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Quantity discount with freight consolidation

Author

Listed:
  • Nguyen, H.N.
  • Rainwater, C.E.
  • Mason, S.J.
  • Pohl, E.A.

Abstract

We study an integrated quantity discount and vehicle routing problem where truck utilization is increased by building multi-stop routes and increasing order sizes through a purchase incentive. We model the problem and prove it to be NP-hard. Our experiments show that commercial solvers do not effectively solve instances with more than ten buyers. We propose the use of non-compromising route elimination rules and other improvement techniques for a route-based formulation. Our experimentation suggests that a cost savings of 18% can be realized by utilizing our model.

Suggested Citation

  • Nguyen, H.N. & Rainwater, C.E. & Mason, S.J. & Pohl, E.A., 2014. "Quantity discount with freight consolidation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 66(C), pages 66-82.
  • Handle: RePEc:eee:transe:v:66:y:2014:i:c:p:66-82
    DOI: 10.1016/j.tre.2014.03.004
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    References listed on IDEAS

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    1. Meena, P.L. & Sarmah, S.P., 2013. "Multiple sourcing under supplier failure risk and quantity discount: A genetic algorithm approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 50(C), pages 84-97.
    2. Brandao, Jose, 2004. "A tabu search algorithm for the open vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 157(3), pages 552-564, September.
    3. Mutlu, Fatih & Çetinkaya, SIla, 2010. "An integrated model for stock replenishment and shipment scheduling under common carrier dispatch costs," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(6), pages 844-854, November.
    4. D Sariklis & S Powell, 2000. "A heuristic method for the open vehicle routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(5), pages 564-573, May.
    5. Roar Grønhaug & Marielle Christiansen & Guy Desaulniers & Jacques Desrosiers, 2010. "A Branch-and-Price Method for a Liquefied Natural Gas Inventory Routing Problem," Transportation Science, INFORMS, vol. 44(3), pages 400-415, August.
    6. Rachel Chen & Lawrence Robinson, 2012. "Optimal multiple-breakpoint quantity discount schedules for customers with heterogeneous demands: all-unit or incremental?," IISE Transactions, Taylor & Francis Journals, vol. 44(3), pages 199-214.
    7. Fung, Richard Y.K. & Liu, Ran & Jiang, Zhibin, 2013. "A memetic algorithm for the open capacitated arc routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 50(C), pages 53-67.
    8. 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.
    9. 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.
    10. Zhao, Qiu hong & Chen, Shuang & Leung, Stephen C.H. & Lai, K.K., 2010. "Integration of inventory and transportation decisions in a logistics system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(6), pages 913-925, November.
    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.
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    Cited by:

    1. 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.
    2. Pascual, Rodrigo & Santelices, Gabriel & Lüer-Villagra, Armin & Vera, Jorge & Cawley, Alejandro Mac, 2017. "Optimal repairable spare-parts procurement policy under total business volume discount environment," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 276-282.
    3. Julio Montecinos & Mustapha Ouhimmou & Satyaveer Chauhan & Marc Paquet & Ali Gharbi, 2021. "Transport carriers’ cooperation on the last-mile delivery in urban areas," Transportation, Springer, vol. 48(5), pages 2401-2431, October.
    4. Gahm, Christian & Brabänder, Christian & Tuma, Axel, 2017. "Vehicle routing with private fleet, multiple common carriers offering volume discounts, and rental options," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 97(C), pages 192-216.
    5. Qiu, Xuan & Lee, Chung-Yee, 2019. "Quantity discount pricing for rail transport in a dry port system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 563-580.

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