopped, adjusted, and additional (r-1) items are inspected retrospectively. The probabilistic model was developed considering only shifts in the process mean. A direct search technique is applied to find the optimum parameters which minimizes the expected cost function. Numerical examples illustrate the proposed procedure.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:proeco:v:120:y:2009:i:2:p:613-624
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    References listed on IDEAS

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