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Economic order quantity model for items with imperfect quality with learning in inspection

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  • Khan, M.
  • Jaber, M.Y.
  • Wahab, M.I.M.

Abstract

The economic order quantity (EOQ) model is the simplest and earliest inventory model in the literature. Its simple mathematics is attributed to its assumptions, which are rarely met. Salameh and Jaber [2000. Economic production quantity model for items with imperfect quality. Int. J. Prod. Econ. 64, 59-64] addressed one of these assumptions that items received or produced are not of perfect quality. This paper extends Salameh and Jaber's work for the case where there is learning in inspection. The model is realistic in that it considers situations of lost sales and backorders. Mathematical models are developed with numerical examples provided and results discussed for the cases of (i) partial transfer of learning, (ii) total transfer of learning, and (iii) no transfer of learning.

Suggested Citation

  • Khan, M. & Jaber, M.Y. & Wahab, M.I.M., 2010. "Economic order quantity model for items with imperfect quality with learning in inspection," International Journal of Production Economics, Elsevier, vol. 124(1), pages 87-96, March.
    • Handle: RePEc:eee:proeco:v:124:y:2010:i:1:p:87-96
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    1. Huang, Chao-Kuei, 2004. "An optimal policy for a single-vendor single-buyer integrated production-inventory problem with process unreliability consideration," International Journal of Production Economics, Elsevier, vol. 91(1), pages 91-98, September.
    2. Papachristos, S. & Konstantaras, I., 2006. "Economic ordering quantity models for items with imperfect quality," International Journal of Production Economics, Elsevier, vol. 100(1), pages 148-154, March.
    3. Chiu, Huan Neng & Chen, Hsin Min, 2005. "An optimal algorithm for solving the dynamic lot-sizing model with learning and forgetting in setups and production," International Journal of Production Economics, Elsevier, vol. 95(2), pages 179-193, February.
    4. Argote, L. & Epple, D., 1990. "Learning Curves In Manufacturing," GSIA Working Papers 89-90-02, Carnegie Mellon University, Tepper School of Business.
    5. Jaber, M.Y. & Bonney, M. & Moualek, I., 2009. "Lot sizing with learning, forgetting and entropy cost," International Journal of Production Economics, Elsevier, vol. 118(1), pages 19-25, March.
    6. Eroglu, Abdullah & Ozdemir, Gultekin, 2007. "An economic order quantity model with defective items and shortages," International Journal of Production Economics, Elsevier, vol. 106(2), pages 544-549, April.
    7. Cardenas-Barron, Leopoldo Eduardo, 2000. "Observation on: "Economic production quantity model for items with imperfect quality" [Int. J. Production Economics 64 (2000) 59-64]," International Journal of Production Economics, Elsevier, vol. 67(2), pages 201-201, September.
    8. Kevin Hsu, Wen-Kai & Yu, Hong-Fwu, 2009. "EOQ model for imperfective items under a one-time-only discount," Omega, Elsevier, vol. 37(5), pages 1018-1026, October.
    9. Goyal, Suresh Kumar & Cardenas-Barron, Leopoldo Eduardo, 2002. "Note on: Economic production quantity model for items with imperfect quality - a practical approach," International Journal of Production Economics, Elsevier, vol. 77(1), pages 85-87, May.
    10. Jaber, Mohamad Y. & Bonney, Maurice, 2003. "Lot sizing with learning and forgetting in set-ups and in product quality," International Journal of Production Economics, Elsevier, vol. 83(1), pages 95-111, January.
    11. Jaber, Mohamad Y. & Bonney, Maurice, 1999. "The economic manufacture/order quantity (EMQ/EOQ) and the learning curve: Past, present, and future," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 93-102, March.
    12. Wee, H.M. & Yu, Jonas & Chen, M.C., 2007. "Optimal inventory model for items with imperfect quality and shortage backordering," Omega, Elsevier, vol. 35(1), pages 7-11, February.
    13. Jaber, Mohamad Y. & Kher, Hemant V. & Davis, Darwin J., 2003. "Countering forgetting through training and deployment," International Journal of Production Economics, Elsevier, vol. 85(1), pages 33-46, July.
    14. Hill, R.M. & Seifbarghy, M. & Smith, D.K., 2007. "A two-echelon inventory model with lost sales," European Journal of Operational Research, Elsevier, vol. 181(2), pages 753-766, September.
    15. Jaber, M.Y. & Goyal, S.K. & Imran, M., 2008. "Economic production quantity model for items with imperfect quality subject to learning effects," International Journal of Production Economics, Elsevier, vol. 115(1), pages 143-150, September.
    16. Jaber, Mohamad Y. & Bonney, Maurice, 2007. "Economic manufacture quantity (EMQ) model with lot-size dependent learning and forgetting rates," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 359-367, July.
    17. Kun-Jen Chung & Yung-Fu Huang, 2006. "Retailer’s Optimal Cycle Times in the EOQ Model with Imperfect Quality and a Permissible Credit Period," Quality & Quantity: International Journal of Methodology, Springer, vol. 40(1), pages 59-77, February.
    18. Salameh, M. K. & Jaber, M. Y., 2000. "Economic production quantity model for items with imperfect quality," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 59-64, March.
    19. Maddah, Bacel & Jaber, Mohamad Y., 2008. "Economic order quantity for items with imperfect quality: Revisited," International Journal of Production Economics, Elsevier, vol. 112(2), pages 808-815, April.
    20. Steven Nahmias & Stephen A. Smith, 1994. "Optimizing Inventory Levels in a Two-Echelon Retailer System with Partial Lost Sales," Management Science, INFORMS, vol. 40(5), pages 582-596, May.
    21. Evan L. Porteus, 1986. "Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction," Operations Research, INFORMS, vol. 34(1), pages 137-144, February.
    22. S K Goyal & B C Giri, 2001. "A comment on Chang and Dye (1999): EOQ model for deteriorating items with time-varying demand and partial backlogging," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(2), pages 238-239, February.
    23. Alamri, Adel. A. & Balkhi, Zaid T., 2007. "The effects of learning and forgetting on the optimal production lot size for deteriorating items with time varying demand and deterioration rates," International Journal of Production Economics, Elsevier, vol. 107(1), pages 125-138, May.
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