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Negative Cycle Separation in Wireless Network Design

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Network Optimization (INOC 2011)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 6701))

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Abstract

The Wireless Network Design Problem (WND) consists in choosing values of radio-electrical parameters of transmitters of a wireless network, to maximize network coverage. We present a pure 0-1 Linear Programming formulation for the WND that may contain an exponential number of constraints. Violated inequalities of this formulation are hard to separate both theoretically and in practice. However, a relevant subset of such inequalities can be separated more efficiently in practice and can be used to strengthen classical MILP formulations for the WND. Preliminary computational experience confirms the effectiveness of our new technique both in terms of quality of solutions found and provided bounds.

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References

  1. Andrews, J.G., Ghosh, A., Muhamed, R.: Fundamentals of WiMAX. Prentice Hall, Upper Saddle River (2007)

    Google Scholar 

  2. Amaldi, E., Kann, V.: The complexity and approximability of finding maximum feasible subsystems of linear relations. Theor. Comput. Sci. 147(1-2), 181–210 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  3. D’Andreagiovanni, F., Mannino, C.: An Optimization Model for WiMAX Network Planning. In: Zhang, Y. (ed.) WiMAX Network Planning and Optimization, pp. 369–386. Auerbach Publications, Boca Raton (2009)

    Google Scholar 

  4. D’Andreagiovanni, F.: Pure 0-1 Programming Approaches to Wireless Network Design. Ph.D. Thesis, Sapienza Università di Roma, Rome, Italy (2010)

    Google Scholar 

  5. D’Andreagiovanni, F., Mannino, C., Sassano, A.: GUB Covers and Power-Indexed Formulations for Wireless Network Design. Technical Report vol. 2(14), Department of Computer and System Sciences, Sapienza Università di Roma, Rome, Italy (2010)

    Google Scholar 

  6. D’Andreagiovanni, F., Mannino, C., Sassano, A.: Separating Negative Cycle Inequalities (2010) (in preparation)

    Google Scholar 

  7. Kennington, J., Olinick, E., Rajan, D.: Wireless Network Design: Optimization Models and Solution Procedures. Springer, Heidelberg (2010)

    MATH  Google Scholar 

  8. Mannino, C., Mattia, S., Sassano, A.: Wireless Network Design by Shortest Path. Comp. Opt. and Appl. (2009), doi: 10.1007/s10589-009-9264-3

    Google Scholar 

  9. Nehmauser, G., Wolsey, L.: Integer and Combinatorial Optimization. John Wiley & Sons, Hoboken (1988)

    Book  Google Scholar 

  10. Pfetsch, M.: The Maximum Feasible Subsystem Problem and Vertex-Facet Incidence of Polyhedra. Ph.D. Thesis, Technische Universität Berlin, Berlin, Germany (2002)

    Google Scholar 

  11. Rappaport, T.S.: Wireless Communications: Principles and Practice, 2nd edn. Prentice Hall, Upper Saddle River (2001)

    MATH  Google Scholar 

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© 2011 Springer-Verlag Berlin Heidelberg

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D’Andreagiovanni, F., Mannino, C., Sassano, A. (2011). Negative Cycle Separation in Wireless Network Design. In: Pahl, J., Reiners, T., Voß, S. (eds) Network Optimization. INOC 2011. Lecture Notes in Computer Science, vol 6701. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21527-8_7

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  • DOI: https://doi.org/10.1007/978-3-642-21527-8_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21526-1

  • Online ISBN: 978-3-642-21527-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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