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Lagrangian relaxation for the directional sensor coverage problem with continuous orientation

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  • Astorino, Annabella
  • Gaudioso, Manlio
  • Miglionico, Giovanna

Abstract

We present a mixed integer nonlinear programming formulation of the Directional Sensors Continuous Coverage Problem (DSCCP), where a given set of targets on a plane are to be covered by a set of sensors whose locations are known. Sensors are supposed to be directional, that is characterized by a discrete set of possible radii and aperture angles. The orientation (which is a continuous variable), the radius and the aperture angle of each sensor are to be decided, taking into account possibility of keeping one or more sensors switched off. The objective is to minimize cost coverage. We incorporate into the objective function penalty cost for possibly uncovered targets.

Suggested Citation

  • Astorino, Annabella & Gaudioso, Manlio & Miglionico, Giovanna, 2018. "Lagrangian relaxation for the directional sensor coverage problem with continuous orientation," Omega, Elsevier, vol. 75(C), pages 77-86.
    • Handle: RePEc:eee:jomega:v:75:y:2018:i:c:p:77-86
    DOI: 10.1016/j.omega.2017.03.001
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    References listed on IDEAS

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    1. Cerulli, R. & De Donato, R. & Raiconi, A., 2012. "Exact and heuristic methods to maximize network lifetime in wireless sensor networks with adjustable sensing ranges," European Journal of Operational Research, Elsevier, vol. 220(1), pages 58-66.
    2. Rossi, André & Singh, Alok & Sevaux, Marc, 2013. "Lifetime maximization in wireless directional sensor network," European Journal of Operational Research, Elsevier, vol. 231(1), pages 229-241.
    3. Manlio Gaudioso & Giovanni Giallombardo & Giovanna Miglionico, 2009. "On solving the Lagrangian dual of integer programs via an incremental approach," Computational Optimization and Applications, Springer, vol. 44(1), pages 117-138, October.
    4. Lopez Jr., Juan & Raines, Richard A. & Temple, Michael A. & Baldwin, Rusty O. & Stephens Sr., James P., 2007. "An investigation on the effects of emerging 4G transmissions on 3G networks," Omega, Elsevier, vol. 35(6), pages 706-714, December.
    5. Li, Xiangyong & Aneja, Y.P. & Huo, Jiazhen, 2012. "A robust branch-and-cut approach for the minimum-energy symmetric network connectivity problem," Omega, Elsevier, vol. 40(2), pages 210-217, April.
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    Cited by:

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