Minimum-Energy Multicasting

234. Weifa Liang, Richard P. Brent, Yinlong Xu and Qingshan Wang, Minimum-energy all-to-all multicasting in wireless ad hoc networks, IEEE Transactions on Wireless Communications 8, 11 (2009), 5490-5499.

Preprint: pdf (200K).


A wireless ad hoc network consists of mobile nodes that are powered by batteries. The limited battery lifetime imposes a severe constraint on the network performance; energy conservation in such a network is of paramount importance, and energy efficient operations are critical to prolong the lieftime of the network. All-to-all multicasting is one fundamental operation in wireless ad hoc networks; in this paper we focus on the design of energy-efficient routing algorithms for this operation. Specifically, we consider the following minimum-energy all-to-all multicasting problem.

Given an all-to-all multicast session consisting of a set of terminal nodes in a wireless ad hoc network, where the transmission power of each node is either fixed or adjustable, and assuming that each terminal node has a message to share with each other node, the problem is to build a shared multicast tree spanning all terminal nodes, such that the total energy comsumption of realizing the all-to-all multicast session by the tree is minimized. We first show that this problem is NP-complete. We then devise approximation algorithms with guaranteed approximation ratios. We also provide a distributed implementation of the proposed algorithm. The experimental results demonstrate that the proposed algorithm significantly outperforms all the other known algorithms.

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