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Incorporating quantity discounts and their inventory impacts into the centralized purchasing decision

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  • Munson, C.L.
  • Hu, J.

Abstract

Multi-site organizations must balance conflicting forces to determine the appropriate degree of purchasing centralization for their respective supplies. The ability to garner quantity discounts represents one of the primary reasons that organizations centralize procurement. This paper provides methodologies to calculate optimal order quantities and compute total purchasing and inventory costs when products have quantity discount pricing. Procedures for both all-units and incremental quantity discount schedules are provided for four different strategic purchasing configurations (scenarios): complete decentralization, centralized pricing with decentralized purchasing, centralized purchasing with local distribution, and centralized purchasing and warehousing. For ordering decisions under local distribution, procedures to determine optimal order quantities and costs are presented in a precise form that could be easily implemented into spreadsheets by practicing managers. For the more complicated multi-echelon scenarios, we introduce a single-cycle policy with a tailored aggregation refinement step that performs very well under experimentation when compared to a conservative bound.

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  • 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.
    • Handle: RePEc:eee:ejores:v:201:y:2010:i:2:p:581-592
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    1. Weng, Z. Kevin, 2004. "Coordinating order quantities between the manufacturer and the buyer: A generalized newsvendor model," European Journal of Operational Research, Elsevier, vol. 156(1), pages 148-161, July.
    2. Vagstad, Steinar, 2000. "Centralized vs. decentralized procurement: Does dispersed information call for decentralized decision-making?," International Journal of Industrial Organization, Elsevier, vol. 18(6), pages 949-963, August.
    3. Schotanus, Fredo & Telgen, Jan & de Boer, Luitzen, 2008. "Unfair allocation of gains under the Equal Price allocation method in purchasing groups," European Journal of Operational Research, Elsevier, vol. 187(1), pages 162-176, May.
    4. Charles L. Munson, 2007. "The appeal of partially centralised purchasing policies," International Journal of Procurement Management, Inderscience Enterprises Ltd, vol. 1(1/2), pages 117-143.
    5. Andrew J. Clark & Herbert Scarf, 2004. "Optimal Policies for a Multi-Echelon Inventory Problem," Management Science, INFORMS, vol. 50(12_supple), pages 1782-1790, December.
    6. Haksever, Cengiz & Moussourakis, John, 2008. "Determining order quantities in multi-product inventory systems subject to multiple constraints and incremental discounts," European Journal of Operational Research, Elsevier, vol. 184(3), pages 930-945, February.
    7. Robin Roundy, 1985. "98%-Effective Integer-Ratio Lot-Sizing for One-Warehouse Multi-Retailer Systems," Management Science, INFORMS, vol. 31(11), pages 1416-1430, November.
    8. Crama, Y. & Pascual J., R. & Torres, A., 2004. "Optimal procurement decisions in the presence of total quantity discounts and alternative product recipes," European Journal of Operational Research, Elsevier, vol. 159(2), pages 364-378, December.
    9. Zhou, Yong-Wu, 2007. "A comparison of different quantity discount pricing policies in a two-echelon channel with stochastic and asymmetric demand information," European Journal of Operational Research, Elsevier, vol. 181(2), pages 686-703, September.
    10. J-Y Lee, 2008. "Quantity discounts based on the previous order in a two-period inventory model with demand uncertainty," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(7), pages 1004-1011, July.
    11. 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.
    12. Sarmah, S.P. & Acharya, D. & Goyal, S.K., 2006. "Buyer vendor coordination models in supply chain management," European Journal of Operational Research, Elsevier, vol. 175(1), pages 1-15, November.
    13. Z. Kevin Weng, 1995. "Channel Coordination and Quantity Discounts," Management Science, INFORMS, vol. 41(9), pages 1509-1522, September.
    14. 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.
    15. Gary D. Eppen, 1979. "Note--Effects of Centralization on Expected Costs in a Multi-Location Newsboy Problem," Management Science, INFORMS, vol. 25(5), pages 498-501, May.
    16. Goossens, D.R. & Maas, A.J.T. & Spieksma, F.C.R. & van de Klundert, J.J., 2007. "Exact algorithms for procurement problems under a total quantity discount structure," European Journal of Operational Research, Elsevier, vol. 178(2), pages 603-626, April.
    17. Burke, Gerard J. & Carrillo, Janice & Vakharia, Asoo J., 2008. "Heuristics for sourcing from multiple suppliers with alternative quantity discounts," European Journal of Operational Research, Elsevier, vol. 186(1), pages 317-329, April.
    18. Blumenfeld, Dennis E. & Burns, Lawrence D. & Diltz, J. David & Daganzo, Carlos F., 1985. "Analyzing trade-offs between transportation, inventory and production costs on freight networks," Transportation Research Part B: Methodological, Elsevier, vol. 19(5), pages 361-380, October.
    19. 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.
    20. 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.
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    Cited by:

    1. Jackson, Jonathan E. & Munson, Charles L., 2016. "Shared resource capacity expansion decisions for multiple products with quantity discounts," European Journal of Operational Research, Elsevier, vol. 253(3), pages 602-613.
    2. Tamjidzad, Shahrzad & Mirmohammadi, S. Hamid, 2015. "An optimal (r, Q) policy in a stochastic inventory system with all-units quantity discount and limited sharable resource," European Journal of Operational Research, Elsevier, vol. 247(1), pages 93-100.
    3. Manerba, Daniele & Mansini, Renata & Perboli, Guido, 2018. "The Capacitated Supplier Selection problem with Total Quantity Discount policy and Activation Costs under uncertainty," International Journal of Production Economics, Elsevier, vol. 198(C), pages 119-132.
    4. Li, Jin & Shi, Victor, 2019. "The benefit of horizontal decentralization in durable good procurement," Omega, Elsevier, vol. 82(C), pages 13-23.
    5. Anil Arya & Hans Frimor & Brian Mittendorf, 2015. "Decentralized Procurement in Light of Strategic Inventories," Management Science, INFORMS, vol. 61(3), pages 578-585, March.
    6. Rothkopf, Alexander & Pibernik, Richard, 2016. "Maverick buying: Eliminate, participate, leverage?," International Journal of Production Economics, Elsevier, vol. 179(C), pages 77-89.
    7. Menghan Chen & Sheng Ang & Lijing Jiang & Feng Yang, 2020. "Centralized resource allocation based on cross-evaluation considering organizational objective and individual preferences," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(2), pages 529-565, June.
    8. Michael Katehakis & Laurens Smit, 2012. "On computing optimal (Q,r) replenishment policies under quantity discounts," Annals of Operations Research, Springer, vol. 200(1), pages 279-298, November.
    9. Fang Fang & Harihara Prasad Natarajan, 2020. "Sourcing and Procurement Cost Allocation in Multi‐Division Firms," Production and Operations Management, Production and Operations Management Society, vol. 29(3), pages 767-787, March.
    10. Li, Jin & Yang, Shilei & Shi, Victor & Zhai, Senjing, 2020. "Partial vertical centralization in competing supply chains," International Journal of Production Economics, Elsevier, vol. 224(C).
    11. Manerba, Daniele & Mansini, Renata, 2012. "An exact algorithm for the Capacitated Total Quantity Discount Problem," European Journal of Operational Research, Elsevier, vol. 222(2), pages 287-300.
    12. 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.
    13. 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.
    14. 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.

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