Grid Coverage for Surveillance and Target Location in Distributed Sensor Networks

We present novel grid coverage strategies for effective surveillance and target location in distributed sensor networks. We represent the sensor field as a grid (two or three-dimensional) of points (coordinates) and use the term target location to refer to the problem of locating a target at a grid point at any instant in time. We first present an integer linear programming (ILP) solution for minimizing the cost of sensors for complete coverage of the sensor field. We solve the ILP model using a representative public-domain solver and present a divide-and-conquer approach for solving large problem instances. We then use the framework of identifying codes to determine sensor placement for unique target location, We provide coding-theoretic bounds on the number of sensors and present methods for determining their placement in the sensor field. We also show that grid-based sensor placement for single targets provides asymptotically complete (unambiguous) location of multiple targets in the grid.

[1]  P. Stähly Model building in mathematical programming: Second Edition, Wiley, Chichester, 1985, xv + 349 pages , 1987 .

[2]  S. Sitharama Iyengar,et al.  Advances in Distributed Sensor Integration; Application and Theory , 1995 .

[3]  Eiji Fujiwara,et al.  Error-control coding for computer systems , 1989 .

[4]  Nageswara S. V. Rao,et al.  Computational Complexity Issues in Operative Diagnosis of Graph-Based Systems , 1993, IEEE Trans. Computers.

[5]  S. Sitharama Iyengar,et al.  On terrain acquisition by a point robot amidst polyhedral obstacles , 1988, IEEE J. Robotics Autom..

[6]  Jerry D. Cavin Advances in distributed sensor technology , 1996, IEEE Parallel & Distributed Technology: Systems & Applications.

[7]  Myung M. Bae,et al.  Resource Placement in Torus-Based Networks , 1997, IEEE Trans. Computers.

[8]  Gérard D. Cohen,et al.  Linear Codes with Covering Radius and Codimension , 2001 .

[9]  Nageswara,et al.  On Terrain Model Acquisition by a Point Robot Amidst Polyhedral Obstacles , 1981 .

[10]  Satish Kumar,et al.  Next century challenges: scalable coordination in sensor networks , 1999, MobiCom.

[11]  Richard C. Larson,et al.  Model Building in Mathematical Programming , 1979 .

[12]  John D. C. Little,et al.  On model building , 1993 .

[13]  Mark G. Karpovsky,et al.  On a New Class of Codes for Identifying Vertices in Graphs , 1998, IEEE Trans. Inf. Theory.

[14]  S. Iyengar,et al.  Multi-Sensor Fusion: Fundamentals and Applications With Software , 1997 .

[15]  J. O'Rourke Art gallery theorems and algorithms , 1987 .

[16]  Randy H. Katz,et al.  Next century challenges: mobile networking for “Smart Dust” , 1999, MobiCom.