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Transportation Procurement with Seasonally Varying Shipper Demand and Volume Guarantees

Author

Listed:
  • Andrew Lim

    (Department of Industrial Engineering and Logistics Management, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong)

  • Brian Rodrigues

    (Lee Kong Chian School of Business, Singapore Management University, Singapore 178899)

  • Zhou Xu

    (Department of Logistics, Faculty of Business, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong)

Abstract

Transportation companies that operate in seasonal markets where differences in demand occur in peak and nonpeak periods often negotiate for some form of demand smoothing with the customer---i.e., the shipper. In this paper, we study a shipper's transportation procurement model, in which the shipper gives assurances, through volume guarantees negotiated with the transportation companies, that shipments made in nonpeak periods will be commensurate with shipments in peak periods. The shipper uses the model in an auction process, in which the transportation companies bid for routes giving prices and capacity limits, to procure freight services from the companies, which minimizes its total transportation costs. The model is formulated as an integer programming problem that is shown to be strongly (N-script) (P-script)-hard even for a single-route network. We develop a solution approach that builds on the solution of the subproblem when only one transportation company is available to construct heuristic algorithms, including a linear programming relaxation-based method. Worst-case analysis is given, and the effectiveness of the algorithms is tested in numerical experimentation. By examining parameter sensitivity, insight is provided on how the algorithms can be used by the shipper for making procurement decisions. The practical usefulness of the model and the solution approaches is substantiated by its deployment with a multinational shipper.

Suggested Citation

  • Andrew Lim & Brian Rodrigues & Zhou Xu, 2008. "Transportation Procurement with Seasonally Varying Shipper Demand and Volume Guarantees," Operations Research, INFORMS, vol. 56(3), pages 758-771, June.
    • Handle: RePEc:inm:oropre:v:56:y:2008:i:3:p:758-771
    DOI: 10.1287/opre.1070.0481
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    References listed on IDEAS

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    1. Yossi Sheffi, 2004. "Combinatorial Auctions in the Procurement of Transportation Services," Interfaces, INFORMS, vol. 34(4), pages 245-252, August.
    2. John O. Ledyard & Mark Olson & David Porter & Joseph A. Swanson & David P. Torma, 2002. "The First Use of a Combined-Value Auction for Transportation Services," Interfaces, INFORMS, vol. 32(5), pages 4-12, October.
    3. Andrew Lim & Fan Wang & Zhou Xu, 2006. "A Transportation Problem with Minimum Quantity Commitment," Transportation Science, INFORMS, vol. 40(1), pages 117-129, February.
    4. Sven de Vries & Rakesh V. Vohra, 2003. "Combinatorial Auctions: A Survey," INFORMS Journal on Computing, INFORMS, vol. 15(3), pages 284-309, August.
    5. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    6. Song, Jiongjiong & Regan, Amelia, 2005. "Approximation algorithms for the bid construction problem in combinatorial auctions for the procurement of freight transportation contracts," Transportation Research Part B: Methodological, Elsevier, vol. 39(10), pages 914-933, December.
    7. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    8. Jewel S. Bonser & S. David Wu, 2001. "Procurement Planning to Maintain Both Short-Term Adaptiveness and Long-Term Perspective," Management Science, INFORMS, vol. 47(6), pages 769-786, June.
    9. Michael H. Rothkopf & Aleksandar Pekev{c} & Ronald M. Harstad, 1998. "Computationally Manageable Combinational Auctions," Management Science, INFORMS, vol. 44(8), pages 1131-1147, August.
    10. Oktay Günlük & Lászlo Ladányi & Sven de Vries, 2005. "A Branch-and-Price Algorithm and New Test Problems for Spectrum Auctions," Management Science, INFORMS, vol. 51(3), pages 391-406, March.
    11. Song, Jiongjiong & Regan, A C, 2003. "An Auction Based Collaborative Carrier Network," University of California Transportation Center, Working Papers qt2g88d8vc, University of California Transportation Center.
    12. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
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