
This Article  
 
Share  
Bibliographic References  
Add to:  
Digg Furl Spurl Blink Simpy Del.icio.us Y!MyWeb  
Search  
 
ASCII Text  x  
Xiuzhen Cheng, Bhagirath Narahari, Rahul Simha, Maggie Xiaoyan Cheng, Dan Liu, "Strong Minimum Energy Topology in Wireless Sensor Networks: NPCompleteness and Heuristics," IEEE Transactions on Mobile Computing, vol. 2, no. 3, pp. 248256, JulySeptember, 2003.  
BibTex  x  
@article{ 10.1109/TMC.2003.1233530, author = {Xiuzhen Cheng and Bhagirath Narahari and Rahul Simha and Maggie Xiaoyan Cheng and Dan Liu}, title = {Strong Minimum Energy Topology in Wireless Sensor Networks: NPCompleteness and Heuristics}, journal ={IEEE Transactions on Mobile Computing}, volume = {2}, number = {3}, issn = {15361233}, year = {2003}, pages = {248256}, doi = {http://doi.ieeecomputersociety.org/10.1109/TMC.2003.1233530}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  JOUR JO  IEEE Transactions on Mobile Computing TI  Strong Minimum Energy Topology in Wireless Sensor Networks: NPCompleteness and Heuristics IS  3 SN  15361233 SP248 EP256 EPD  248256 A1  Xiuzhen Cheng, A1  Bhagirath Narahari, A1  Rahul Simha, A1  Maggie Xiaoyan Cheng, A1  Dan Liu, PY  2003 KW  Minimum energy topology KW  power control KW  wireless sensor networks KW  NPCompleteness KW  incremental power heuristic. VL  2 JA  IEEE Transactions on Mobile Computing ER   
Abstract—Wireless sensor networks have recently attracted lots of research effort due to its wide range of applications. These networks must operate for months or years. However, the sensors are powered by battery, which may not be possible to be recharged after they are deployed. Thus, energyaware network management is extremely important. In this paper, we study the following problem: Given a set of sensors in the plane, assign transmit power to each sensor such that the induced topology containing only bidirectional links is strongly connected. This problem is significant in both theory and application. We prove its NPCompleteness and propose two heuristics: power assignment based on
[1] NS2 page,http://www.isi.edu/nsnamns/, 2003.
[2] GloMoSim page,http://pcl.cs.ucla.edu/projectsglomosim/, 2003.
[3] G. Asada et al., Wireless Integrated Network Sensors: Low Power Systems on a Chip Proc. European SolidState Circuits Conf. (ESSCIRC), 1998.
[4] S.A. Borbash and E.H. Jennings, Distributed Topology Control Algorithm for Multihop Wireless Networks Proc. 2002 Int'l Joint Conf. Neural Networks, IJCNN, vol. 1, pp. 355360, 2002.
[5] M. Cagalj, J.P. Hubaux, and C. Enz, MinimumEnergy Broadcast in AllWireless Networks: NPCompleteness and Distributed Issues Proc. MobiCom 2002, pp. 172182, 2002.
[6] W.T. Chen and N.F. Huang, The Strongly Connecting Problem on Multihop Packet Radio Networks IEEE Trans. Comm., vol. 37, no. 3, Mar. 1989.
[7] X. Cheng, H.D. Du, X. Jia, and G. Xue, Virtual BackboneBased Routing in Multihop Ad Hoc Wireless Networks submitted for publication, 2003.
[8] X. Cheng, D.Z. Du, L. Wang, and B. Xu, Relay Sensor Placement in Wireless Sensor Networks submitted for publication, 2003.
[9] A.E.F. Clementi, P. Penna, and R. Silvestri, “Hardness Results for the Power Range Assignment Problem in Packet Radio Networks,” Proc. Second Int'l Workshop Approximation Algorithms for Combinatorial Optimization Problems (RANDOM/APPROX '99), pp. 197208, 1999.
[10] T.H. Cormen, C.E. Leiserson, and R.L. Rivest, Introduction to Algorithms, chapter 37, pp. 978983. The MIT Press, McGrawHill Book Company, 1992.
[11] F.O. Eynde et al., A FullyIntegrated SingleChip SOC for Bluetooth Proc. IEEE International SolidState Circuits Conf. (ISSCC '01), pp. 196197, vol. 446, 2001.
