Abstract
In this paper we discuss minimum energy broadcast routing with directional antennas in ad hoc and sensor networks. We assume that the network consists of sensor nodes whose antennas are Switched beam directional antennas. The problem of our concern is: given a set V with n nodes and each node v i has l(i) transmission directions (i.e. the antenna sectors) and a broadcast request sourced at s, how to find a broadcast tree rooted at s and spanning all nodes in V such that the total energy is minimized. This problem involves with the choice of transmitting nodes and their transmission directions, which is NP-hard. We propose a |V|-approximation algorithm and one heuristic for the problem. Extensive simulations have demonstrated the efficiency of our algorithms.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Cartigny, J., Simplot-Ryl, D., Stojmenovic, I.: Localized Energy Efficient Broadcast for Wireless Networks with Directional Antennas. In: IFIPMED-HOC-NET Workshop (2002)
Charikar, M., Chekuri, C., Cheung, T.-Y., Dai, Z., Goel, A., Guha, S., Li, M.: Approximation Algorithms for Directed Steiner Problems. Journal of Algorithms 33(1), 73–91 (1999)
Chlamtac, I., Conti, M., Liu, J.N.: Mobile ad hoc networking: imperatives and challenges. Ad Hoc Networks 1, 13–64 (2003)
Dai, F., Wu, J.: Efficient Broadcasting in Ad Hoc Wireless Networks Using Directional Antennas. IEEE Transactions on Parallel and Distributed Systems 17(4), 1–13 (2006)
Guo, S., Yang, O.: Minimum-energy Multicast in Wireless Ad Hoc Networks with Adaptive Antennas: MILP Formulations and Heuristic Algorithms. IEEE Transactions on Mobile Computing 4(5), 333–346 (2006)
Li, D., Jia, X., Liu, H.: Energy Efficient Broadcast Routing in Static Ad Hoc Wireless Networks. IEEE Transactions on Mobile Computing 3(2), 144–151 (2004)
Li, D., Li, Z., Liu, L.: Energy Efficient Broadcast Routing in Ad Hoc Sensor Networks with Directional Antennas. In: Li, Y., Huynh, D.T., Das, S.K., Du, D.-Z. (eds.) WASA 2008. LNCS, vol. 5258. Springer, Heidelberg (2008)
Kang, I., Poovendran, R.: S-GPBE: A Power-Efficient Broadcast Routing Algorithm Using Sectored Antenna. In: Proc. of the Wireless and Optical Communications (2003)
Ramanathan, R.: On the Performance of Ad Hoc Networks with Beamforming Antennas. In: Proc. of the ACM MobiHoc, pp. 95–105 (2001)
Roy, S., Hu, Y.C., Peroulis, D., Li, X.-Y.: Minimum-Energy Broadcast Using Practical Directional Antennas in All-Wireless Network. In: Proc. of the IEEE INFOCOM, pp. 1–12 (2006)
Sarkar, T.K., Wicks, M.C., Salazar-Palma, M.: Smart Antennas. John Wiley and Sons, Hoboken (1996)
Tang, J., Xue, G., Zhang, W.: Power Efficient Broadcasting and Multicasting in Wireless Networks with Directional Antennas. In: Proc. of the IEEE ICC (2005)
Wieselthier, J.E., Nguyen, G.D.: On the Construction of Energy-Efficient Broadcast and Multicast Trees in Wireless Networks. In: Proc. of the IEEE INFOCOM, pp. 585–594 (2000)
Wieselthier, J.E., Nguyen, G.D., Ephremides, A.: Energy-Limited Wireless Networking with Directional Antennas: the Case of Session-Based Multicasting. In: Proc. of the IEEE INFOCOM, vol. 1, pp. 190–199 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Li, Z., Li, D. (2009). Minimum Energy Broadcast Routing in Ad Hoc and Sensor Networks with Directional Antennas. In: Du, DZ., Hu, X., Pardalos, P.M. (eds) Combinatorial Optimization and Applications. COCOA 2009. Lecture Notes in Computer Science, vol 5573. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02026-1_48
Download citation
DOI: https://doi.org/10.1007/978-3-642-02026-1_48
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02025-4
Online ISBN: 978-3-642-02026-1
eBook Packages: Computer ScienceComputer Science (R0)