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Approximation algorithms for the bid construction problem in combinatorial auctions for the procurement of freight transportation contracts

  • Song, Jiongjiong
  • Regan, Amelia
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    Trucking companies (carriers) are increasingly facing combinatorial auctions conducted by shippers seeking contracts for their transportation needs. The bid valuation and construction problem for carriers facing these combinatorial auctions is very difficult and involves the computation of a number of NP-hard sub problems. In this paper we examine computationally tractable approximation methods for estimating these values and constructing bids. The benefit of our approximation method is that it provides a way for carriers to discover their true costs and construct optimal or near optimal bids by solving a single NP-hard problem. This represents a significant improvement in computational efficiency. We examine our method both analytically and empirically using a simulation based analysis.

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    Article provided by Elsevier in its journal Transportation Research Part B: Methodological.

    Volume (Year): 39 (2005)
    Issue (Month): 10 (December)
    Pages: 914-933

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    Handle: RePEc:eee:transb:v:39:y:2005:i:10:p:914-933
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    1. Bykowsky, Mark M. & Cull, Robert J. & Ledyard, John O., 1998. "Mutually Destructive Bidding: The FCC Auction Design Problem," Working Papers 916, California Institute of Technology, Division of the Humanities and Social Sciences.
    2. Jeffrey S. Banks & John O. Ledyard & David P. Porter, 1989. "Allocating Uncertain and Unresponsive Resources: An Experimental Approach," RAND Journal of Economics, The RAND Corporation, vol. 20(1), pages 1-25, Spring.
    3. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
    4. Michael H. Rothkopf & Aleksandar Peke\v{c} & Ronald M. Harstad, 1998. "Computationally Manageable Combinational Auctions," Management Science, INFORMS, vol. 44(8), pages 1131-1147, August.
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