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Frequencies Assignment in Cellular Networks

Maximum Stable Approach

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Intelligent Information and Database Systems (ACIIDS 2015)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9011))

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Abstract

With the limited number of communication frequencies and the increasing number of users, the problem of communication frequencies assignment without interference is more than ever at the heart of the development of cellular networks. This paper reports a heuristic assignment based on the scheduling of the cells and the scheduling of the maximum stables of the dependency graph of the cells network. The purpose of the maximum stables scheduling is to assign without interference a maximum number of frequencies to cells while the purpose of the cells scheduling is to minimize the number of the used frequencies. Therefore aim of the heuristic is to satisfy a maximum number of connection requests with a minimum number of frequencies. The heuristic is implemented and its performance evaluated for the well known network test Philadelphia-benchmark.

Co-author Ye Xu was in LITA from April to September 2014 for her Master 2 Thesis in Computer Science at the University of Lorraine.

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References

  1. Chakraborty, G.: An Efficient Heuristic Algorithm for Channel Assignment Problem in Cellular Radio Networks. IEEE Trans. Veh. Technol. 50 (2001)

    Google Scholar 

  2. Aardal, K.I., et al.: Models and Solution Techniques for Frequency Assignment Problems. ZIB-Report 01–40 (2001)

    Google Scholar 

  3. Yu, F., Bar-Noy, A., Basu, P., Ramanathan, R.: Algorithms for channel assignment in mobile wireless networks using temporal coloring. In: Proceedings of the 16th ACM International Conference on Modeling, Analysis & Simulation of Wireless and Mobile Systems, pp. 49–58 (2013)

    Google Scholar 

  4. Martín, H.J.A.: Solving Hard Computational Problems Efficiently: Asymptotic Parametric Complexity 3-Coloring Algorithm. PLoS ONE 8(1), e53437 (2013). doi:10.1371/journal.pone.0053437

    Article  Google Scholar 

  5. Gavril, F.: Algorithms for Minimum Coloring, Maximum Clique, Minimum Covering by Cliques, and Maximum Independent Set of a Chordal Graph. doi:10.1137/0201013

  6. Clark, B.N., Colbourn, C.J., Johnson, D.S.: Unit Disk Graphs. Ann. Discret. Math. 48, 165–177 (1991)

    Article  Google Scholar 

  7. Hurley, S., Smith, D.H., Thiel, S.U.: FAsoft: A system for discrete channel frequency assignment. Radio Science 32(5), 1921–1939 (1998)

    Article  Google Scholar 

  8. Balasundaram, B., Butenko, S.: Graph domination, coloring and cliques in telecommunications. In: Handbook of Optimization in Telecommunication (2006)

    Google Scholar 

  9. Alzoubi, K.M., Wan, P.-J., Frieder, O.: Weakly-connected dominating sets and sparse spanners in wireless ad hoc networks. In: Proceedings of ICDCS, pp. 96–104 (2003)

    Google Scholar 

  10. Luna, F., et al.: Optimization algorithms for large-scale real-world instances of the frequency assignment problem. Soft. Comput. 15, 975–990 (2011)

    Article  Google Scholar 

  11. Björklund, P., Värbrand, P., Yuan, D.: Optimized planning of frequency hopping in cellular networks. J. Computers and Operations Research 32(1), 169–186 (2005)

    Article  MATH  Google Scholar 

  12. Zhang, Y.-B., Zhao, Y.-C., Xiong, H.: A tabu search algorithm for frequency assignment problem in wireless communication networks. In: Proceedings of Wicom 2009, pp. 2848–2851 (2009)

    Google Scholar 

  13. Parsapoor, M., Bilstrup, U.: Ant colony optimization for channel assignment problem in a clustered mobile ad hoc network. In: Tan, Y., Shi, Y., Mo, H. (eds.) ICSI 2013, Part I. LNCS, vol. 7928, pp. 314–322. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  14. Alba, E.: Parallel Metaheuristics: A New Class of Algorithms. John Wiley & Sons, Inc. (2005)

    Google Scholar 

  15. Vidyarthi, G., Ngom, A., Stojmenovic, I.: A hybrid channel assignment approach using an efficient evolutionary strategy in wireless mobile networks. IEEE Trans. Veh. Technol. 54, 1887–1895 (2005)

    Article  Google Scholar 

  16. Colombo, G.: A genetic algorithm for frequency assignment with problem decomposition. J. of Mobile Network Design and Innovative Archive 1(2), 102–112 (2006)

    Article  Google Scholar 

  17. Luna, F., Nebro, A.J., Alba, E.: Durillo, J-J.: Large-Scale Real-World Telecommunication Problems Using a Grid-Based Genetic Algorithm. Engineering Optimization 40(11), 1067–1084 (2008)

    Article  Google Scholar 

  18. Ngo, C.Y., Li, V.O.K.: Fixed channel assignment in cellular radio networks using a modified genetic algorithm. IEEE Trans. Veh. Technol. 47, 163–172 (1998)

    Article  Google Scholar 

  19. Maximiano, M.-D., Vega-Rodriguez, M.A., Gomez Pilido, J.A., Sánchez-Pérez, J.M.: A hybrid differential evolution algorithm to solve a real-world frequency assignment problem. In: Proc. of International Multiconference on Computer Science and Information Technology, Wisia, pp. 201–205 (2008)

    Google Scholar 

  20. Elhachmi, J., Guenoun, Z.: Distributed Frequency Assignment Using Hierarchical Cooperative Multi-Agent System. Int. J. Communications, Network and System Sciences 4, 727–734 (2011)

    Article  Google Scholar 

  21. Funabiki, N., Okutani, N., Nis, S.: A Three-stage Heuristic Combined Neural Network Algorithm for Channel Assignment in Cellular Mobile Systems. IEEE Trans. Veh. Technol. 9(2), 397–403 (2000)

    Article  Google Scholar 

  22. Nemhauser, G., Wolsey, L.: Integer and Combinatorial Optimization. J. Wiley & Sons, Inc. (2014)

    Google Scholar 

  23. Aardal, K., van Hoesel, S.P.M., Koster, A.M.C.A., Mannino, C., Sassano, A.: Models and solution techniques for frequency assignment problems. Quarterly Journal of the Belgian, French and Italian Operations Research Societies 1(4), 261–317 (2003)

    MATH  MathSciNet  Google Scholar 

  24. Das, A.K., et al.: Optimization models for fixed channel assignment in wireless mesh networks with multiple radios. In: Proceedings of IEE SECON, pp. 463–474 (2005)

    Google Scholar 

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Correspondence to Ibrahima Sakho .

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Xu, Y., Sakho, I. (2015). Frequencies Assignment in Cellular Networks. In: Nguyen, N., Trawiński, B., Kosala, R. (eds) Intelligent Information and Database Systems. ACIIDS 2015. Lecture Notes in Computer Science(), vol 9011. Springer, Cham. https://doi.org/10.1007/978-3-319-15702-3_21

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  • DOI: https://doi.org/10.1007/978-3-319-15702-3_21

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  • Online ISBN: 978-3-319-15702-3

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