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An EOQ model with backlog-dependent demand

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  • K. Skouri

    (University of Ioannina)

Abstract

The impact of stockout has been underlined in many consumer studies. According to them, stock-out affects consumers’ purchase decisions and this is especially true on online shopping. In this paper, an inventory model is considered, under the classical EOQ framework, by assuming that shortages affect the customers’ demand. To this end, during shortages period, the demand rate decreases proportionally to the existing backlogging. Then, in order for the total cost to be obtained, the backlogged demand rate is approximated by a piecewise constant function. For this approximated model, the reorder interval, that minimizes the total cost, is determined in closed form. Comparisons, through numerical examples, between a specific backlogging rate (already used in the literature) and the proposed approximation, indicate that this approximation gives high quality results.

Suggested Citation

  • K. Skouri, 2018. "An EOQ model with backlog-dependent demand," Operational Research, Springer, vol. 18(2), pages 561-574, July.
    • Handle: RePEc:spr:operea:v:18:y:2018:i:2:d:10.1007_s12351-016-0279-0
    DOI: 10.1007/s12351-016-0279-0
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    References listed on IDEAS

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    1. Pentico, David W. & Drake, Matthew J., 2011. "A survey of deterministic models for the EOQ and EPQ with partial backordering," European Journal of Operational Research, Elsevier, vol. 214(2), pages 179-198, October.
    2. Taleizadeh, Ata Allah & Mohammadi, Babak & Cárdenas-Barrón, Leopoldo Eduardo & Samimi, Hadi, 2013. "An EOQ model for perishable product with special sale and shortage," International Journal of Production Economics, Elsevier, vol. 145(1), pages 318-338.
    3. Eric T. Anderson & Gavan J. Fitzsimons & Duncan Simester, 2006. "Measuring and Mitigating the Costs of Stockouts," Management Science, INFORMS, vol. 52(11), pages 1751-1763, November.
    4. Uday S. Rao, 2003. "Properties of the Periodic Review (R, T) Inventory Control Policy for Stationary, Stochastic Demand," Manufacturing & Service Operations Management, INFORMS, vol. 5(1), pages 37-53, February.
    5. 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.
    6. Bakker, Monique & Riezebos, Jan & Teunter, Ruud H., 2012. "Review of inventory systems with deterioration since 2001," European Journal of Operational Research, Elsevier, vol. 221(2), pages 275-284.
    7. Pentico, David W. & Toews, Carl & Drake, Matthew J., 2015. "Approximating the EOQ with partial backordering at an exponential or rational rate by a constant or linearly changing rate," International Journal of Production Economics, Elsevier, vol. 162(C), pages 151-159.
    8. Stanley Gershwin & Bariş Tan & Michael Veatch, 2009. "Production control with backlog-dependent demand," IISE Transactions, Taylor & Francis Journals, vol. 41(6), pages 511-523.
    9. Yu-Sheng Zheng, 1992. "On Properties of Stochastic Inventory Systems," Management Science, INFORMS, vol. 38(1), pages 87-103, January.
    10. Padmanabhan, G. & Vrat, Prem, 1995. "EOQ models for perishable items under stock dependent selling rate," European Journal of Operational Research, Elsevier, vol. 86(2), pages 281-292, October.
    11. Anantaram Balakrishnan & Michael S. Pangburn & Euthemia Stavrulaki, 2004. ""Stack Them High, Let 'em Fly": Lot-Sizing Policies When Inventories Stimulate Demand," Management Science, INFORMS, vol. 50(5), pages 630-644, May.
    12. Teng, Jinn-Tsair & Krommyda, Iris-Pandora & Skouri, Konstantina & Lou, Kuo-Ren, 2011. "A comprehensive extension of optimal ordering policy for stock-dependent demand under progressive payment scheme," European Journal of Operational Research, Elsevier, vol. 215(1), pages 97-104, November.
    13. BREUGELMANS, Els & CAMPO, Katia & GIJSBRECHTS, Els, 2005. "Opportunities for active stock-out management in online stores: The impact of the stock-out policy on online stock-out reactions," Working Papers 2005005, University of Antwerp, Faculty of Business and Economics.
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