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Evolutionary Algorithms for Real-World Instances of the Automatic Frequency Planning Problem in GSM Networks

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Evolutionary Computation in Combinatorial Optimization (EvoCOP 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4446))

Abstract

Frequency assignment is a well-known problem in Operations Research for which different mathematical models exist depending on the application specific conditions. However, most of these models are far from considering actual technologies currently deployed in GSM networks (e.g. frequency hopping). These technologies allow the network capacity to be actually increased to some extent by avoiding the interferences provoked by channel reuse due to the limited available radio spectrum, thus improving the Quality of Service (QoS) for subscribers and an income for the operators as well. Therefore, the automatic generation of frequency plans in real GSM networks is of great importance for present GSM operators. This is known as the Automatic Frequency Planning (AFP) problem. In this paper, we focus on solving this problem for a realistic-sized, real-world GSM network by using Evolutionary Algorithms (EAs). To be precise, we have developed a (1,λ) EA for which very specialized operators have been proposed and analyzed. Results show that this algorithmic approach is able to compute accurate frequency plans for real-world instances.

This work has been partially funded by the Ministry of Science and Technology and FEDER under contract TIN2005-08818-C04-01 (the OPLINK project).

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References

  1. Mouly, M., Paulet, M.B.: The GSM System for Mobile Communications. Mouly et Paulet, Palaiseau (1992)

    Google Scholar 

  2. Rapeli, J.: UMTS: Targets, system concept, and standardization in a global framework. IEEE Personal Communications 2, 30–37 (1995)

    Article  Google Scholar 

  3. Granbohm, H., Wiklund, J.: GPRS – general packet radio service. Ericsson Review (1999)

    Google Scholar 

  4. Furuskar, A., Naslund, J., Olofsson, H.: EDGE – enhanced data rates for GSM and TDMA/136 evolution. Ericsson Review (1999)

    Google Scholar 

  5. Aardal, K.I., van Hoesen, S.P.M., Koster, A.M.C.A., Mannino, C., Sassano, A.: Models and solution techniques for frequency assignment problems. 4OR 1, 261–317 (2003)

    MATH  MathSciNet  Google Scholar 

  6. FAP Web: (http://fap.zib.de/)

    Google Scholar 

  7. Kotrotsos, S., Kotsakis, G., Demestichas, P., Tzifa, E., Demesticha, V., Anagnostou, M.: Formulation and computationally efficient algorithms for an interference-oriented version of the frequency assignment problem. Wireless Personal Communications 18, 289–317 (2001)

    Article  Google Scholar 

  8. Eisenblätter, A.: Frequency Assignment in GSM Networks: Models, Heuristics, and Lower Bounds. PhD thesis, Technische Universität Berlin (2001)

    Google Scholar 

  9. Hale, W.K.: Frequency assignment: Theory and applications. Proceedings of the IEEE 68, 1497–1514 (1980)

    Article  Google Scholar 

  10. Blum, C., Roli, A.: Metaheuristics in Combinatorial Optimization: Overview and Conceptual Comparison. ACM Computing Surveys 35, 268–308 (2003)

    Article  Google Scholar 

  11. Glover, F.W., Kochenberger, G.A.: Handbook of Metaheuristics. Kluwer, Dordrecht (2003)

    MATH  Google Scholar 

  12. Bäck, T.: Evolutionary Algorithms: Theory and Practice. Oxford University Press, New York (1996)

    MATH  Google Scholar 

  13. Dorne, R., Hao, J.K.: An evolutionary approach for frequency assignment in cellular radio networks. In: Proc. of the IEEE Int. Conf. on Evolutionary Computation. pp. 539–544 (1995)

    Google Scholar 

  14. Smith, D.H., Allen, S.M., Hurley, S.: Characteristics of good meta-heuristics algorithms for the frequency assignment problem. Annals of Operations Research 107, 285–301 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  15. Schwefel, H.P.: Numerical Optimization of Computer Models. Wiley, Chichester, UK (1981)

    MATH  Google Scholar 

  16. Mishra, A.R.: Radio Network Planning and Optimisation. In: Fundamentals of Cellular Network Planning and Optimisation: 2G/2.5G/3G ... Evolution to 4G, pp. 21–54. Wiley, Chichester (2004)

    Google Scholar 

  17. Kampstra, P., van der Mei, R.D., Eiben, A.E.: Evolutionary computing in telecommunication network design: A survey. In Revision (2006)

    Google Scholar 

  18. Vidyarthi, G., Ngom, A., Stojmenović, I.: A hybrid channel assignment approach using an efficient evolutionary strategy in wireless mobile networks. IEEE Transactions on Vehicular Technology 54, 1887–1895 (2005)

    Article  Google Scholar 

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Carlos Cotta Jano van Hemert

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Luna, F., Alba, E., Nebro, A.J., Pedraza, S. (2007). Evolutionary Algorithms for Real-World Instances of the Automatic Frequency Planning Problem in GSM Networks. In: Cotta, C., van Hemert, J. (eds) Evolutionary Computation in Combinatorial Optimization. EvoCOP 2007. Lecture Notes in Computer Science, vol 4446. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71615-0_10

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  • DOI: https://doi.org/10.1007/978-3-540-71615-0_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71614-3

  • Online ISBN: 978-3-540-71615-0

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