The Analysis of Kademlia for Random IDs

Q3 Mathematics Internet Mathematics Pub Date : 2014-02-06 DOI:10.1080/15427951.2015.1051674
Xing Shi Cai, L. Devroye
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引用次数: 6

Abstract

Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/uinm. Kademlia is thede factostandard searching algorithm for P2P (peer-to-peer) networks on the Internet. In our earlier work, we introduced two slightly different models for Kademlia and studied how many steps it takes to search for a target node by using Kademlia’s searching algorithm. The first model, in which nodes of the network are labeled with deterministic IDs, was discussed in that article. In the second, the Random ID Model, in which nodes are labeled with random IDs, was only briefly mentioned. Refined results with detailed proofs for this model are given in this article. Our analysis shows that, with high probability, it takes about clog n steps to locate any node, where n is the total number of nodes in the network and c is a constant that does not depend on n.
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随机id的Kademlia分析
文章中一个或多个人物的彩色版本可以在www.tandfonline.com/uinm网站上找到。Kademlia是Internet上P2P(点对点)网络的基本标准搜索算法。在我们早期的工作中,我们为Kademlia引入了两个略有不同的模型,并研究了使用Kademlia的搜索算法搜索目标节点需要多少步。本文讨论了第一种模型,其中网络节点用确定性id标记。在第二篇文章中,只简要地提到了随机ID模型,其中节点用随机ID标记。本文给出了该模型的改进结果,并给出了详细的证明。我们的分析表明,在高概率下,定位任何节点大约需要clog n步,其中n是网络中节点的总数,c是一个不依赖于n的常数。
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Internet Mathematics
Internet Mathematics Mathematics-Applied Mathematics
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