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An economic order quantity model with partial backordering and a special sale price

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  • Taleizadeh, Ata Allah
  • Pentico, David W.
  • Aryanezhad, Mirbahador
  • Ghoreyshi, Seyed Mohammad

Abstract

A constant unit purchase cost is one of the main assumptions in the classic economic order quantity model. In practice, suppliers sometimes offer special sale prices to stimulate sales or decrease inventories of certain items. In this paper we develop an EOQ model with a special sale price and partial backordering. We prove the convexity of the cost-reduction function if a special order is placed at the special sale price. A solution method is proposed and numerical examples are presented.

Suggested Citation

  • Taleizadeh, Ata Allah & Pentico, David W. & Aryanezhad, Mirbahador & Ghoreyshi, Seyed Mohammad, 2012. "An economic order quantity model with partial backordering and a special sale price," European Journal of Operational Research, Elsevier, vol. 221(3), pages 571-583.
    • Handle: RePEc:eee:ejores:v:221:y:2012:i:3:p:571-583
    DOI: 10.1016/j.ejor.2012.03.032
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    References listed on IDEAS

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    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.
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    12. Zhang, Ren-qian & Kaku, Ikou & Xiao, Yi-yong, 2011. "Deterministic EOQ with partial backordering and correlated demand caused by cross-selling," European Journal of Operational Research, Elsevier, vol. 210(3), pages 537-551, May.
    13. Thangam, A. & Uthayakumar, R., 2008. "A two-level supply chain with partial backordering and approximated Poisson demand," European Journal of Operational Research, Elsevier, vol. 187(1), pages 228-242, May.
    14. Sarker, Bhaba R. & Al Kindi, Mahmood, 2006. "Optimal ordering policies in response to a discount offer," International Journal of Production Economics, Elsevier, vol. 100(2), pages 195-211, April.
    15. Hu, Wan-ting & Kim, Seung-Lae & Banerjee, Avijit, 2009. "An inventory model with partial backordering and unit backorder cost linearly increasing with the waiting time," European Journal of Operational Research, Elsevier, vol. 197(2), pages 581-587, September.
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    Cited by:

    1. Yiju Wang & Hengxia Gao & Wei Xing, 2018. "Optimal replenishment and stocking strategies for inventory mechanism with a dynamically stochastic short-term price discount," Journal of Global Optimization, Springer, vol. 70(1), pages 27-53, January.
    2. Hossein Salehi & Ata Allah Taleizadeh & Reza Tavakkoli-Moghaddam, 2016. "An EOQ model with random disruption and partial backordering," International Journal of Production Research, Taylor & Francis Journals, vol. 54(9), pages 2600-2609, May.
    3. Govindan, Kannan, 2015. "The optimal replenishment policy for time-varying stochastic demand under vendor managed inventory," European Journal of Operational Research, Elsevier, vol. 242(2), pages 402-423.
    4. Shaposhnik, Yaron & Herer, Yale T. & Naseraldin, Hussein, 2015. "Optimal ordering for a probabilistic one-time discount," European Journal of Operational Research, Elsevier, vol. 244(3), pages 803-814.
    5. A.K. Bhunia & A.A. Shaikh & R.K. Gupta, 2015. "A study on two-warehouse partially backlogged deteriorating inventory models under inflation via particle swarm optimisation," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(6), pages 1036-1050, April.
    6. Li, Linda & Miller, David & Schmidt, Charles P., 2016. "Optimizing inventory׳s contribution to profitability in a regulated utility: The Averch–Johnson effect," International Journal of Production Economics, Elsevier, vol. 175(C), pages 132-141.
    7. Yusen Xia, 2016. "Responding to supplier temporary price discounts in a supply chain through ordering and pricing decisions," International Journal of Production Research, Taylor & Francis Journals, vol. 54(7), pages 1938-1950, April.
    8. 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.
    9. Ata Allah Taleizadeh & Masoumeh Sadat Babaei & Seyed Taghi Akhavan Niaki & Mahsa Noori-daryan, 2020. "Bundle pricing and inventory decisions on complementary products," Operational Research, Springer, vol. 20(2), pages 517-541, June.
    10. Taleizadeh, Ata Allah & Khanbaglo, Mahboobeh Perak Sari & Cárdenas-Barrón, Leopoldo Eduardo, 2016. "An EOQ inventory model with partial backordering and reparation of imperfect products," International Journal of Production Economics, Elsevier, vol. 182(C), pages 418-434.
    11. Ata Allah Taleizadeh, 2018. "A constrained integrated imperfect manufacturing-inventory system with preventive maintenance and partial backordering," Annals of Operations Research, Springer, vol. 261(1), pages 303-337, February.
    12. San-José, L.A. & Sicilia, J. & García-Laguna, J., 2015. "Analysis of an EOQ inventory model with partial backordering and non-linear unit holding cost," Omega, Elsevier, vol. 54(C), pages 147-157.
    13. Taleizadeh, Ata Allah & Pentico, David W., 2014. "An Economic Order Quantity model with partial backordering and all-units discount," International Journal of Production Economics, Elsevier, vol. 155(C), pages 172-184.
    14. Taleizadeh, Ata Allah & Zarei, Hamid Reza & Sarker, Bhaba R., 2017. "An optimal control of inventory under probablistic replenishment intervals and known price increase," European Journal of Operational Research, Elsevier, vol. 257(3), pages 777-791.
    15. Shayan Tavakoli & Ata Allah Taleizadeh, 2017. "An EOQ model for decaying item with full advanced payment and conditional discount," Annals of Operations Research, Springer, vol. 259(1), pages 415-436, December.
    16. Taleizadeh, Ata Allah & Pentico, David W., 2013. "An economic order quantity model with a known price increase and partial backordering," European Journal of Operational Research, Elsevier, vol. 228(3), pages 516-525.
    17. Taleizadeh, Ata Allah, 2014. "An EOQ model with partial backordering and advance payments for an evaporating item," International Journal of Production Economics, Elsevier, vol. 155(C), pages 185-193.

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