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A note on "The EPQ with partial backordering and phase-dependent backordering rate"


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  • Hsieh, Tsu-Pang
  • Dye, Chung-Yuan
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    Pentico et al. [The EPQ with partial backordering and phase-dependent backordering rate. Omega 2011;39(5):574-7] recently proposed an EPQ model with partial backordering. They tried to determine the minimum average total cost per year from the three cases: to lose all sales, to meet all demand, and to allow stockouts with partial backordering. In this paper, we solve the same model without differential calculus and present a different decision procedure. Without the comparison of those costs, a numerical example is illustrated to determine the optimal production policy by our criteria.

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    Bibliographic Info

    Article provided by Elsevier in its journal Omega.

    Volume (Year): 40 (2012)
    Issue (Month): 1 (January)
    Pages: 131-133

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    Handle: RePEc:eee:jomega:v:40:y:2012:i:1:p:131-133

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    Keywords: Production lot sizing Phase-dependent backordering rate EPQ Partial backordering Arithmetic-geometric mean inequality;


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    1. Zhang, Ren-qian, 2009. "A note on the deterministic EPQ with partial backordering," Omega, Elsevier, vol. 37(5), pages 1036-1038, October.
    2. Pentico, David W. & Drake, Matthew J. & Toews, Carl, 2009. "The deterministic EPQ with partial backordering: A new approach," Omega, Elsevier, vol. 37(3), pages 624-636, June.
    3. Hsieh, Ying-Jiun, 2011. "Demand switching criteria for multiple products: An inventory cost analysis," Omega, Elsevier, vol. 39(2), pages 130-137, April.
    4. Pentico, David W. & Drake, Matthew J. & Toews, Carl, 2011. "The EPQ with partial backordering and phase-dependent backordering rate," Omega, Elsevier, vol. 39(5), pages 574-577, October.
    5. Kevork, Ilias S., 2010. "Estimating the optimal order quantity and the maximum expected profit for single-period inventory decisions," Omega, Elsevier, vol. 38(3-4), pages 218-227, June.
    6. Keren, Baruch, 2009. "The single-period inventory problem: Extension to random yield from the perspective of the supply chain," Omega, Elsevier, vol. 37(4), pages 801-810, August.
    7. Pentico, David W. & Drake, Matthew J., 2009. "The deterministic EOQ with partial backordering: A new approach," European Journal of Operational Research, Elsevier, vol. 194(1), pages 102-113, April.
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    Cited by:
    1. Teng, Jinn-Tsair & Min, Jie & Pan, Qinhua, 2012. "Economic order quantity model with trade credit financing for non-decreasing demand," Omega, Elsevier, vol. 40(3), pages 328-335.
    2. Taleizadeh, Ata Allah & Pentico, David W. & Saeed Jabalameli, Mohammad & Aryanezhad, Mirbahador, 2013. "An EOQ model with partial delayed payment and partial backordering," Omega, Elsevier, vol. 41(2), pages 354-368.
    3. Stojkovska, Irena, 2013. "On the optimality of the optimal policies for the deterministic EPQ with partial backordering," Omega, Elsevier, vol. 41(5), pages 919-923.


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