arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 2006.01598cs.DCcs.CCcs.ITmath.IT
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一种新的基于地理位置的K中心问题求解方法

A Novel Approach to Solve K-Center Problems with Geographical Placement

Peter Hillmann, Tobias Uhlig, Gabi Dreo Rodosek, Oliver Rose

摘要:

设施选址问题是物流领域的一个众所周知的挑战,被证明是NP难的。在本文中,我们专门模拟的地理位置的设施,以提供足够的服务给客户。确定合理的中心位置是管理的一个重要挑战,因为它直接影响未来的服务成本。通常,目标是放置中心节点,以便所有客户都可以方便地访问它们。我们分析问题,比较不同的布局策略,并评估所需的中心数量。我们使用现有的几种方法,并提出了一个新的启发式的问题。对于我们的实验,我们考虑各种情况下,采用模拟来评估优化算法的性能。我们的新优化方法显示出显著的改进。所提出的结果一般适用于许多领域,例如,军事基地的布置、内容分发网络的规划或仓库的布置。

英文摘要:

The facility location problem is a well-known challenge in logistics that is proven to be NP-hard. In this paper we specifically simulate the geographical placement of facilities to provide adequate service to customers. Determining reasonable center locations is an important challenge for a management since it directly effects future service costs. Generally, the objective is to place the central nodes such that all customers have convenient access to them. We analyze the problem and compare different placement strategies and evaluate the number of required centers. We use several existing approaches and propose a new heuristic for the problem. For our experiments we consider various scenarios and employ simulation to evaluate the performance of the optimization algorithms. Our new optimization approach shows a significant improvement. The presented results are generally applicable to many domains, e.g., the placement of military bases, the planning of content delivery networks, or the placement of warehouses.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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