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A new approach for the economic design of fully adaptive control charts

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  • Nenes, George

Abstract

This paper proposes a unified approach for the development of economically designed Variable-parameter (Vp) -Shewhart, -CUSUM and -EWMA control chart models, for monitoring the process mean in infinite-horizon production runs. The use of the models allows at each sampling epoch the determination of the scheme parameters that minimize the quality-related expected cost of the procedure based on the actual value of the chart statistic. The models are simple and fast as they avoid the inaccuracies and inefficiencies associated with the interim computation of statistical performance measures such as ANSS, ANOS, etc. The effectiveness of the schemes is evaluated by comparing their optimal expected costs against each other and against the costs of Fixed-parameter (Fp) charts. These comparisons demonstrate the superiority of Vp -CUSUM and Vp -EWMA charts over Vp -Shewhart charts which in turn are economically superior to Fp control charts.

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  • Nenes, George, 2011. "A new approach for the economic design of fully adaptive control charts," International Journal of Production Economics, Elsevier, vol. 131(2), pages 631-642, June.
    • Handle: RePEc:eee:proeco:v:131:y:2011:i:2:p:631-642
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    References listed on IDEAS

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    1. Bai, D. S. & Lee, K. T., 2002. "Variable sampling interval control charts with an improved switching rule," International Journal of Production Economics, Elsevier, vol. 76(2), pages 189-199, March.
    2. Costa, Antonio F. B. & De Magalhaes, Maysa S., 2005. "Economic design of two-stage charts: The Markov chain approach," International Journal of Production Economics, Elsevier, vol. 95(1), pages 9-20, January.
    3. Bai, D. S. & Lee, K. T., 1998. "An economic design of variable sampling interval control charts," International Journal of Production Economics, Elsevier, vol. 54(1), pages 57-64, January.
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    Cited by:

    1. Celano, Giovanni & De Magalhães, Maysa S. & Costa, Antonio F.B. & Fichera, Sergio, 2011. "A stochastic shift model for economically designed charts constrained by the process stage configuration," International Journal of Production Economics, Elsevier, vol. 132(2), pages 315-325, August.
    2. Xiao, Xiao & Jiang, Wei & Luo, Jianwen, 2019. "Combining process and product information for quality improvement," International Journal of Production Economics, Elsevier, vol. 207(C), pages 130-143.
    3. Moura Neto, F. & Souza, P. & de Magalhães, M.S., 2019. "Determining baseline profile by diffusion maps," European Journal of Operational Research, Elsevier, vol. 279(1), pages 107-123.
    4. Chenglong Li & Amitava Mukherjee & Qin Su & Min Xie, 2016. "Optimal design of a distribution-free quality control scheme for cost-efficient monitoring of unknown location," International Journal of Production Research, Taylor & Francis Journals, vol. 54(24), pages 7259-7273, December.
    5. Lee, Pei-Hsi & Torng, Chau-Chen & Liao, Li-Fang, 2012. "An economic design of combined double sampling and variable sampling interval X¯ control chart," International Journal of Production Economics, Elsevier, vol. 138(1), pages 102-106.
    6. Naderkhani, Farnoosh & Makis, Viliam, 2016. "Economic design of multivariate Bayesian control chart with two sampling intervals," International Journal of Production Economics, Elsevier, vol. 174(C), pages 29-42.
    7. Lim, S.L. & Khoo, Michael B.C. & Teoh, W.L. & Xie, M., 2015. "Optimal designs of the variable sample size and sampling interval X¯ chart when process parameters are estimated," International Journal of Production Economics, Elsevier, vol. 166(C), pages 20-35.
    8. Khoo, Michael B.C. & Teoh, W.L. & Castagliola, Philippe & Lee, M.H., 2013. "Optimal designs of the double sampling X¯ chart with estimated parameters," International Journal of Production Economics, Elsevier, vol. 144(1), pages 345-357.

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