TY - JOUR
T1 - On optimal placement of relay nodes for reliable connectivity in wireless sensor networks
AU - Liu, Hai
AU - Wan, Pengjun
AU - Jia, Xiaohua
PY - 2006/3
Y1 - 2006/3
N2 - 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. © Springer Science + Business Media, LLC 2006.
AB - 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. © Springer Science + Business Media, LLC 2006.
KW - Approximation algorithms
KW - Fault-tolerant
KW - Relay node placement
KW - Sensor networks
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U2 - 10.1007/s10878-006-7140-y
DO - 10.1007/s10878-006-7140-y
M3 - 21_Publication in refereed journal
VL - 11
SP - 249
EP - 260
JO - Journal of Combinatorial Optimization
JF - Journal of Combinatorial Optimization
SN - 1382-6905
IS - 2
ER -