Computational Optimization and Applications

, Volume 50, Issue 3, pp 483–506 | Cite as

Genetic Tabu search for robust fixed channel assignment under dynamic traffic data

  • Hakim Mabed
  • Alexandre Caminada
  • Jin-Kao Hao


The contribution of this work is twofold. Firstly, we introduce a new channel assignment model for GSM radio networks. In this model both spatial and temporal variations of traffic are taken into account in order to improve network capacity and robustness. Secondly, using this model, we develop an original and effective hybrid algorithm to get high quality frequency plans. This algorithm combines a problem specific crossover and a Tabu search procedure. The proposed model and hybrid algorithm are evaluated using both artificial and real data. Computational results allow us to confirm the effectiveness of the proposed approach.


Hybrid genetic algorithms Robust channel assignment Traffic modeling Real world OR application 


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  1. 1.
    Aardal, K.I., van Hoesel, C.P.M., Koster, A.M.C.A., Mannino, C., Sassano, A.: Models and solution techniques for the frequency assignment problem. J. 4OR 1(4), 261–317 (2003) zbMATHGoogle Scholar
  2. 2.
    Brélaz, D.: New methods to color vertices of graph. Commun. ACM 22, 251–256 (1979) zbMATHCrossRefGoogle Scholar
  3. 3.
    Chan, T.H., Palaniswani, M., Everitt, D.: Neural network-based dynamic channel assignment for cellular mobile communication systems. IEEE Trans. Veh. Technol. 43(2), 279–288 (1994) CrossRefGoogle Scholar
  4. 4.
    Chang, K.-N., Kim, S.: Call blocking performance of new dynamic channel assignment scheme in cellular radio networks. In: Proc. of IEEE VTC, pp. 198–202 (1996) Google Scholar
  5. 5.
    Chen, L., Yoshida, S., Murata, H.: A dynamic channel assignment algorithm for voice and data integrated TDMA mobile radio. In: Proc. of IEEE VTC, pp. 213–217 (1996) Google Scholar
  6. 6.
    Colombo, G.: A genetic algorithm for frequency assignment with problem decomposition. Int. J. Mob. Netw. Des. Innov. 1(2), 102–112 (2006) CrossRefGoogle Scholar
  7. 7.
    Crescenzi, P., Gambosi, G., Penna, P.: On-line algorithms for the channel assignment problem in cellular networks. Discrete Appl. Math. 137, 237–266 (2004) MathSciNetzbMATHCrossRefGoogle Scholar
  8. 8.
    Eisenblatter, A., Grotschel, M., Koster, A.: Frequency planning and ramifications of coloring. ZIB-Report 00-47, December (2000) Google Scholar
  9. 9.
    Fischetti, M., Lepschy, C., Minerva, G., Romanin-Jacur, G., Toto, E.: Frequency assignment in mobile radio systems using branch-and-cut techniques. Eur. J. Oper. Res. 123, 241–255 (2000) MathSciNetzbMATHCrossRefGoogle Scholar
  10. 10.
    Fleurent, C., Ferland, J.A.: Genetic and hybrid algorithms for graph coloring. In: Laporte, G., Osman, I.H., Hammer, P.L. (eds.) Annals of Operations Research. Metaheuristics in Combinatorial Optimization, vol. 63 (1996) Google Scholar
  11. 11.
    Galinier, P., Hao, J.-K.: Hybrid evolutionary algorithms for graph coloring. J. Comb. Optim. 3(4), 379–397 (1999) MathSciNetzbMATHCrossRefGoogle Scholar
  12. 12.
    Gamst, A.: A resource allocation technique for FDMA systems. Alfa Freq. 57(2), 89–96 (1988) Google Scholar
  13. 13.
    Ghosh, S.C., Sinha, B.P., Das, N.: Channel assignment using genetic algorithm based on geometric symmetry. IEEE Trans. Veh. Technol. 52, 860–875 (2003) CrossRefGoogle Scholar
  14. 14.
    Glover, F., Laguna, M.: Tabu Search. Kluwer Academic, Boston (1997) zbMATHCrossRefGoogle Scholar
  15. 15.
    Goldberg, D.E.: Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley, Reading (1989) zbMATHGoogle Scholar
  16. 16.
    Hale, W.K.: Frequency assignment: theory and application. Proc. IEEE 68(12), 1498–1514 (1980) CrossRefGoogle Scholar
  17. 17.
    Hao, J.K., Dorne, R., Galinier, P.: Tabu search for frequency assignment in mobile radio networks. J. Heuristics 4(1), 47–62 (1998) zbMATHCrossRefGoogle Scholar
  18. 18.
    Hellebrabdt, M., Lambrecht, F., Mathar, R., Niessen, T., Starke, R.: Frequency allocation and linear programming. In: Proc. of IEEE VTC, vol. 48, pp. 617–621 (1999) Google Scholar
  19. 19.
    Horng, J.-T., Jin, M.-H., Kao, C.-Y.: Solving fixed channel assignment problems by an evolutionary approach. In: Proc. of GECCO-2001, pp. 351–358 (2001) Google Scholar
  20. 20.
