+
+
+% use section* for acknowledgement
+\section*{Acknowledgment}
+
+
+
+
+\begin{thebibliography}{1}
+
+
+\bibitem{wns07}
+ J. Wang, C. Niu, and R. Shen,~\emph{Randomized approach for target coverage scheduling in directional sensor network},~ICESS2007,~pp. 379-390,~2007.
+
+
+
+\bibitem{dw60}
+ G.~B. Dantzig and P.~ Wolfe,~\emph {Decomposition principle for linear programs},~Operations Research,~pp. 101-111,~ 1960.
+
+
+\bibitem{asc02}
+ I.~ Akyildiz ,~ W.~ Su ,~ Y.~Sankarasubramniam and E. Cayirci,~ emph{A survey on sensor networks},~
+ IEEE Comm. Magazine,~pp. 102-114,~2002.
+
+
+\bibitem{pc10}
+ T.~V.~ Padmavathy and M. Chitra,~emph{Extending the Network Lifetime of Wireless Sensor Networks Using Residual Energy Extraction—Hybrid Scheduling Algorithm},~Int. J. of Communications, Network and System Sciences ,~ VOL.~3,No. ~1,pp.~98-106,~2010.
+
+
+\bibitem{Slijepcevic01powerefficient}
+ S.~ Slijepcevic and M.~ Potkonjak,~emph{Power Efficient Organization of Wireless Sensor Networks},~
+ IEEE International conference on Communications,~pp.~472--476,~2001.
+
+\bibitem{Cardei:2005:IWS:1160086.1160098}
+ M.~Cardei, and D.~ Du, ~emph {Improving wireless sensor network lifetime through power aware organization},~
+ Wireless Networks,~ vol.~11,~ issue~3,~pp.~333--340,~May~2005.
+
+
+
+\bibitem{Cardei05energy-efficienttarget}
+ M.~ Cardei ,~ M.~ T.~ Thai,~ Y.~ Li and W.~ Wu,~ emph{Energy-efficient target coverage in wireless sensor networks},IEEE Infocom,~pp.~1976--1984,~2005.
+
+
+\bibitem{b04}
+ P.~ Berman,~ G.~ Calinescu ,~ C.~ Shah and A.~ Zelikovsky,~emph{Power efficient monitoring management in sensor networks},~Wireless Communications and Networking Conference,~ WCNC. ~2004,~2004.
+
+\bibitem{Berman05efficientenergy}
+ P.~ Berman ,~ G.~ Calinescu ,~ C.~ Shah and A. Zelikovsky,~emph {Efficient energy management in sensor networks},~ Ad Hoc and Sensor Networks. Nova Science Publishers,~Nova Science Publisher,~2005.
+
+\bibitem{1240799}
+ J.~ Lu and T.~ Suda,~ emph{Coverage-aware self-scheduling in sensor networks},~ Proceedings. 2003 IEEE 18th Annual Workshop on Computer Communications CCW 2003,~pp.~117-123,~2003.
+
+
+\bibitem{Prasad:2007:DAL:1782174.1782218}
+ S.~K.~Prasad, and A.~Dhawan,~emph{Distributed algorithms for lifetime of wireless sensor networks based on dependencies among cover sets},~Proceedings of the 14th international conference on High performance computing ,~HiPC'07,pp.~381--392,~2007.
+
+
+
+\bibitem{Zorbas:2010:SCP:1715927.1715956}
+ D.~ Zorbas ,~ D. Glynos ,~ P.~ Kotzanikolaou and C.~ Douligeris,~emph {Solving coverage problems in wireless sensor networks using cover sets},~ Ad Hoc Netw.,~ vol.~8,issue~4,~pp.~400--415,June~ 2010.
+
+
+\bibitem{Garey:1990:CIG:574848}
+ M.~R.~ Garey and D.~S.~ Johnson,~ emph {Computers and Intractability; A Guide to the Theory of NP-Completeness},~ W. H. Freeman Co.,~1990.
+
+
+\bibitem{Caprara98algorithmsfor}
+ A.~ Caprara ,~ M.~ Fischetti and P.~ Toth ,~ emph{Algorithms for the Set Covering Problem},~ Annals of Operations Research,~ vol.~98,~1998.
+
+
+\bibitem{DBLP:journals/eor/AlfieriBBC07}
+ A.~Alfieri ,~ A.~ Bianco,~ P.~ Brandimarte and C. Chiasserini,~emph {Maximizing system lifetime in wireless sensor networks},~European Journal of Operational Research,~ vol.~181,~ No.~1,~pp.390-402,~2007.
+
+
+\bibitem{Gu:2009:QTC:1673018.1673025}
+ Y.~ Gu,~ Y.~Ji,~ J. ~Li and B.~ Zhao,~emph {QoS-aware target coverage in wireless sensor networks},~Wirel. Commun. Mob. Comput.,~ vol.~9,~issue~12,~pp.~1645--1659,December~ 2009.
+
+
+\bibitem{springerlink:10.1007/BF01594937}
+ Y.~ Ye,~emph{An O($n^3L$)) potential reduction algorithm for linear programming},~Mathematical Programming,~vol.~50,~issue~1,~ pp.~239-258,~ 1991.
+
+
+
+\bibitem{glpk}
+ A.~ Mahkorin,~emph {GNU Linear Programming Kit, Reference Manual},~2010.
+
+\bibitem{Garg98fasterand}
+ N.~ Garg and J.~ K\"{o}nemann,~emph {Faster and simpler algorithms for multicommodity flow and other fractional packing problems},~In Proceedings of the 39th Annual Symposium on Foundations of Computer Science,pp.~300--309,~ 1998.
