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


  • Hsieh, Tsu-Pang
  • Dye, Chung-Yuan


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.

Suggested Citation

  • Hsieh, Tsu-Pang & Dye, Chung-Yuan, 2012. "A note on "The EPQ with partial backordering and phase-dependent backordering rate"," Omega, Elsevier, vol. 40(1), pages 131-133, January.
  • Handle: RePEc:eee:jomega:v:40:y:2012:i:1:p:131-133

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    References listed on IDEAS

    1. Hsieh, Ying-Jiun, 2011. "Demand switching criteria for multiple products: An inventory cost analysis," Omega, Elsevier, vol. 39(2), pages 130-137, April.
    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. Zhang, Ren-qian, 2009. "A note on the deterministic EPQ with partial backordering," Omega, Elsevier, vol. 37(5), pages 1036-1038, October.
    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. 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.
    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. 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.
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    Cited by:

    1. Jeang, Angus, 2012. "Simultaneous determination of production lot size and process parameters under process deterioration and process breakdown," Omega, Elsevier, vol. 40(6), pages 774-781.
    2. San-José, Luis A. & Sicilia, Joaquín & García-Laguna, Juan, 2014. "Optimal lot size for a production–inventory system with partial backlogging and mixture of dispatching policies," International Journal of Production Economics, Elsevier, vol. 155(C), pages 194-203.
    3. 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.
    4. 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.
    5. 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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