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Analysis and applications of replenishment problems under stepwise transportation costs and generalized wholesale prices

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  • Konur, Dinçer
  • Toptal, Ayşegül

Abstract

In this study, we analyze the replenishment decision of a buyer with the objective of maximizing total expected profits. The buyer faces stepwise freight costs in inbound transportation and a hybrid wholesale price schedule given by a combination of all-units discounts with economies and diseconomies of scale. This general cost structure enables the model and the proposed solution to be also used for the supplier selection of a buyer under the single sourcing assumption. We show that the buyer's replenishment problem reduces to finding and comparing the solutions of the following two subproblems: (i) a replenishment problem involving wholesale prices given by an all-units discount schedule with economies of scale and a lower bound on the replenishment quantity, and (ii) a replenishment problem involving wholesale prices given by an all-units discount schedule with diseconomies of scale and an upper bound on the replenishment quantity. We propose solution methods for these two subproblems, each of which stands alone as practical problems, and utilize these methods to optimally solve the buyer's replenishment problem.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:proeco:v:140:y:2012:i:1:p:521-529
    DOI: 10.1016/j.ijpe.2012.07.003
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    1. Avijit Banerjee, 1986. "Note---On "A Quantity Discount Pricing Model to Increase Vendor Profits"," Management Science, INFORMS, vol. 32(11), pages 1513-1517, November.
    2. Hoque, M. A. & Goyal, S. K., 2000. "An optimal policy for a single-vendor single-buyer integrated production-inventory system with capacity constraint of the transport equipment," International Journal of Production Economics, Elsevier, vol. 65(3), pages 305-315, May.
    3. Swift, Cathy Owens, 1995. "Preferences for single sourcing and supplier selection criteria," Journal of Business Research, Elsevier, vol. 32(2), pages 105-111, February.
    4. Z. Kevin Weng, 1995. "Channel Coordination and Quantity Discounts," Management Science, INFORMS, vol. 41(9), pages 1509-1522, September.
    5. Hau L. Lee & Meir J. Rosenblatt, 1986. "A Generalized Quantity Discount Pricing Model to Increase Supplier's Profits," Management Science, INFORMS, vol. 32(9), pages 1177-1185, September.
    6. Li, Jianli & Liu, Liwen, 2006. "Supply chain coordination with quantity discount policy," International Journal of Production Economics, Elsevier, vol. 101(1), pages 89-98, May.
    7. Xia, Weijun & Wu, Zhiming, 2007. "Supplier selection with multiple criteria in volume discount environments," Omega, Elsevier, vol. 35(5), pages 494-504, October.
    8. James P. Monahan, 1984. "A Quantity Discount Pricing Model to Increase Vendor Profits," Management Science, INFORMS, vol. 30(6), pages 720-726, June.
    9. 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.
    10. Toptal, Aysegül, 2009. "Replenishment decisions under an all-units discount schedule and stepwise freight costs," European Journal of Operational Research, Elsevier, vol. 198(2), pages 504-510, October.
    11. Glock, C. H., 2012. "The joint economic lot size problem: a review," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57811, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    12. 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.
    13. Tersine, Richard J. & Barman, Samir, 1995. "Economic purchasing strategies for temporary price discounts," European Journal of Operational Research, Elsevier, vol. 80(2), pages 328-343, January.
    14. M. Ali Ülkü & James H. Bookbinder, 2012. "Modelling shipment consolidation and pricing decisions for a manufacturer-distributor," International Journal of Revenue Management, Inderscience Enterprises Ltd, vol. 6(1/2), pages 62-76.
    15. Brian Tomlin, 2003. "Capacity Investments in Supply Chains: Sharing the Gain Rather Than Sharing the Pain," Manufacturing & Service Operations Management, INFORMS, vol. 5(4), pages 317-333, November.
    16. Chaudhry, Sohail S. & Forst, Frank G. & Zydiak, James L., 1993. "Vendor selection with price breaks," European Journal of Operational Research, Elsevier, vol. 70(1), pages 52-66, October.
    17. repec:inm:ormnsc:v:30:y:1984:i:12:p:1524-1539(2 is not listed on IDEAS
    18. Glock, Christoph H., 2012. "The joint economic lot size problem: A review," International Journal of Production Economics, Elsevier, vol. 135(2), pages 671-686.
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    2. Schaefer, Brian & Konur, Dinçer, 2015. "Economic and environmental considerations in a continuous review inventory control system with integrated transportation decisions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 80(C), pages 142-165.
    3. Saravanan Venkatachalam & Arunachalam Narayanan, 2016. "Efficient formulation and heuristics for multi-item single source ordering problem with transportation cost," International Journal of Production Research, Taylor & Francis Journals, vol. 54(14), pages 4087-4103, July.
    4. 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.
    5. Konur, Dinçer, 2014. "Carbon constrained integrated inventory control and truckload transportation with heterogeneous freight trucks," International Journal of Production Economics, Elsevier, vol. 153(C), pages 268-279.

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