Distributed Algorithms for Energy-Efficient Even Self-Deployment in Mobile Sensor Networks

Even self-deployment is one of the best strategies to deploy mobile sensors when the region of interest is unknown and manual deployment is infeasible. A widely used distributed algorithm, Lloyd`s method, can achieve even self-deployment. It however suffers from two critical issues when being used in mobile sensor networks. First, it does not consider limited sensor communication range. Second, it does not optimize sensor movement distances, and hence can lead to excessive energy consumption, a primary concern in sensor networks. This paper first formulates a locational optimization problem that achieves even deployment while it takes account of energy consumption due to sensor movement, and then proposes two iterative algorithms. The first algorithm, named Lloyd- α, reduces the movement step sizes in Lloyd`s method. It saves traveling distance while maintaining the convergence property. However, it leads to a larger number of deployment steps. The second algorithm, named Distributed Energy-Efficient self-Deployment (DEED), reduces sensor traveling distances and requires a comparable number of deployment steps as that in Lloyd`s method. This paper further proposes an intuitive method to deal with limited sensor communication range that is applicable to all three methods. Extensive simulation using NS-2 demonstrates that DEED leads to up to 54 percent less traveling distance and 46 percent less energy consumption than Lloyd`s method.

[1]  Chenglei Yang,et al.  On centroidal voronoi tessellation—energy smoothness and fast computation , 2009, TOGS.

[2]  Thomas F. La Porta,et al.  Movement-assisted sensor deployment , 2004, IEEE INFOCOM 2004.

[3]  Jie Wang,et al.  Barrier Coverage of Line-Based Deployed Wireless Sensor Networks , 2009, IEEE INFOCOM 2009.

[4]  John E. Dennis,et al.  Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.

[5]  Charles L. Byrne,et al.  Applied Iterative Methods , 2007 .

[6]  Asuman E. Ozdaglar,et al.  A distributed newton method for network optimization , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[7]  Paul H. Siegel,et al.  Gaussian belief propagation solver for systems of linear equations , 2008, 2008 IEEE International Symposium on Information Theory.

[8]  Franziska Hoffmann,et al.  Spatial Tessellations Concepts And Applications Of Voronoi Diagrams , 2016 .

[9]  Yasir Saleem,et al.  Network Simulator NS-2 , 2015 .

[10]  R. Rockafellar Monotone Operators and the Proximal Point Algorithm , 1976 .

[11]  Allen Gersho,et al.  Asymptotically optimal block quantization , 1979, IEEE Trans. Inf. Theory.

[12]  S. P. Lloyd,et al.  Least squares quantization in PCM , 1982, IEEE Trans. Inf. Theory.

[13]  Gaurav S. Sukhatme,et al.  Robomote: a tiny mobile robot platform for large-scale ad-hoc sensor networks , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[14]  Theodore S. Rappaport,et al.  Wireless communications - principles and practice , 1996 .

[15]  Krishnendu Chakrabarty,et al.  Sensor deployment and target localization based on virtual forces , 2003, IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies (IEEE Cat. No.03CH37428).

[16]  Harish Sethu,et al.  A New Distributed Algorithm for Even Coverage and Improved Lifetime in a Sensor Network , 2009, IEEE INFOCOM 2009.

[17]  Kazuo Murota,et al.  A fast Voronoi-diagram algorithm with applications to geographical optimization problems , 1984 .

[18]  Elizabeth Eskow,et al.  A Revised Modified Cholesky Factorization Algorithm , 1999, SIAM J. Optim..

[19]  Qiang Du,et al.  Centroidal Voronoi Tessellations: Applications and Algorithms , 1999, SIAM Rev..

[20]  Boulat A. Bash,et al.  Exact Distributed Voronoi Cell Computation in Sensor Networks , 2007, 2007 6th International Symposium on Information Processing in Sensor Networks.

[21]  D K Smith,et al.  Numerical Optimization , 2001, J. Oper. Res. Soc..

[22]  Sonia Martínez,et al.  Coverage control for mobile sensing networks , 2002, IEEE Transactions on Robotics and Automation.

[23]  Atsuyuki Okabe,et al.  Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, Second Edition , 2000, Wiley Series in Probability and Mathematical Statistics.

[24]  Pramod K. Varshney,et al.  Energy-efficient deployment of Intelligent Mobile sensor networks , 2005, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.