Load-Balanced Clustering Algorithms for Wireless Sensor Networks

In this paper, we investigate the problem of grouping the sensor nodes into clusters to enhance the overall scalability of the network. A selected set of nodes, known as gateway nodes, will act as cluster-heads for each cluster and the objective is to balance the load among these gateways. Load balanced clustering increases system stability and improves the communication between the various nodes in the network. We call the problem addressed in this paper as the
load-balanced

clustering

problem
(LBCP). We first show that a special case of LBCP (whereby the traffic load contributed by all sensor nodes are the same) is optimally solvable in polynomial time. We next prove that the general case of LBCP is NP-hard. We then proposed an efficient 2/3-approximation algorithm for the problem.