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Deterministic Online Call Control in Cellular Networks and Triangle-Free Cellular Networks

  • Joseph Wun-Tat Chan
  • Francis Y. L. Chin
  • Xin Han
  • Ka-Cheong Lam
  • Hing-Fung Ting
  • Yong Zhang
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6213)

Abstract

Wireless Communication Networks based on Frequency Division Multiplexing (FDM in short) plays an important role in the field of communications, in which each request can be satisfied by assigning a frequency. To avoid interference, each assigned frequency must be different to the neighboring assigned frequencies. Since frequency is a scarce resource, the main problem in wireless networks is how to utilize the frequency as fully as possible. In this paper, we consider the call control problem. Given a fixed bandwidth of frequencies and a sequence of communication requests, in handling each request, we must immediately choose an available frequency to accept (or reject) it. The objective of call control problem is to maximize the number of accepted requests. We study the asymptotic performance, i.e., the number of requests in the sequence and the number of available frequencies are very large positive integers. In this paper, we give a 7/3-competitive algorithm for call control problem in cellular network, improving the previous 2.5-competitive result. Moreover, we investigate the triangle-free cellular network, propose a 9/4-competitive algorithm and prove that the lower bound of competitive ratio is at least 5/3.

Keywords

Neighboring Cell Cellular Network Competitive Ratio Online Algorithm Channel Assignment 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Caragiannis, I., Kaklamanis, C., Papaioannou, E.: Efficient on-line frequency allocation and call control in cellular networks. Theory Comput. Syst. 35(5), 521–543 (2000); A preliminary version of the paper is in SPAA 2000 (2000)MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Caragiannis, I., Kaklamanis, C., Papaioannou, E.: Competitive Algorithms and Lower Bounds for On-Line Randomized Call Control in Cellular Networks. Networks 52(4), 235–251 (2008); Preliminary versions are in WAOA 2003 and EUROPAR 2005MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Chan, W.-T., Chin, F.Y.L., Ye, D., Zhang, Y.: Online Frequency Allocation in Cellular Networks. In: Proc. of the 19th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA 2007), pp. 241–249 (2007)Google Scholar
  4. 4.
    Havet, F.: Channel assignment and multicoloring of the induced subgraphs of the triangular lattice. Discrete Math. 233, 219–231 (2001)MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    MacDonald, V.H.: Advanced mobile phone service: The cellular concept. Bell Systems Technical Journal 58(1), 15–41 (1979)CrossRefGoogle Scholar
  6. 6.
    McDiarmid, C., Reed, B.: Channel assignment and weighted coloring. Networks 36(2), 114–117 (2000)MathSciNetCrossRefzbMATHGoogle Scholar
  7. 7.
    Narayanan, L., Shende, S.: Static frequency assignment in cellular networks. Algorithmica 29(3), 396–409 (2001)MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8.
    Pantziou, G.E., Pentaris, G.P., Spirakis, P.G.: Competitive Call Control in Mobile Networks. Theory of Computing Systems 35(6), 625–639 (2002)MathSciNetCrossRefzbMATHGoogle Scholar
  9. 9.
    Šparl, P., Žerovnik, J.: 2-local 5/4-competitive algorithm for multicoloring triangle-free hexagonal graphs. Inf. Process. Lett. 90, 239–246 (2004)MathSciNetCrossRefzbMATHGoogle Scholar
  10. 10.
    Ye, D., Han, X., Zhang, G.: Deterministic On-line Call Control in Cellular Networks (manuscript)Google Scholar
  11. 11.
    Zhang, Y., Chin, F.Y.L., Zhu, H.: A 1-Local Asymptotic 13/9-Competitive Algorithm for Multicoloring Hexagonal Graphs. Algorithmica 54, 557–567 (2009)MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Joseph Wun-Tat Chan
    • 1
  • Francis Y. L. Chin
    • 2
  • Xin Han
    • 3
  • Ka-Cheong Lam
    • 2
    • 4
  • Hing-Fung Ting
    • 2
  • Yong Zhang
    • 2
  1. 1.College of International EducationHong Kong Baptist UniversityHong Kong
  2. 2.Department of Computer ScienceThe University of Hong KongHong Kong
  3. 3.School of SoftwareDalian University of TechnologyChina
  4. 4.College of Computer ScienceZhejiang UniversityChina

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