Reverse Ant Colony Optimization for the Winner Determination Problem in Combinatorial Auctions

Serhat Uzunbayir
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Abstract

An auction is an effective process of trading items among bidders and sellers. Combinatorial auctions are auctions in which bidders can place bids on a bundle of items rather than bidding on a single item. As a result, they lead to more efficient allocations compared to traditional auctions. Determining the winners whose bids maximize the auctioneer's profit is known as the winner determination problem. The problem is NP-complete since it is not possible to solve it in polynomial time as the inputs increase. In this paper, reverse ant colony optimization algorithm is proposed for the problem which focuses on maximization of the ants' route instead of minimization of the regular version. The experimental results are compared using different size data sets with a previously proposed genetic algorithm and a random search algorithm. The experiments indicate that, as the search space expands, the proposed algorithm finds better solutions than the others.
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组合拍卖中标者确定问题的逆向蚁群优化
拍卖是买卖双方交易物品的有效过程。组合拍卖是指投标人可以对一捆物品而不是对单个物品进行投标的拍卖。因此,与传统拍卖相比,它们的分配效率更高。确定出价能使拍卖商利润最大化的中标者被称为中标者确定问题。这个问题是np完全的,因为随着输入的增加,不可能在多项式时间内解决它。本文提出了一种反向蚁群优化算法,该算法关注的是蚂蚁路线的最大化,而不是常规版本的最小化。采用遗传算法和随机搜索算法对不同规模数据集的实验结果进行了比较。实验表明,随着搜索空间的扩大,本文提出的算法比其他算法找到更好的解。
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