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An economic order quantity model with a known price increase and partial backordering

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  • Taleizadeh, Ata Allah
  • Pentico, David W.

Abstract

A constant unit purchase cost is one of the main assumptions in the classic Economic Order Quantity model. In practice, suppliers sometimes face a known price increase. In this paper, we develop EOQ models with a known price increase and partial backordering under two different assumptions about when the increase will occur. We prove the concavity of the extra profit functions for both scenarios if a special order is placed just before the price increases. A solution method is proposed and numerical examples are presented.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:228:y:2013:i:3:p:516-525
    DOI: 10.1016/j.ejor.2013.02.014
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    References listed on IDEAS

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    1. Benjamin Lev & Howard J. Weiss, 1990. "Inventory Models with Cost Changes," Operations Research, INFORMS, vol. 38(1), pages 53-63, February.
    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. 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.
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    8. 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.
    9. Kingsman, Brian G. & Boussofiane, Aziz, 1989. "Ordering and stockholding under price inflation when prices increase in successive discrete jumps," Engineering Costs and Production Economics, Elsevier, vol. 17(1-4), pages 395-407, August.
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    11. Andrew Lim & Brian Rodrigues, 2005. "A Note on the Optimal EOQ for Announced Price Increases in the Infinite Horizon," Operations Research, INFORMS, vol. 53(4), pages 731-732, August.
    12. 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.
    13. Wei Huang & Vidyadhar G. Kulkarni & Jayashankar M. Swaminathan, 2003. "Optimal EOQ for Announced Price Increases in Infinite Horizon," Operations Research, INFORMS, vol. 51(2), pages 336-339, April.
    14. Tersine, Richard J., 1996. "Economic replenishment strategies for announced price increases," European Journal of Operational Research, Elsevier, vol. 92(2), pages 266-280, July.
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    Cited by:

    1. Mrudul Y. Jani & Heta A. Patel & Amrita Bhadoriya & Urmila Chaudhari & Mohamed Abbas & Malak S. Alqahtani, 2023. "Deterioration Control Decision Support System for the Retailer during Availability of Trade Credit and Shortages," Mathematics, MDPI, vol. 11(3), pages 1-27, January.
    2. Raj, Praveen Vijaya Raj Pushpa & Nagarajan, Bagathsingh & Schoenherr, Tobias & Ramkumar, M., 2023. "A comparative investigation of a seller’s disaster payment period policy," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 171(C).
    3. M. Palanivel & R. Uthayakumar, 2016. "Two-warehouse inventory model for non-instantaneous deteriorating items with partial backlogging and inflation over a finite time horizon," OPSEARCH, Springer;Operational Research Society of India, vol. 53(2), pages 278-302, June.
    4. Mohsen Lashgari & Ata Allah Taleizadeh & Abbas Ahmadi, 2016. "Partial up-stream advanced payment and partial down-stream delayed payment in a three-level supply chain," Annals of Operations Research, Springer, vol. 238(1), pages 329-354, March.
    5. 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.
    6. 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.
    7. Mohammed Alnahhal & Batin Latif Aylak & Muataz Al Hazza & Ahmad Sakhrieh, 2024. "Economic Order Quantity: A State-of-the-Art in the Era of Uncertain Supply Chains," Sustainability, MDPI, vol. 16(14), pages 1-19, July.
    8. Noori-Daryan, Mahsa & Taleizadeh, Ata Allah & Jolai, Fariborz, 2019. "Analyzing pricing, promised delivery lead time, supplier-selection, and ordering decisions of a multi-national supply chain under uncertain environment," International Journal of Production Economics, Elsevier, vol. 209(C), pages 236-248.
    9. 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.
    10. 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.
    11. Ata Allah Taleizadeh, 2017. "Stochastic Multi-Objectives Supply Chain Optimization with Forecasting Partial Backordering Rate: A Novel Hybrid Method of Meta Goal Programming and Evolutionary Algorithms," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(04), pages 1-28, August.
    12. 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.
    13. 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.
    14. M. Palanivel & R. Uthayakumar, 2015. "Finite horizon EOQ model for non-instantaneous deteriorating items with price and advertisement dependent demand and partial backlogging under inflation," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(10), pages 1762-1773, July.
    15. Suresha Kharvi & T. P. M. Pakkala & G. Srinivasan, 2019. "Ordering policies under currency risk sharing agreements: a Markov chain approach," OPSEARCH, Springer;Operational Research Society of India, vol. 56(3), pages 945-964, September.
    16. Taleizadeh, Ata Allah & Sadeghi, Razieh, 2019. "Pricing strategies in the competitive reverse supply chains with traditional and e-channels: A game theoretic approach," International Journal of Production Economics, Elsevier, vol. 215(C), pages 48-60.
    17. 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.
    18. 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.
    19. 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.
    20. Suresha Kharvi & T. P. M. Pakkala, 2021. "An optimal inventory policy when purchase price follows geometric Brownian motion process," OPSEARCH, Springer;Operational Research Society of India, vol. 58(4), pages 835-851, December.
    21. Bhaskar Bhaula & Jayanta Kumar Dash & M. Rajendra Kumar, 2019. "An optimal inventory model for perishable items under successive price discounts with permissible delay in payments," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 261-281, March.
    22. Pinçe, Çerağ, 2021. "Forward Buying and Strategic Stockouts," European Journal of Operational Research, Elsevier, vol. 289(1), pages 118-131.
    23. 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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