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On Cumulative Conforming Type of Control Charts for High Quality Processes Under Sampling Inspection

Author

Listed:
  • Zhang C. W.

    (Dept of Industrial and Systems Engineering, National University of Singapore, Kent Ridge Crescent, Singapore 119 260)

  • Xie M.

    (Dept of Industrial and Systems Engineering, National University of Singapore, Kent Ridge Crescent, Singapore 119 260)

  • Goh T. N.

    (Dept of Industrial and Systems Engineering, National University of Singapore, Kent Ridge Crescent, Singapore 119 260)

Abstract

Control charts for high quality processes based on counting cumulative conforming items have attracted a lot of attention recently. However, such charting procedures usually apply when items are inspected one by one. There are situations that products are inspected sample by sample for practical or economic reasons. In such situations, the application of conventional cumulative conforming type of control charts based on the assumption of geometric or negative binomial distribution is challenged. To solve the related problem, in this paper we propose a new cumulative conforming type of control chart, called CCS (cumulative conforming samples) chart. The ANI (average number of items inspected) performance of CCS chart is examined. The advantage of CCS chart is discussed. Furthermore, the issue of correlation within samples is also addressed. The effect of correlation on the performance of CCS chart is investigated.

Suggested Citation

  • Zhang C. W. & Xie M. & Goh T. N., 2005. "On Cumulative Conforming Type of Control Charts for High Quality Processes Under Sampling Inspection," Stochastics and Quality Control, De Gruyter, vol. 20(2), pages 205-222, January.
    • Handle: RePEc:bpj:ecqcon:v:20:y:2005:i:2:p:205-222:n:5
    DOI: 10.1515/EQC.2005.205
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    References listed on IDEAS

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    1. Wu, Zhang & Zhang, Xiaolan & Yeo, Song Huat, 2001. "Design of the sum-of-conforming-run-length control charts," European Journal of Operational Research, Elsevier, vol. 132(1), pages 187-196, July.
    2. Chan, L. Y. & Lai, C. D. & Xie, M. & Goh, T. N., 2003. "A two-stage decision procedure for monitoring processes with low fraction nonconforming," European Journal of Operational Research, Elsevier, vol. 150(2), pages 420-436, October.
    3. Patrick Bourke, 2001. "The geometric CUSUM chart with sampling inspection for monitoring fraction defective," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(8), pages 951-972.
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