+
+
+\bibitem{Kuhn55}
+ H.~ W.~ Kuhn,~emph{The Hungarian Method for the assignment problem},~Naval Research Logistics Quarterly,~vol.~2,~pp.~83--97,~1955.
+
+\bibitem{Cardei:2006:ECP:1646656.1646898}
+M.~Cardei and J.~ Wu,~emph {Energy-efficient coverage problems in wireless ad-hoc sensor networks},~Comput. Commun.,~ vol.~29,~ no.~4,~pp.~413--420,~February 2006.
+
+
+\bibitem{Manju2011}
+ M.~ Chaudhary and A.~ K. ~ Pujari,~emph{High-Energy-First (HEF) Heuristic for Energy-Efficient Target Coverage Problem},~International Journal of Ad hoc, Sensor and Uniquitous computing (IJASUC),~ vol.~2,
+ ~no. ~1,~ 2011.
+
+
+
+\bibitem{Abrams:2004:SKA:984622.984684}
+Z.~ Abrams,~ A. ~ Goel and S.~ Plotkin, ~ emph{Set k-cover algorithms for energy efficient monitoring in wireless sensor networks},~ Proceedings of the 3rd international symposium on Information processing in sensor networks,~pp.~ 424--432,~ 2004.
+
+
+
+\bibitem{Zorbas2007}
+D.~ Zorbas ,~ D.~ Glynos ,~ P.~ Kotzanikolaou and C.~ Douligeris,~emph {B\{GOP\}: an adaptive coverage algorithm for wireless sensor networks},~Proceedings of the 13th European Wireless Conference,~Paris,~ France,~2007.
+
+\bibitem{cardei02}
+ M.~ Cardei ,~D.~ MacCallum ,~M.~ X.~ Cheng ,~M.~ Min ,~X.~ Jia ,~D.~ Li and
+ D.~ Du,~emph {Wireless Sensor Networks with Energy Efficient Organization},~Journal of Interconnection Networks,~ vol.~3,~ no.~3-4,pp.~213-229,~2002.
+
+
+
+\bibitem{cardei05}
+ M.~ Cardei ,~ J.~ Wu, N.~ Lu and M.~O.~ Pervaiz,~emph{Maximum Network Lifetime with Adjustable Range},~WiMob,~2005.
+
+
+\bibitem{cardei05bis}
+ M.~ Cardei ,~ M.~ T.~ Thai ,~Y.~ Li and W.~ Wu,~emph {Energy-efficient target coverage in wireless sensor networks},~INFOCOM,~pp.~1976-1984,~2005.
+
+
+
+\bibitem{berman04}
+ P.~ Berman and G.~ Calinescu,~emph {Power Efficient Monitoring Management in Sensor Networks},~Proceedings of IEEE Wireless Communication and Networking Conference (WCNC'04),~pp.~2329--2334,~2004.
+
+
+\bibitem{garg98}
+ N.~ Garg and J.~ Koenemann,~emph {Faster and Simpler Algorithms for Multicommodity Flow and other Fractional Packing Problems.},~Proceedings of the 39th Annual Symposium on Foundations of Computer Science,~pp.~300--309,~1998.
+
+
+\bibitem{Gallais06}
+ A.~ Gallais,~ J.~ Carle ,~D. ~ Simplot-Ryl and I.~ Stojmenovic,~emph {Localized Sensor Area Coverage with Low Communication Overhead},~Proceedings of the Fourth Annual IEEE International Conference on Pervasive Computing and Communications,pp.~328--337,~2006.
+
+\bibitem{Tian02}
+ D. ~ Tian and N.~ D.~ Georganas, ~emph {A coverage-preserving node scheduling scheme for large wireless sensor networks},~Proceedings of the 1st ACM international workshop on Wireless sensor networks and applications,~pp.~ 32--41,~2002.
+
+
+\bibitem{Ye03}
+F. ~Ye,G.~ Zhong,~J.~ Cheng,~S.~ Lu and L. ~ Zhang,~emph {PEAS: A Robust Energy Conserving Protocol for Long-lived Sensor Networks},~ Proceedings of the 23rd International Conference on Distributed Computing Systems ICDCS'03,~pp.~ 28--37,~2003.
+
+
+
+\bibitem{Huang:2003:CPW:941350.941367}
+ C. ~ Huang and Y. ~ Tseng,~emph {The coverage problem in a wireless sensor network},~Proceedings of the 2nd ACM international conference on Wireless sensor networks and applications WSNA '03,~San Diego, CA, USA,~pp.~115-121,~ 2003.
+
+
+
+
+\bibitem{Zhang05}
+ H.~ Zhang and J.~ C.~ Hou,~emph {Maintaining Sensing Coverage and Connectivity in Large Sensor
+ Networks},~Ad Hoc {\&} Sensor Wireless Networks,~ vol.~1,no.~ 1-2,~2005.
+
+
+\bibitem{HeinzelmanCB02}
+ W.~ B.~ Heinzelman ,~ A.~ P.~ Chandrakasan and H.~ Balakrishnan,~emph {An application-specific protocol architecture for wireless microsensor networks},~IEEE Transactions on Wireless Communications,~ vol. ~1,~no. ~4,pp.~ 660-670,~2002.
+
+
+
+\bibitem{pedraza2006}
+ F. ~Pedraza,~A.~ L.~ Medaglia and A. ~ Garcia,~emph {Efficient coverage algorithms for wireless sensor networks},~Systems and Information Engineering Design Symposium,~ pp.~ 78 --83,~2006.
+
+
+\bibitem{chin2007}
+C.~ T. ~ Vu, ~ emph {An Energy-Efficient Distributed Algorithm for k-Coverage Problem in Wireless Sensor Networks},~GeorgiaState University,~2007.
+
+
+
+
+
+
+
+
+
+\end{thebibliography}
+
+
+
+
+
+
+% that's all folks