Location-Aided Fast Distributed Consensus in Wireless Networks

被引:13
|
作者
Li, Wenjun [1 ]
Dai, Huaiyu [1 ]
Zhang, Yanbing [1 ]
机构
[1] N Carolina State Univ, Dept Elect & Comp Engn, Raleigh, NC 27695 USA
基金
美国国家科学基金会;
关键词
Clustering; distributed computation; distributed consensus; message complexity; mixing time; nonreversible Markov chains; time complexity; GOSSIP; CONVERGENCE;
D O I
10.1109/TIT.2010.2081030
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Existing works on distributed consensus explore linear iterations based on reversible Markov chains, which contribute to the slow convergence of the algorithms. It has been observed that by overcoming the diffusive behavior of reversible chains, certain nonreversible chains lifted from reversible ones mix substantially faster than the original chains. In this paper, the idea of Markov chain lifting is studied to accelerate the convergence of distributed consensus, and two general pseudoalgorithms are presented. These pseudoalgorithms are then instantiated through a class of location-aided distributed averaging (LADA) algorithms for wireless networks, where nodes' coarse location information is used to construct nonreversible chains that facilitate distributed computing and cooperative processing. Our first LADA algorithm is designed for grid networks; for a k x k grid network, it achieves an epsilon-averaging time of O(k log(epsilon(-1))). Based on this algorithm, in a wireless network with transmission range r, an epsilon-averaging time of O(r(-1) log(epsilon(-1))) can be attained through a centralized algorithm. Subsequently, a distributed LADA algorithm is presented, achieving the same scaling law in averaging time as the centralized scheme in wireless networks for all r satisfying the connectivity requirement; the constructed chain also attains the optimal scaling law in terms of an important mixing metric, the fill time, in its class. Finally, a cluster-based LADA algorithm is proposed, which, requiring no central coordination, provides the additional benefit of reduced message complexity compared with the distributed LADA algorithm.
引用
收藏
页码:6208 / 6227
页数:20
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