Optimal Placement of Stereo Sensors

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Authors:

Mohammad Al Hasan
Department of Computer Science
Rensselaer Polytechnic Institute
Troy, NY 12180 USA
alhasan at cs.rpi.edu

Krishna K. Ramachandran
Department of Electrical, Computer and Systems Engineering
Rensselaer Polytechnic Institute
Troy, NY 12180 USA
ramak at rpi.edu

J. E. Mitchell
Department of Mathematical Sciences
Rensselaer Polytechnic Institute
Troy, NY 12180 USA
mitchj at rpi.edu

Citation details:

Optimization Letters, Volume 2, Number 1, pages 99-111, January 2008.

Abstract:

Autonomous wireless devices such as sensor nodes and stereo cameras, due to their low cost of operation coupled with the potential for remote deployment, have found a plethora of applications ranging from monitoring air, soil and water to seismic detection and military surveillance. Typically, such a network spans a region of interest with the individual nodes cooperating to detect events and disseminate information. Given a deployment of sensors and targets over a region, a sensor pairing is desired for each target that optimizes the coverage under certain constraints. This problem can be modeled as an integer programming problem and solved using branch-and-cut. For larger problems, it is necessary to limit the number of variables, and a GRASP routine was developed for this purpose. Valid cutting planes are developed and computational results presented.

Keywords:

ensors, integer programming, branch-and-cut, GRASP

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