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Kriging‐based sequential inspection plans for coordinate measuring machines

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  • P. Pedone
  • G. Vicario
  • D. Romano

Abstract

Kriging models have been extensively used to predict spatial data in geostatistics and, more recently, to approximate the output of deterministic simulation. This paper presents a novel application of kriging in the field of industrial metrology. Exploiting the recognized predictive capability of kriging models, we use them to drive the online construction of sequential plans for inspecting industrial parts on coordinate measuring machines. These machines are universally adopted to check the compliance of parts to dimensional and geometric specifications. In two analyzed case studies kriging‐based inspection plans outperform fixed‐sample plans widespread in industry. Copyright © 2008 John Wiley & Sons, Ltd.

Suggested Citation

  • P. Pedone & G. Vicario & D. Romano, 2009. "Kriging‐based sequential inspection plans for coordinate measuring machines," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 25(2), pages 133-149, March.
    • Handle: RePEc:wly:apsmbi:v:25:y:2009:i:2:p:133-149
    DOI: 10.1002/asmb.746
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    References listed on IDEAS

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    1. J P C Kleijnen & W C M van Beers, 2004. "Application-driven sequential designs for simulation experiments: Kriging metamodelling," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(8), pages 876-883, August.
    2. D den Hertog & J P C Kleijnen & A Y D Siem, 2006. "The correct Kriging variance estimated by bootstrapping," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(4), pages 400-409, April.
    3. Sungmin Park & John W. Fowler & Gerald T. Mackulak & J. Bert Keats & W. Matthew Carlyle, 2002. "D-Optimal Sequential Experiments for Generating a Simulation-Based Cycle Time-Throughput Curve," Operations Research, INFORMS, vol. 50(6), pages 981-990, December.
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    1. Grazia Vicario & Giovanni Pistone, 2018. "Simulated variogram-based error inspection of manufactured parts," Statistical Papers, Springer, vol. 59(4), pages 1411-1423, December.

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