Stochastic k-Coverage in Wireless Sensor Networks

  • Authors:
  • Habib M. Ammari

  • Affiliations:
  • Wireless Sensor and Mobile Ad-hoc Networks (WiSeMAN) Research Lab Department of Computer Science, Hofstra University, Hempstead ,NY, USA 11549

  • Venue:
  • WASA '09 Proceedings of the 4th International Conference on Wireless Algorithms, Systems, and Applications
  • Year:
  • 2009

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Abstract

Sensor scheduling is a critical issue in the design of wireless sensor networks (WSNs) with a goal to achieve certain coverage degree of a field. In this paper, we focus on the sensor scheduling problem to guarantee sensing k-coverage , where each point in a field is covered by at least k sensors, while maintaining network connectivity . Precisely, we propose a global framework that considers both deterministic and stochastic sensing models of the sensors. For each of these sensing models, we decompose the sensor scheduling problem for k -coverage in WSNs into two sub-problems: k -coverage characterization problem and k-coverage-preserving scheduling problem . Our solution to the first problem is based on Helly's Theorem and the analysis of a geometric structure, called Reuleaux triangle . To solve the second problem, we propose a distributed approach that enables each sensor to run a k-coverage candidacy algorithm to check whether it is eligible to turn itself on . We find a perfect match between our simulation and analytical results.