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Incorporating quantity discounts to the EOQ model with transportation costs

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  • Mendoza, Abraham
  • Ventura, José A.

Abstract

This article extends a previous Economic Order Quantity (EOQ) model with two modes of transportation, namely truckload (TL) and less than truckload (LTL) carriers, by introducing all-units and incremental quantity discount structures into the analysis. Exact algorithms are developed for each quantity discount structure to compute optimal policies for single-stage models over an infinite planning horizon.

Suggested Citation

  • Mendoza, Abraham & Ventura, José A., 2008. "Incorporating quantity discounts to the EOQ model with transportation costs," International Journal of Production Economics, Elsevier, vol. 113(2), pages 754-765, June.
    • Handle: RePEc:eee:proeco:v:113:y:2008:i:2:p:754-765
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    References listed on IDEAS

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    Cited by:

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    2. Baller, Reinhard & Fontaine, Pirmin & Minner, Stefan & Lai, Zhen, 2022. "Optimizing automotive inbound logistics: A mixed-integer linear programming approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 163(C).
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    4. Michael Godfrey & Andrew Manikas, 2012. "Teaching Supply Chain Management Students About Using Actual Motor Carrier Freight Rates In Purchase Lotsizing Models," Business Education and Accreditation, The Institute for Business and Finance Research, vol. 4(2), pages 49-59.
    5. Yang, Liu & Liu, Kanglin & Zhang, Juan & Zelbst, Pamela J., 2024. "Inventory management with actual palletized transportation costs and lost sales," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 184(C).
    6. Andriolo, Alessandro & Battini, Daria & Grubbström, Robert W. & Persona, Alessandro & Sgarbossa, Fabio, 2014. "A century of evolution from Harris׳s basic lot size model: Survey and research agenda," International Journal of Production Economics, Elsevier, vol. 155(C), pages 16-38.
    7. Venegas, Bárbara B. & Ventura, José A., 2018. "A two-stage supply chain coordination mechanism considering price sensitive demand and quantity discounts," European Journal of Operational Research, Elsevier, vol. 264(2), pages 524-533.
    8. Engebrethsen, Erna & Dauzère-Pérès, Stéphane, 2019. "Transportation mode selection in inventory models: A literature review," European Journal of Operational Research, Elsevier, vol. 279(1), pages 1-25.
    9. Cheng-An Tsai & Che-Wei Chang, 2022. "Development of a Partial Shipping Fees Pricing Model to Influence Consumers’ Purchase Intention under the COVID-19 Pandemic," Energies, MDPI, vol. 15(5), pages 1-16, March.
    10. Toptal, Ayşegül, 2012. "Integration of shipment scheduling decisions for forward and reverse channels in a recoverable item system," International Journal of Production Economics, Elsevier, vol. 140(1), pages 129-137.
    11. Dinçer Konur & Joseph Geunes, 2019. "Integrated districting, fleet composition, and inventory planning for a multi-retailer distribution system," Annals of Operations Research, Springer, vol. 273(1), pages 527-559, February.
    12. McDonald, Conor M., 2016. "Integrating packaging and supply chain decisions: Selection of economic handling unit quantities," International Journal of Production Economics, Elsevier, vol. 180(C), pages 208-221.
    13. Munson, C.L. & Hu, J., 2010. "Incorporating quantity discounts and their inventory impacts into the centralized purchasing decision," European Journal of Operational Research, Elsevier, vol. 201(2), pages 581-592, March.
    14. 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.
    15. Sadia Samar Ali & Haripriya Barman & Rajbir Kaur & Hana Tomaskova & Sankar Kumar Roy, 2021. "Multi-Product Multi Echelon Measurements of Perishable Supply Chain: Fuzzy Non-Linear Programming Approach," Mathematics, MDPI, vol. 9(17), pages 1-27, August.
    16. Aria Shahsavar & Nima Zoraghi & Babak Abbasi, 2018. "Integration of resource investment problem with quantity discount problem in material ordering for minimizing resource costs of projects," Operational Research, Springer, vol. 18(2), pages 315-342, July.
    17. Toptal, Aysegül & Bingöl, Safa Onur, 2011. "Transportation pricing of a truckload carrier," European Journal of Operational Research, Elsevier, vol. 214(3), pages 559-567, November.
    18. Andrew Manikas & Michael Godfrey, 2018. "A Spreadsheet Approach For Incorporating Actual Motor Carrier Freight Rates And External Environmental Costs In A Newsvendor Model," International Journal of Management and Marketing Research, The Institute for Business and Finance Research, vol. 11(1), pages 55-72.
    19. Konur, Dinçer & Toptal, Ayşegül, 2012. "Analysis and applications of replenishment problems under stepwise transportation costs and generalized wholesale prices," International Journal of Production Economics, Elsevier, vol. 140(1), pages 521-529.

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