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Some comments on "A simple method to compute economic order quantities"

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  • Leung, Kit-Nam Francis

Abstract

In this note, we emphasize that the arithmetic-geometric-mean-inequality approach proposed by Teng [Teng, J.T., 2008. A simple method to compute economic order quantities. European Journal of Operational Research. doi:10.1016/j.ejor.2008.05.019] is not a general solution method. Teng's approach happens to work and give the correct results when the two terms in an objective function are any functions such that their product is a constant. The classical EOQ model works fine since the product of the two terms is indeed a constant! When the product is not a constant, Teng's approach is of little use. This is exemplified in Comment 1 via solving the EOQ model with complete backorders (where the model is regarded as having two decision variables). Comment 2 is generally valid for an algebraic method when it is used to solve an objective function with two decision variables.

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  • Leung, Kit-Nam Francis, 2010. "Some comments on "A simple method to compute economic order quantities"," European Journal of Operational Research, Elsevier, vol. 201(3), pages 960-961, March.
    • Handle: RePEc:eee:ejores:v:201:y:2010:i:3:p:960-961
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    References listed on IDEAS

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    1. Chung, Chun Jen & Wee, Hui Ming, 2007. "Optimizing the economic lot size of a three-stage supply chain with backordering derived without derivatives," European Journal of Operational Research, Elsevier, vol. 183(2), pages 933-943, December.
    2. Grubbstrom, Robert W. & Erdem, Asli, 1999. "The EOQ with backlogging derived without derivatives," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 529-530, March.
    3. Leung, Kit-Nam Francis, 2008. "Using the complete squares method to analyze a lot size model when the quantity backordered and the quantity received are both uncertain," European Journal of Operational Research, Elsevier, vol. 187(1), pages 19-30, May.
    4. Wee, Hui-Ming & Wang, Wan-Tsu & Chung, Chun-Jen, 2009. "A modified method to compute economic order quantities without derivatives by cost-difference comparisons," European Journal of Operational Research, Elsevier, vol. 194(1), pages 336-338, April.
    5. Jason Chang, S.K. & Chuang, Jones P.C. & Chen, Hsiao-Jung, 2005. "Short comments on technical note--The EOQ and EPQ models with shortages derived without derivatives," International Journal of Production Economics, Elsevier, vol. 97(2), pages 241-243, August.
    6. Sphicas, Georghios P., 2006. "EOQ and EPQ with linear and fixed backorder costs: Two cases identified and models analyzed without calculus," International Journal of Production Economics, Elsevier, vol. 100(1), pages 59-64, March.
    7. Wee, Hui Ming & Chung, Chun Jen, 2007. "A note on the economic lot size of the integrated vendor-buyer inventory system derived without derivatives," European Journal of Operational Research, Elsevier, vol. 177(2), pages 1289-1293, March.
    8. Francis Leung, Kit-Nam, 2008. "Technical note: A use of the complete squares method to solve and analyze a quadratic objective function with two decision variables exemplified via a deterministic inventory model with a mixture of b," International Journal of Production Economics, Elsevier, vol. 113(1), pages 275-281, May.
    9. Ronald, Robert & Yang, Gino K. & Chu, Peter, 2004. "Technical note: The EOQ and EPQ models with shortages derived without derivatives," International Journal of Production Economics, Elsevier, vol. 92(2), pages 197-200, November.
    10. Cardenas-Barron, Leopoldo Eduardo, 2001. "The economic production quantity (EPQ) with shortage derived algebraically," International Journal of Production Economics, Elsevier, vol. 70(3), pages 289-292, April.
    11. Minner, Stefan, 2007. "A note on how to compute economic order quantities without derivatives by cost comparisons," International Journal of Production Economics, Elsevier, vol. 105(1), pages 293-296, January.
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