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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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    1. Ford W. Harris, 1990. "How Many Parts to Make at Once," Operations Research, INFORMS, vol. 38(6), pages 947-950, December.
    2. Lap Mui Ann Chan & Ana Muriel & Zuo-Jun Max Shen & David Simchi-Levi & Chung-Piaw Teo, 2002. "Effective Zero-Inventory-Ordering Policies for the Single-Warehouse Multiretailer Problem with Piecewise Linear Cost Structures," Management Science, INFORMS, vol. 48(11), pages 1446-1460, November.
    3. Steven A. Lippman, 1969. "Optimal Inventory Policy with Multiple Set-Up Costs," Management Science, INFORMS, vol. 16(1), pages 118-138, September.
    4. Chung-Lun Li & Vernon Ning Hsu & Wen-Qiang Xiao, 2004. "Dynamic Lot Sizing with Batch Ordering and Truckload Discounts," Operations Research, INFORMS, vol. 52(4), pages 639-654, August.
    5. Aucamp, Donald C., 1982. "Nonlinear freight costs in the EOQ problem," European Journal of Operational Research, Elsevier, vol. 9(1), pages 61-63, January.
    6. J Hu & C L Munson & E A Silver, 2004. "A modified Silver–Meal heuristic for dynamic lot sizing under incremental quantity discounts," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(6), pages 671-673, June.
    7. Fangruo Chen & Awi Federgruen & Yu-Sheng Zheng, 2001. "Coordination Mechanisms for a Distribution System with One Supplier and Multiple Retailers," Management Science, INFORMS, vol. 47(5), pages 693-708, May.
    8. Swenseth, Scott R. & Godfrey, Michael R., 2002. "Incorporating transportation costs into inventory replenishment decisions," International Journal of Production Economics, Elsevier, vol. 77(2), pages 113-130, May.
    9. Steven A. Lippman, 1971. "Economic Order Quantities and Multiple Set-Up Costs," Management Science, INFORMS, vol. 18(1), pages 39-47, September.
    10. Lap Mui Ann Chan & Ana Muriel & Zuo-Jun Shen & David Simchi-Levi, 2002. "On the Effectiveness of Zero-Inventory-Ordering Policies for the Economic Lot-Sizing Model with a Class of Piecewise Linear Cost Structures," Operations Research, INFORMS, vol. 50(6), pages 1058-1067, December.
    11. Benton, W. C. & Park, Seungwook, 1996. "A classification of literature on determining the lot size under quantity discounts," European Journal of Operational Research, Elsevier, vol. 92(2), pages 219-238, July.
    12. Stan van Hoesel & H. Edwin Romeijn & Dolores Romero Morales & Albert P. M. Wagelmans, 2005. "Integrated Lot Sizing in Serial Supply Chains with Production Capacities," Management Science, INFORMS, vol. 51(11), pages 1706-1719, November.
    13. J Hu & C L Munson, 2002. "Dynamic demand lot-sizing rules for incremental quantity discounts," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(8), pages 855-863, August.
    14. Katarzyna Iwaniec, 1979. "An Inventory Model with Full Load Ordering," Management Science, INFORMS, vol. 25(4), pages 374-384, April.
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    Cited by:

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    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    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. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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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