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An Economic Order Quantity model with partial backordering and all-units discount

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  • Taleizadeh, Ata Allah
  • Pentico, David W.

Abstract

The classic Economic Order Quantity model assumes that the unit purchasing cost is not based on the order quantity. In practice, a supplier may offer purchasers an all-units discount. We develop a model and solution procedure for the EOQ with all-unit discounts and partial backordering at a constant rate. We show, and illustrate with a numerical example, how that model can be used to find the solution for the EOQ with discount and full backordering. A multi-factor experiment is used to gain insights into the improvement in performance of the proposed procedure relative to using the basic EOQ or the EOQ with full backordering and to identify the model parameters that have the greatest impact on the model׳s performance.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:proeco:v:155:y:2014:i:c:p:172-184
    DOI: 10.1016/j.ijpe.2014.01.012
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    Cited by:

    1. Lin Feng & Konstantina Skouri & Wan-Chih Wang & Jinn-Tsair Teng, 2022. "Optimal selling price, replenishment cycle and payment time among advance, cash, and credit payments from the seller’s perspective," Annals of Operations Research, Springer, vol. 315(2), pages 791-812, August.
    2. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    3. 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.
    4. 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.
    5. Zissis, Dimitris & Ioannou, George & Burnetas, Apostolos, 2015. "Supply chain coordination under discrete information asymmetries and quantity discounts," Omega, Elsevier, vol. 53(C), pages 21-29.
    6. 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.
    7. Li, Yanhai & Ou, Jinwen, 2020. "Optimal ordering policy for complementary components with partial backordering and emergency replenishment under spectral risk measure," European Journal of Operational Research, Elsevier, vol. 284(2), pages 538-549.
    8. Ata Allah Taleizadeh & Elham Haji-Sami & Mahsa Noori-daryan, 2020. "A robust optimization model for coordinating pharmaceutical reverse supply chains under return strategies," Annals of Operations Research, Springer, vol. 291(1), pages 875-896, August.
    9. Chandan Mahato & Gour Chandra Mahata, 2023. "Sustainable partial backordering inventory model under linked-to-order credit policy and all-units discount with capacity constraint and carbon emissions," Flexible Services and Manufacturing Journal, Springer, vol. 35(3), pages 896-944, September.
    10. Alım, Muzaffer & Beullens, Patrick, 2020. "Joint inventory and distribution strategy for online sales with a flexible delivery option," International Journal of Production Economics, Elsevier, vol. 222(C).
    11. Jackson, Jonathan E. & Munson, Charles L., 2019. "Common replenishment cycle order policies for multiple products with capacity expansion opportunities and quantity discounts," International Journal of Production Economics, Elsevier, vol. 218(C), pages 170-184.
    12. Taleizadeh, Ata Allah & Moshtagh, Mohammad Sadegh, 2019. "A consignment stock scheme for closed loop supply chain with imperfect manufacturing processes, lost sales, and quality dependent return: Multi Levels Structure," International Journal of Production Economics, Elsevier, vol. 217(C), pages 298-316.
    13. Taleizadeh, Ata Allah & Noori-daryan, Mahsa & Cárdenas-Barrón, Leopoldo Eduardo, 2015. "Joint optimization of price, replenishment frequency, replenishment cycle and production rate in vendor managed inventory system with deteriorating items," International Journal of Production Economics, Elsevier, vol. 159(C), pages 285-295.
    14. 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.
    15. 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.
    16. Alaa Fouad Momena & Rakibul Haque & Mostafijur Rahaman & Sankar Prasad Mondal, 2023. "A Two-Storage Inventory Model with Trade Credit Policy and Time-Varying Holding Cost under Quantity Discounts," Logistics, MDPI, vol. 7(4), pages 1-25, October.
    17. 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.
    18. 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.
    19. Ata Allah Taleizadeh & Bita Hazarkhani & Ilkyeong Moon, 2020. "Joint pricing and inventory decisions with carbon emission considerations, partial backordering and planned discounts," Annals of Operations Research, Springer, vol. 290(1), pages 95-113, July.
    20. Pourmohammad Zia, Nadia & Taleizadeh, Ata Allah, 2015. "A lot-sizing model with backordering under hybrid linked-to-order multiple advance payments and delayed payment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 82(C), pages 19-37.
    21. Khan, Md. Al-Amin & Shaikh, Ali Akbar & Cárdenas-Barrón, Leopoldo Eduardo, 2021. "An inventory model under linked-to-order hybrid partial advance payment, partial credit policy, all-units discount and partial backlogging with capacity constraint," Omega, Elsevier, vol. 103(C).
    22. Shi, Yan & Zhang, Zhiyong & Chen, Sheng-Chih & Cárdenas-Barrón, Leopoldo Eduardo & Skouri, Konstantina, 2020. "Optimal replenishment decisions for perishable products under cash, advance, and credit payments considering carbon tax regulations," International Journal of Production Economics, Elsevier, vol. 223(C).
    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.
    24. 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.
    25. Zheng, Qi & Zhou, Li & Fan, Tijun & Ieromonachou, Petros, 2019. "Joint procurement and pricing of fresh produce for multiple retailers with a quantity discount contract," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 130(C), pages 16-36.

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