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Combinatorial Auction with Minimal Resource Requirements

机译:最少资源需求的组合拍卖

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摘要

Although combinatorial auction has been studied extensively, it is difficult to apply the existing results to a problem with minimal resource requirements. In this paper, we consider a combinatorial auction problem in which an auctioneer wants to acquire resources from a set of bidders to process the tasks on hand. Each task requires a minimal set of resources for executing the operations. Each bidder owns a set of resources to bid for the tasks. The problem is to determine the resource assignment to minimize the total cost to perform the tasks. The main results include: (1) a problem formulation for combinatorial auction with minimal resource requirements; (2) a solution methodology based on Lagrangian relaxation; (3) an economic interpretation and a proposed structure for implementing our solution algorithms.
机译:尽管组合拍卖已被广泛研究,但是难以将现有结果应用于资源需求最少的问题。在本文中,我们考虑一个组合拍卖问题,在该问题中,拍卖师希望从一组竞标者那里获取资源以处理手头的任务。每个任务都需要最少的资源集来执行操作。每个竞标者都拥有一组资源来竞标任务。问题在于确定资源分配以最小化执行任务的总成本。主要结果包括:(1)在资源需求最少的情况下进行组合拍卖的问题公式; (2)基于拉格朗日松弛的解决方法; (3)一种经济的解释,以及为实现我们的求解算法而提出的结构。

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