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A note on some modified Pulak and Al-Sultan's model

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  • Chung-Ho Chen

Abstract

Pulak and Al-Sultan presented a rectifying inspection plan applying in the determination of optimum process mean. However, they did not point out whether the non-conforming items in the sample of accepted lot are replaced or eliminated from the lot and neglected the quality loss within specification limits. In this paper, we further propose the modified Pulak and Al-Sultan model with quadratic quality loss function. There are four cases considered in the modified model: (1) the non-conforming items in the sample of accepted lot are neither replaced nor eliminated from the lot; (2) the non-conforming items in the sample of accepted lot are not replaced but are eliminated from the lot; (3) the non-conforming items in the sample of accepted lot are replaced by conforming ones; (4) the non-conforming items in the sample of accepted lot are replaced by non-inspected items. The numerical results and sensitivity analysis of parameters show that their solutions are slightly different.

Suggested Citation

  • Chung-Ho Chen, 2010. "A note on some modified Pulak and Al-Sultan's model," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(3), pages 461-472.
    • Handle: RePEc:taf:japsta:v:37:y:2010:i:3:p:461-472
    DOI: 10.1080/02664760902729658
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    1. Hariga, Moncer A. & Al-Fawzan, M.A., 2005. "Joint determination of target value and production run for a process with multiple markets," International Journal of Production Economics, Elsevier, vol. 96(2), pages 201-212, May.
    2. Carlsson, Olle, 1989. "Economic selection of a process level under acceptance sampling by variables," Engineering Costs and Production Economics, Elsevier, vol. 16(1), pages 69-78, February.
    3. Chen, Chung-Ho & Lai, Min-Tsai, 2007. "Determining the optimum process mean based on quadratic quality loss function and rectifying inspection plan," European Journal of Operational Research, Elsevier, vol. 182(2), pages 755-763, October.
    4. Bowling, Shannon R. & Khasawneh, Mohammad T. & Kaewkuekool, Sittichai & Cho, Byung Rae, 2004. "A Markovian approach to determining optimum process target levels for a multi-stage serial production system," European Journal of Operational Research, Elsevier, vol. 159(3), pages 636-650, December.
    5. Pulak, M. F. S. & Al-Sultan, K. S., 1996. "The optimum targeting for a single filling operation with rectifying inspection," Omega, Elsevier, vol. 24(6), pages 727-733, December.
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