{"id":10996,"date":"2026-09-05T13:32:57","date_gmt":"2026-09-05T05:32:57","guid":{"rendered":"\/jase\/?post_type=tkuisotope&p=10996"},"modified":"2026-09-14T17:42:20","modified_gmt":"2026-09-14T09:42:20","slug":"the-modified-carlssons-model-for-setting-the-optimum-process-mean","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=the-modified-carlssons-model-for-setting-the-optimum-process-mean","title":{"rendered":"The Modified Carlsson\u2019s Model for Setting the Optimum Process Mean"},"content":{"rendered":"\n
\n
\n

<\/i> 2012<\/a><\/p>\n<\/div>\n\n\n\n

\n

<\/i> Volume 15, Issue 4<\/a><\/p>\n<\/div>\n\n\n\n

\n
\n
\n
\n

Chung-Ho Chen<\/i><\/a><\/p>\n\n\n\n

Department of Management and Information Technology, Southern Taiwan University of Science and Technology, Tainan, Taiwan 710, R.O.C.<\/p>\n<\/div>\n\n\n\n

\n

Received:\u00a0November 29, 2010
Accepted:\u00a0February 17, 2012
Publication Date:\u00a0December 1, 2012<\/p>\n<\/div>\n<\/div>\n\n\n\n

\"\u4e0a\u50b3\u5716\u7247\"\n\n\n

No figure<\/p>\n<\/div>\n<\/div>\n\n\n\n

<\/i> Copyright <\/strong>The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0)<\/a>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.<\/p>\n\n\n\n

Download Citation:  BibTeX <\/a>| http:\/\/dx.doi.org\/10.6180\/jase.2012.15.4.05<\/a>  <\/p>\n\n\n\n

Download PDF<\/a><\/p>\n\n\n\n

<\/div>\n\n\n\n

In 1984, Carlsson addressed the method for setting the optimum process mean when the net income takes production cost and different selling prices into account. He adopted the piecewise linear profit function to measure the net income for a product quality characteristic is normally distributed. However, the non-normal quality characteristic of product maybe occur in the industrial application. In this paper, the author proposes the modified Carlsson’s models with beta and Weibull quality characteristics for determining the optimum process mean. A numerical example and sensitivity analysis of parameters will be provided for illustration.<\/p>\n\n\n\n

Keywords: Piecewise Linear Profit Function; Beta Distribution; Weibull Distribution; Process Mean<\/em><\/p>\n\n\n\n

<\/div>\n\n\n\n
\n
    \n
  1. [1] Carlsson, O., “Determining the Most Profitable Process Level for a Production Process under Different Sales Conditions,” Journal of Quality Technology, Vol. 16, pp. 44-49 (1984).<\/li>\n
  2. [2] Golhar, D. Y. and Pollock, S. M., “Determination of the Optimal Process Mean and the Upper Limit of the Canning Problem,” Journal of Quality Technology, Vol. 20, pp. 188-192 (1988).<\/li>\n
  3. [3] Misiorek, V. I. and Barrnett, N. S., “Mean Selection for Filling Processes under Weights and Measures Requirements,” Journal of Quality Technology, Vol. 32, pp. 111-121 (2000).<\/li>\n
  4. [4] Lee, M. K., Hong, S. H., Kwon, H. M. and Kim, S. B., “Optimum Process Mean and Screening Limits for a Production Process with Three-Class Screening,” International Journal of Reliability, Quality and Safety Engineering, Vol. 7, pp. 179-190 (2000).<\/li>\n
  5. [5] Lee, M. K., Hong, S. H. and Elsayed, E. A., “The Optimum Target Value under Single and Two-Stage Screenings,” Journal of Quality Technology, Vol. 33, pp. 506-514 (2001).<\/li>\n
  6. [6] Sana, S. S., Goyal, S. K. and Chaudhuri, K., “On a Volume Flexible Inventory Model for Items with an Imperfect Production System,” International Journal of Production Research, Vol. 105, pp. 64-80 (2007).<\/li>\n
  7. [7] Sana, S. S., Goyal, S. K. and Chaudhuri, K., “An Imperfect Production Process in a Volume Flexible Inventory Model,” International Journal of Production Economics, Vol. 105, pp. 548-559 (2007).<\/li>\n
  8. [8] Sana, S. S., “An Economic Production Lot Size Model in an Imperfect Production System,” European Journal of Operational Research, Vol. 201, pp. 158-170 (2010).<\/li>\n
  9. [9] Sana, S. S., “A Production-Inventory Model in an Imperfect Production Process,” European Journal of Operational Research, Vol. 200, pp. 451-464 (2010).<\/li>\n
  10. [10] Sana, S. S., “Demand Influenced by Enterprises Initiatives — a Multi-Item EOQ Model of Deteriorating and Ameliorating Items,” Mathematical and Computer Modelling, Vol. 52, pp. 284-302 (2010).<\/li>\n
  11. [11] Sana, S. S., “Price Sensitive Demand with Random Sales Price a Newsboy Problem,” International Journal of Systems Science, Vol. 43, pp. 491-498 (2012).<\/li>\n
  12. [12] Sana, S. S., “Price-Sensitive Demand for Perishable Items an EOQ Model,” Applied Mathematics and Computation, Vol. 217, pp. 6248-6259 (2011).<\/li>\n
  13. [13] Sana, S. S., “Optimal Selling Price and Lot Size with Time Varying Deteriorating and Partial Backlogging,” Applied Mathematics and Computation, Vol. 217, pp. 185-194 (2011).<\/li>\n
  14. [14] Sana, S. S. and Chaudhuri, K., “An EMQ Model in an Imperfect Production Process,” International Journal of Systems Science, Vol. 41, pp. 635-646 (2010).<\/li>\n
  15. [15] Sana, S. S., “A Production-Inventory Model of Imperfect Quality Products in a Three-Layer Supply Chain,” Decision Support Systems, Vol. 50, pp. 539-547 (2011).<\/li>\n
  16. [16] Rov, M. D., Sana, S. S. and Chaudhuri, K., “An Economic Order Quantity Model of Imperfect Quality Items with Partial Backlogging,” International Journal of Systems Science, Vol. 42, pp. 1409-1419 (2011).<\/li>\n
  17. [17] Chandra, M. J., Statistical Quality Control, CRC Press LLC, Florida, U.S.A. (2001).<\/li>\n<\/ol>\n<\/div>\n\n\n\n

    <\/p>\n","protected":false},"author":3,"template":"wp-custom-template-detail-4-aricles","meta":{"_uag_custom_page_level_css":""},"categories":[1855,6,1859],"tags":[1946],"acf":[],"uagb_featured_image_src":[],"uagb_author_info":{"display_name":"\u6797\u923a\u6db5","author_link":"\/jase\/?author=3"},"uagb_comment_info":0,"uagb_excerpt":" Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited. Download Citation:  BibTeX | http:\/\/dx.doi.org\/10.6180\/jase.2012.15.4.05   Download PDF In 1984, Carlsson addressed the method for setting the optimum process…","_links":{"self":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope\/10996"}],"collection":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope"}],"about":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/types\/tkuisotope"}],"author":[{"embeddable":true,"href":"\/jase\/index.php?rest_route=\/wp\/v2\/users\/3"}],"wp:attachment":[{"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10996"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10996"},{"taxonomy":"post_tag","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10996"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}