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The deterministic EOQ and EPQ with partial backordering at a rate that is linearly dependent on the time to delivery

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  • Toews, Carl
  • Pentico, David W.
  • Drake, Matthew J.
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    Abstract

    Our original models for the EOQ and EPQ with partial backordering assumed that the backordering rate, [beta], is a constant. In this paper we extend those models to allow [beta] to increase linearly as the time until delivery decreases. We show how those previous models can be adapted to find the optimal decision variable values for this new assumption and develop, for each model type, a condition that the initial value of [beta] must meet for partial backordering to be optimal.

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    Bibliographic Info

    Article provided by Elsevier in its journal International Journal of Production Economics.

    Volume (Year): 131 (2011)
    Issue (Month): 2 (June)
    Pages: 643-649

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    Handle: RePEc:eee:proeco:v:131:y:2011:i:2:p:643-649

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    Web page: http://www.elsevier.com/locate/ijpe

    Related research

    Keywords: Inventory control EOQ Production lot sizing Partial backordering;

    References

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    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    1. Skouri, K. & Papachristos, S., 2003. "Optimal stopping and restarting production times for an EOQ model with deteriorating items and time-dependent partial backlogging," International Journal of Production Economics, Elsevier, vol. 81(1), pages 525-531, January.
    2. Chu, Peter & Chung, Kun-Jen, 2004. "The sensitivity of the inventory model with partial backorders," European Journal of Operational Research, Elsevier, vol. 152(1), pages 289-295, January.
    3. 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.
    4. L. A. San José & J. Sicilia & J. García-Laguna, 2005. "An Inventory System With Partial Backlogging Modeled According To A Linear Function," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 22(02), pages 189-209.
    5. San José, L.A. & Sicilia, J. & Garcia-Laguna, J., 2006. "Analysis of an inventory system with exponential partial backordering," International Journal of Production Economics, Elsevier, vol. 100(1), pages 76-86, March.
    6. P. L. Abad, 1996. "Optimal Pricing and Lot-Sizing Under Conditions of Perishability and Partial Backordering," Management Science, INFORMS, vol. 42(8), pages 1093-1104, August.
    7. 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.
    8. Zhang, Ren-qian, 2009. "A note on the deterministic EPQ with partial backordering," Omega, Elsevier, vol. 37(5), pages 1036-1038, October.
    9. Abad, Prakash L., 2008. "Optimal price and order size under partial backordering incorporating shortage, backorder and lost sale costs," International Journal of Production Economics, Elsevier, vol. 114(1), pages 179-186, July.
    10. 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.
    11. Borgonovo, E. & Peccati, L., 2007. "Global sensitivity analysis in inventory management," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 302-313, July.
    12. Yang, Gino K., 2007. "Note on sensitivity analysis of inventory model with partial backorders," European Journal of Operational Research, Elsevier, vol. 177(2), pages 865-871, March.
    13. Abad, P. L., 2003. "Optimal pricing and lot-sizing under conditions of perishability, finite production and partial backordering and lost sale," European Journal of Operational Research, Elsevier, vol. 144(3), pages 677-685, February.
    14. Borgonovo, E., 2008. "Differential importance and comparative statics: An application to inventory management," International Journal of Production Economics, Elsevier, vol. 111(1), pages 170-179, January.
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    Cited by:
    1. 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.
    2. Wee, Hui-Ming & Wang, Wan-Tsu, 2012. "A supplement to the EPQ with partial backordering and phase-dependent backordering rate," Omega, Elsevier, vol. 40(3), pages 264-266.

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