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Economic order quantity for items with imperfect quality: Revisited

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  • Maddah, Bacel
  • Jaber, Mohamad Y.

Abstract

We rectify a flaw in an economic order quantity (EOQ) model with unreliable supply, characterized by a random fraction of imperfect quality items and a screening process, developed by Salameh and Jaber [2000. Economic production quantity model for items with imperfect quality. International Journal of Production Economics 64(1-3), 59-64]. This leads to simple expressions of the optimal order quantity and expected profit per unit time. We then analyze the effect of screening speed and variability of the supply process on the order quantity, and show that the order quantity in our model is larger than that of the classical EOQ model when the variability of the yield rate is reasonably low. In addition, we extend the model by allowing for several batches of imperfect quality items to be consolidated and shipped in one lot. This is likely to be useful when there are economies of scale in shipping of imperfect quality items. Finally, we present numerical results to illustrate the application of the model and draw insights.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:proeco:v:112:y:2008:i:2:p:808-815
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    References listed on IDEAS

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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. 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.
    4. 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.
    5. 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.
    6. Candace Arai Yano & Hau L. Lee, 1995. "Lot Sizing with Random Yields: A Review," Operations Research, INFORMS, vol. 43(2), pages 311-334, April.
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