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Technical note: Solving inventory models by algebraic method

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  • Luo, Xu-Ren
  • Chou, Chih-sheng

Abstract

We consider the open question raised by Chang et al. (2005) to solve the EOQ and EPQ inventory models without referring to calculus. Lau et al. (2016) and Chiu et al. (2017) both extended this open question by deriving criterion for the existence and uniqueness of the interior minimum solution but they used analytical techniques that are related to calculus. Moreover, their derivations are incomplete and contained questionable results. In this note, we only used algebraic approach for their extended open question.

Suggested Citation

  • Luo, Xu-Ren & Chou, Chih-sheng, 2018. "Technical note: Solving inventory models by algebraic method," International Journal of Production Economics, Elsevier, vol. 200(C), pages 130-133.
    • Handle: RePEc:eee:proeco:v:200:y:2018:i:c:p:130-133
    DOI: 10.1016/j.ijpe.2018.03.023
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
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