On optimal placement of relay nodes for reliable connectivity in wireless sensor networks

Hai Liu (), Pengjun Wan () and Xiaohua Jia ()
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Hai Liu: City University of Hong Kong
Pengjun Wan: City University of Hong Kong
Xiaohua Jia: City University of Hong Kong

Journal of Combinatorial Optimization, 2006, vol. 11, issue 2, No 10, 249-260

Abstract: Abstract The paper addresses the relay node placement problem in two-tiered wireless sensor networks. Given a set of sensor nodes in Euclidean plane, our objective is to place minimum number of relay nodes to forward data packets from sensor nodes to the sink, such that: 1) the network is connected, 2) the network is 2-connected. For case one, we propose a (6+ε)-approximation algorithm for any ε > 0 with polynomial running time when ε is fixed. For case two, we propose two approximation algorithms with (24+ε) and (6/T+12+ε), respectively, where T is the ratio of the number of relay nodes placed in case one to the number of sensors. We further extend the results to the cases where communication radiuses of sensor nodes and relay nodes are different from each other.

Keywords: Sensor networks; Fault-tolerant; Relay node placement; Approximation algorithms (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10878-006-7140-y

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