[12] M.R. Garey and D.S. Johnson, The Rectilinear Steiner Tree Problem is NPComplete SIAM J. Applied Math., vol. 32, pp. 826834, 1977.
[13] L. Hu, Topology Control for Multihop Packet Radio Networks IEEE Trans. Comm., vol 41, no. 10, pp. 14741481, 1993.
[14] D.B. Johnson and D.A. Maltz, Dynamic Source Routing in Ad Hoc Wireless Networks Mobile Computing, pp. 153181, T. Imielinski and H. Korth, ed., Kluwer Academic, 1996.
[15] E.S. Jung and N.H. Vaidya, An Energy Efficient MAC Protocol for Wireless LANs Proc. INFOCOM '02, vol. 3, pp. 17561764, 2002.
[16] L. Li, J.H. Halpern, P. Bahl, Y. Wang, and R. Wattenhofer, “Analysis of a ConeBased Distributed Topology Control Algorithm for Wireless MultiHop Networks,” Proc. ACM ACM Symp. Principles of Distributed Computing (PODC '01), 2001.
[17] E.L. Lloyd, R. Liu, M.V. Marathe, R. Ramanathan, and S.S. Ravi, Algorithmic Aspects of Topology Control Problems for Ad Hoc Networks Proc. MobiCom '02, pp. 123134, 2002.
[18] N. Lynch, Distributed Algorithms. New Jersey, Morgan Kaufman, 1996.
[19] R. Min, M. Bhardwaj, S.H. Cho, N. Ickes, E. Shih, A. Sinha, A. Wang, and A. Chandrakasan, EnergyCentric Enabling Technologies for Wireless Sensor Networks IEEE Wireless Comm., vol. 9, no. 4, pp. 2839, 2002.
[20] C. Perkins and E. Royer, Ad Hoc on Demand Distance Vector (AODV) Routing Proc. Second IEEE Workshop Mobile Computing Systems and Applications, pp. 90100, Feb. 1999.
[21] G. Pottie and W. Kaiser, "Wireless Integrated Network Sensors," Comm. ACM, vol. 43, no. 5, May 2000, pp. 5158.
[22] R. Prakash, Unidirectional Links Prove Costly in Wireless Ad Hoc Networks Proc. Workshop Discrete Algorithms and Methods for Mobile Computing and Comm. (DIALM '99), pp. 1522, 1999.
[23] V. Raghunathan, C. Schurgers, S. Park, and M. Srivastava, “EnergyAware Wireless Sensor Networks,” IEEE Signal Processing, vol. 19, no. 2, pp. 4050, Mar. 2002.
[24] R. Ramanathan and R. RosalesHain, Topology Control of Multihop Wireless Networks Using Transmit Power Adjustment Proc. 19th Ann. Joint Conf. IEEE Computer and Comm. Soc. (INFOCOM), pp. 404413, Mar. 2000.
[25] V. Ramasubramanian, R. Chandra, and R. Mosse, Providing a Bidirectional Abstraction for Unidirectional Ad Hoc Networks Proc. INFOCOM '02, vol. 3, pp. 12581267, 2002.
[26] T.S. Rappaport, Wireless Communications: Principles&Practice. Prentice Hall, 1996.
[27] V. Rodoplu and T.H. Meng, “Minimum Energy Mobile Wireless Networks,” IEEE J. Selected Areas in Comm., vol. 17, no. 8, pp. 13331344, Aug. 1999.
[28] P. Santi, D.M. Blough, and F. Vainstein, “A Probabilistic Analysis for the Range Assignment Problem in Ad Hoc Networks,” Proc. ACM MobiHoc '01, pp. 212220, 2001.
[29] P.J. Wan, G. Calinescu, X. Li, and O. Frieder, “MinimumEnergy Broadcast Routing in Static Ad Hoc Wireless Networks,” Proc. IEEE INFOCOM 2001, 2001.
[30] R. Wattenhofer, L. Li, P. Bahl, and Y.M. Wang, Distributed Topology Control for Power Efficient Operation in Multihop Wireless Ad Hoc Networks Proc. Infocom 2001, Apr. 2001.
[31] W. Ye, J. Heidemann, and D. Estrin, An EnergyEfficient MAC Protocol for Wireless Sensor Networks Proc. INFOCOM '02, vol. 3, pp. 15671576, 2002.