Skip to main content
Log in

A Radio Resource Management Framework for Multi-User Multi-Cell OFDMA Networks Based on Game Theory

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

This work proposes a radio resource management framework employing game theoretic concepts for orthogonal frequency division multiple access, the most prevalent multiple access technique for the next generation wireless networks. The subcarrier allocation problem is encountered as a combinatorial auction, where the base station auctions the subcarriers and the users bid for and buy bundles of subcarriers, aiming at minimising their required transmit power. Subsequently, each allocated subcarrier is loaded with a number of bits, decided by each user independently, and the power control process is set up as a non-cooperative game. Each user responds to the interference sensed in his environment and, through a best responses process, the game converges to the unique, Pareto optimal, Nash equilibrium. In order to guarantee convergence, a limit is imposed to the maximum modulation level for each subcarrier. Simulation results show that the auction algorithm follows closely the performance of the optimal algorithm, whereas it is of lower computational complexity and requires less feedback information. Similarly, the proposed distributed bit loading and power control scheme achieves lower transmit power per offered bit rate unit. However, the distributed nature of the algorithm results in lower total offered bit rate, because of the partial knowledge and exploitation of channel state information.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. IEEE. (2009). IEEE standard for local and metropolitan area networks part 16: Air interface for broadband wireless access systems. IEEE Std 802.16-2009 (Revision of IEEE Std 802.16-2004).

  2. 3GPP. (2009). Evolved universal terrestrial radio access (E-UTRA); long term evolution (LTE) physical layer; general description. Technical Report 3GPP TS 36.201 V9.0.0.

  3. Wong C. Y., Cheng R. S., Lataief K. B., Murch R. D. (1999) Multiuser OFDM with adaptive subcarrier, bit, and power allocation. IEEE Journal on Selected Areas in Communications 17(10): 1747–1758

    Article  Google Scholar 

  4. Kivanc D., Li G., Liu H. (2003) Computationally efficient bandwidth allocation and power control for OFDMA. IEEE Transactions on Wireless Communications 2(6): 1150–1158

    Article  Google Scholar 

  5. Kulkarni G., Adlakha S., Srivastava M. (2005) Subcarrier allocation and bit loading algorithms for OFDMA-based wireless networks. IEEE Transactions on Mobile Computing 4(6): 652–662

    Article  Google Scholar 

  6. Sadr S., Anpalagan A., Raahemifar K. (2009) Radio resource allocation algorithms for the downlink of multiuser OFDM communication systems. IEEE Communications Surveys & Tutorials 11(3): 92–106

    Article  Google Scholar 

  7. Altman E., Boulogne T., El-Azouzi R., Jimnez T., Wynter L. (2006) A survey on networking games in telecommunications. Computers & Operations Research 33(2): 286–311

    Article  MathSciNet  MATH  Google Scholar 

  8. Charilas D. E., Panagopoulos A. D. (2010) A survey on game theory applications in wireless networks. Computer Networks 54(18): 3421–3430

    Article  MATH  Google Scholar 

  9. Felegyhazi, M., & Hubaux J. P. (2006). Game theory in wireless networks: A tutorial. Technical report LCA-REPORT-2006-002, Ecole Polytechnique Federale de Lausanne.

  10. MacKenzie, A. B., & DaSilva, L. A. (2006). Game theory for wireless engineers (Synthesis lectures on communications). San Francisco Bay Area, CA: Morgan & Claypool Publishers.

  11. Yang K., Prasad N., Wang X. (2009) An auction approach to resource allocation in uplink OFDMA systems. IEEE Transactions on Signal Processing 57(11): 4482–4496

    Article  MathSciNet  Google Scholar 

  12. Rodriguez, V., & Mathar, R. (2010). Simple decentralised market-oriented allocation of sub-channels and power for access-point to terminal multi-carrier communication. In 44th Annual conference on information sciences and systems, 2010 (CISS 2010), pp. 1–5.

  13. Han, S. W., & Han, Y. (2007). A competitive fair subchannel allocation for OFDMA system using an auction algorithm. In IEEE 66th vehicular technology conference, 2007 (VTC 2007 Fall), pp. 1787–1791.

  14. Oh, J., Han, S. W., & Han, Y. (2008). Efficient and fair subchannel allocation based on auction algorithm. In IEEE 19th international symposium on personal, indoor and mobile radio communications, 2008 (PIMRC 2008), pp. 1–5.

  15. Gai, Y., Gong, P., Lv, J., & Wu, W. (2009). Auction-based radio resource allocation for OFDMA systems. In 5th international conference on wireless communications, networking and mobile computing, 2009 (WiCom 2009), pp. 1–4.

  16. Kong, Z., Kwok, Y.-K., & Wang, J. (2009). Auction-based scheduling in non-cooperative multiuser OFDM systems. In IEEE 69th vehicular technology conference, 2009 (VTC Spring 2009), pp. 1–4.

  17. Forde, T. K., & Doyle, L. E. (2008). A combinatorial clock auction for OFDMA-based cognitive wireless networks. In 3rd international symposium on wireless pervasive computing, 2008 (ISWPC 2008), pp. 329–333.

