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Finding an Optimum Target Value in Relation to a Fixed Lower Limit and an Arbitrary Upper Limit

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  • D. C. Bettes

Abstract

In this article Mr Bettes shows how simple Normal distribution statistics may be used to solve a problem in manufacturing to a specification and minimising the cost. He gives an example worked out in detail and a table which may be useful to other workers.

Suggested Citation

  • D. C. Bettes, 1962. "Finding an Optimum Target Value in Relation to a Fixed Lower Limit and an Arbitrary Upper Limit," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 11(3), pages 202-210, November.
    • Handle: RePEc:bla:jorssc:v:11:y:1962:i:3:p:202-210
    DOI: 10.2307/2985366
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    Cited by:

    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. Goethals, Paul L. & Cho, Byung Rae, 2011. "Reverse programming the optimal process mean problem to identify a factor space profile," European Journal of Operational Research, Elsevier, vol. 215(1), pages 204-217, November.
    3. Yuehjen Shao & John Fowler & George Runger, 2005. "A note on determining an optimal target by considering the dependence of holding costs and the quality characteristics," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(8), pages 813-822.
    4. Lee, Min Koo & Kwon, Hyuck Moo & Hong, Sung Hoon & Kim, Young Jin, 2007. "Determination of the optimum target value for a production process with multiple products," International Journal of Production Economics, Elsevier, vol. 107(1), pages 173-178, May.
    5. Shao, Yuehjen E. & Fowler, John W. & Runger, George C., 2000. "Determining the optimal target for a process with multiple markets and variable holding costs," International Journal of Production Economics, Elsevier, vol. 65(3), pages 229-242, May.
    6. Sankle R. & Singh J.R. & Mangal I.K., 2013. "Sequential Test for Poisson Distribution under Measurement Error," Stochastics and Quality Control, De Gruyter, vol. 28(1), pages 9-14, October.
    7. Roan, Jinshyang & Gong, Linguo & Tang, Kwei, 2000. "Joint determination of process mean, production run size and material order quantity for a container-filling process," International Journal of Production Economics, Elsevier, vol. 63(3), pages 303-317, January.
    8. Roan, Jinshyang & Gong, Linguo & Tang, Kwei, 1997. "Process mean determination under constant raw material supply," European Journal of Operational Research, Elsevier, vol. 99(2), pages 353-365, June.
    9. Lee, Min Koo & Elsayed, Elsayed A., 2002. "Process mean and screening limits for filling processes under two-stage screening procedure," European Journal of Operational Research, Elsevier, vol. 138(1), pages 118-126, April.
    10. Lee, Min Koo & Jang, Joong Soon, 1997. "The optimum target values for a production process with three-class screening," International Journal of Production Economics, Elsevier, vol. 49(2), pages 91-99, April.
    11. Selim, Shokri Z. & Al-Zu'bi, Walid K., 2011. "Optimal means for continuous processes in series," European Journal of Operational Research, Elsevier, vol. 210(3), pages 618-623, May.
    12. Mohammad A. M. Abdel-Aal & Shokri Z. Selim, 2019. "A Generalized Process Targeting Model and an Application Involving a Production Process with Multiple Products," Mathematics, MDPI, vol. 7(8), pages 1-17, August.
    13. 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.
    14. Darwish, M.A. & Abdulmalek, F. & Alkhedher, M., 2013. "Optimal selection of process mean for a stochastic inventory model," European Journal of Operational Research, Elsevier, vol. 226(3), pages 481-490.
    15. Williams, William W. & Tang, Kwei & Gong, Linguo, 2000. "Process improvement for a container-filling process with random shifts," International Journal of Production Economics, Elsevier, vol. 66(1), pages 23-31, June.

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