    Hurley, S., Whitaker, R.M., Smith, D.H.: Channel assignment in cellular networks without channel separation constraints. In: Proc. IEEE VTC, vol. 50, pp. 1714–1718 (2000) Google Scholar
  21. 21.
    IBM Corp. User Guide IBM Prospect 8.0. IBM, Raleigh (2009) Google Scholar
  22. 22.
    Jaimes-Romero, F.J., Muñoz-Rodrìguez, D.: Channel assignment in cellular systems using genetic algorithms. In: Proc. IEEE VTC, pp. 741–745 (1996) Google Scholar
  23. 23.
    Katzela, I., Naghshineh, M.: Channel assignment schemes for cellular mobile telecommunication systems: a comprehensive survey. IEEE Pers. Commun. (June), 10–31 (1996) Google Scholar
  24. 24.
    Lee, W.: Mobile Communications Design Fundamentals. Wiley Series in Telecommunications. Wiley, New York (1992) Google Scholar
  25. 25.
    Lee, Y., Kang, H.G.: Cell planning with capacity expansion in mobile communications: a Tabu Search Approach. IEEE Trans. Veh. Technol. 49(5), 1678–1691 (2000) CrossRefGoogle Scholar
  26. 26.
    Lee, Z.J., Lee, C.Y.: A hybrid search algorithm with heuristics for resource allocation problem. Inf. Sci. 173, 155–167 (2005) CrossRefGoogle Scholar
  27. 27.
    Leese, R., Hurley, S. (eds.): Methods and Algorithms for Radio Channel Assignment. Oxford Lecture Series in Mathematics and its Applications. Oxford University Press, Oxford (2002) zbMATHGoogle Scholar
  28. 28.
    Luna, F., Alba, E., Nebro, A.J., Pedraza, S.: Evolutionary algorithms for real-world instances of the automatic frequency planning problem in GSM networks. In: Seventh European Conference on Evolutionary Computation in Combinatorial Optimization (EVOCOP 2007). Lecture Notes in Computer Science, vol. 4446, pp. 108–120. Springer, Berlin (2007) Google Scholar
  29. 29.
    Mac Donald, V.: Advanced Mobile Phone Service: The Cellular Concept. BELL Syst. Tech. J. (January), 15–41 (1979) Google Scholar
  30. 30.
    Mandal, S., Saha, D., Mahanti, A.: A real-time heuristic search technique for fixed channel allocation (FCA) in mobile cellular communications. Microprocess. Microsyst. 28, 411–416 (2004) CrossRefGoogle Scholar
  31. 31.
    Matsui, S., Watanabe, I., Tokoro, K.: In: A Parameter-free Genetic Algorithm for a Fixed Channel Assignment Problem with Limited Bandwidth. LNCS, vol. 2439, pp. 789–799. Springer, Berlin (2002) Google Scholar
  32. 32.
    Merz, P., Freisleben, B.: Fitness landscape analysis and memetic algorithms for the quadratic assignment problem. IEEE Trans. Evol. Comput. 4(4), 337–352 (2000) CrossRefGoogle Scholar
  33. 33.
    Murray, K., Pesch, D.: Adaptive radio resource management for GSM/GPRS networks. In: First Joint IEI/IEE Symposium on Telecommunications Systems Research, 27 Nov. (2001) Google Scholar
  34. 34.
    Renaud, D., Caminada, A.: Evolutionary methods and operators for frequency assignment problem. SpeedUp J. 11(2), 27–32 (1997) Google Scholar
  35. 35.
    San José-Revuelta, L.M.: An heuristic search technique for fixed frequency assignment in non-homogeneous demand systems. Signal Process. 88(6), 1461–1476 (2008) CrossRefGoogle Scholar
  36. 36.
    Sastry, K., Goldberg, D.E.: Modeling tournament selection with replacement using apparent added noise. In: Proc. of the Genetic and Evolutionary Computation Conference (2001) Google Scholar
  37. 37.
    Taillard, A., Glover, F., De Werra, D.: A User’s Guide to Tabu Search. Ann. Oper. Res. 41, 3–28 (1993) zbMATHGoogle Scholar
  38. 38.
    Tajima, J., Imamura, K.: A strategy for flexible channel assignment in mobile communication systems. IEEE Trans. Veh. Technol. 37(2), 92–103 (1988) CrossRefGoogle Scholar
  39. 39.
    Vasquez, M., Hao, J.-K.: A heuristic approach for antenna positioning in cellular networks. J. Heuristics 7(5), 443–472 (2001) zbMATHCrossRefGoogle Scholar
  40. 40.
    Wille, V., Multimaki, H., Irons, S.: A practical approach to channel borrowing for microcells in GSM systems. In: Proc. IEEE VTC, pp. 144–148 (1998) Google Scholar
  41. 41.
    Zander, J.: Radio resource management in future wireless networks: requirements and limitations. IEEE Commun. Mag. 30–36 (1997) Google Scholar

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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.UFCLaboratoire LIFCMontbéliardFrance
  2. 2.UTBMLaboratoire SETBelfort cedexFrance
  3. 3.LERIAUniversité d’AngersAngers cedex 01France

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