  18. Pang J.-S., Scutari G., Facchinei F., Wang C. (2008) Distributed power allocation with rate constraints in gaussian parallel interference channels. IEEE Transactions on Information Theory 54(8): 3471–3489

    Article  MathSciNet  Google Scholar 

  19. Jorswieck, E., & Mochaourab, R. (2009). Power control game in protected and shared bands: Manipulability of Nash equilibrium. In International conference on game theory for networks, 2009 (GameNets 2009), pp. 428–437.

  20. Su Y., van Der Schaar M. (2009) A new perspective on multi-user power control games in interference channels. IEEE Transactions on Wireless Communications 8(6): 2910–2919

    Article  Google Scholar 

  21. Su Y., van der Schaar M. (2009) Conjectural equilibrium in multiuser power control games. IEEE Transactions on Signal Processing 57(9): 3638–3650

    Article  MathSciNet  Google Scholar 

  22. Cioffi, J. M. (1991). A multicarrier primer. ANSI T1E1, 4.

  23. Fernekess A., Klein A., Wegmann B., Dietrich K. (2009) Modular system-level simulator concept for ofdma systems—[Modeling and simulation: A practical guide for network designers and developers]. IEEE Communications Magazine 47(3): 150–156

    Article  Google Scholar 

  24. Li G., Liu H. (2005) On the optimality of the OFDMA network. IEEE Communications Letters 9(5): 438–440

    Article  Google Scholar 

  25. Pietrzyk S. (2006) OFDMA for broadband wireless access. Artech House mobile communications series. Artech House, Boston, MA

    Google Scholar 

  26. Zander J. (1997) Radio resource management in future wireless networks: Requirements and limitations. IEEE Communications Magazine 35(8): 30–36

    Article  Google Scholar 

  27. Stiakogiannakis, I. N., Zarbouti, D. A., Tsoulos, G. V., & Kaklamani, D. I. (2008). Subcarrier allocation algorithms for multicellular OFDMA snetworks without channel state information. In 3rd International symposium on wireless pervasive computing, 2008 (ISWPC 2008), pp. 73–77.

  28. Zarbouti D., Stiakogiannakis I., Tsoulos G., Athanasiadou G., Kaklamani D. (2009) OFDMA techniques in multicellular networks with total frequency reuse. Computer Communications 32(3): 522–530

    Article  Google Scholar 

  29. Kuhn H. W. (1955) The Hungarian method for the assignment problem. Naval Research Logistics Quarterly 2: 83–97

    Article  MathSciNet  Google Scholar 

  30. Munkres J. (1957) Algorithms for the assignment and transportation problems. Journal of the Society for Industrial and Applied Mathematics 5(1): 32–38

    Article  MathSciNet  MATH  Google Scholar 

  31. Burden R., Faires J. D. (1997) Numerical analysis, 6th Edn. Brooks/Cole Pub. Co, Pacific Grove, CA

    Google Scholar 

  32. Lehmann D., O’Callaghan L. I., Shoham Y. (2002) Truth revelation in approximately efficient combinatorial auctions. Journal of the ACM 49(5): 577–602

    Article  MathSciNet  Google Scholar 

  33. Krishna V. (2002) Auction theory. Academic Press, London

    Google Scholar 

  34. Viswanath P., Tse D. N. C., Laroia R. (2002) Opportunistic beamforming using dumb antennas. IEEE Transactions on Information Theory 48(6): 1277–1294

    Article  MathSciNet  MATH  Google Scholar 

  35. Pietrzyk, S., & Janssen, G. J. M. (2004). Radio resource allocation for cellular networks based on OFDMA with QoS guarantees. In IEEE global telecommunications conference, 2004 (GLOBECOM 2004), Vol. 4, pp. 2694–2699.

  36. Stiakogiannakis, I. N., & Kaklamani, D. I. (2011). A combinatorial auction based subcarrier allocation algorithm for multiuser OFDMA. In IEEE 73rd vehicular technology conference, 2011 (VTC Spring 2011), pp. 1–5.

  37. Fudenberg D., Tirole J. (1991) Game theory. MIT Press, Cambridge, MA

    Google Scholar 

  38. Osborne M. J. (2004) An introduction to game theory. Oxford University Press, New York

    Google Scholar 

  39. WiMAX Forum. (2008). WiMAX system evaluation methodology. Technical Report Version 2.1.

  40. European Cooperation in Science and Technology. (1999). Digital mobile radio towards future generation systems. COST 231 Final Report.

  41. ITU. (2006). Guidelines for evaluation of radio transmission technologies for IMT-2000. Technical Report Rec. ITU-R M.1225.

  42. Chapin J. M., Lehr W. H. (2007) Cognitive radios for dynamic spectrum access—the path to market success for dynamic spectrum access technology. IEEE Communications Magazine 45(5): 96–103

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ioannis N. Stiakogiannakis.

Additional information

Financial support by National Technical University of Athens under the program PEVE 2009, grand no 65177200, is gratefully acknowledged.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Stiakogiannakis, I.N., Kaklamani, D.I. A Radio Resource Management Framework for Multi-User Multi-Cell OFDMA Networks Based on Game Theory. Wireless Pers Commun 69, 745–770 (2013). https://doi.org/10.1007/s11277-012-0610-x

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-012-0610-x

Keywords

Navigation