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Solving the combinatorial double auction problem
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DOI：10.1016/j.ejor.2003.11.018.png)
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摘要
En 中文
This paper studies the solution of several types of combinatorial (double) auctions. Such auctions have recently been used in business-to-business trading in a centralized marketplace, or in multi-agent coordination systems in artificial intelligence. When the goods are indivisible, solving the winner determination problem (WDP) is an integer programming problem and NP-hard in its general form. We show that a general combinatorial double auction can be reduced to a combinatorial single-sided auction, which is a multi-dimensional knapsack problem. Next, we compare the performance of several solution approaches for this type of problem. We contrast the branch-and-bound method with the intelligent search method proposed separately in three well-referenced papers. We found that theoretically the LP relaxation bounds always dominate the bounds used in the specialized intelligent searches. We also found empirically that the performance of this branch-and-bound method is superior to the specialized search methods that have been proposed for this class of problems. (C) 2004 Elsevier B.V. All rights reserved.
Keyword:
bidding-auctions
artificial intelligence
integer programming
branch-and-bound
analysis of algorithms
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6
论文数:
2.2W
被引数:
6.4W
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