Telecommunication Systems

, Volume 61, Issue 2, pp 325–335 | Cite as

Optimizing link rate assignment and transmission scheduling in WMN through compatible set generation

  • Yuan LiEmail author
  • Michał Pióro
  • Di Yuan
  • Jinshu Su


Radio links in wireless mesh networks (WMN) can select one of several modulation and coding schemes (MCS). A MCS assignment influences links data rates and their mutual interference, and therefore should be optimized. We consider joint optimization of link rate assignment and transmission scheduling in order to maximize the minimal flow in a WMN. One of the main difficulties stems from the requirement that each link has to use only one selected MCS for all its transmissions. This requirement leads to a complicated exact branch-and-price method, which is quite time-consuming for networks of practical size. Thus, we propose an original heuristic based on simulated annealing that utilizes specific characteristics of the problem. The method provides a balance between sub-optimality of the obtained solutions and the running time. The presented method is the main purpose and novelty of the paper. An extensive numerical study illustrates the effectiveness of the proposed approach.


Static link rate assignment Branch-and-price Simulated annealing 



This work was supported by the EC Marie Curie Actions project MESH-WISE (FP7-PEOPLE-2012-IAPP-324515) and Excellence Center at Linköping-Lund in Information Technology (ELLIIT). The research of Michał Pióro and Yuan Li was also supported by National Science Centre (Poland) under grant 2011/01/B/ST7/02967 and by Chinese Scholarship Council, respectively. The research of Di Yuan has been supported by European FP7 Marie Curie IOF grant 329313.


  1. 1.
    Akyildiz, I., & Wang, X. (2005). A survey in wireless mesh networks. IEEE Communications Magazine, 43(9), 23–30.CrossRefGoogle Scholar
  2. 2.
    Pathak, P. H., & Dutta, R. (2011). A survey of network design problems and joint design approaches in wireless mesh networks. IEEE Communications Surveys Tutorials, 13(3), 396–428.CrossRefGoogle Scholar
  3. 3.
    Ashraf, U., Abdellatif, S., & Juanole, G. (2011). Route selection in IEEE 802.11 wireless mesh networks. Telecommunication Systems, 1–19.Google Scholar
  4. 4.
    Vergados, D., Sgora, A., Vergados, D., Vouyioukas, D., & Anagnostopoulos, I. (2012). Fair TDMA scheduling in wireless multihop networks. Telecommunication Systems, 50, 181–198.CrossRefGoogle Scholar
  5. 5.
    Capone, A., Carello, G., Filippini, I., Gualandi, S., & Malucelli, F. (2010). Routing, scheduling and channel assignment in wireless mesh networks: Optimization models and algorithms. Ad Hoc Networks, 8(6), 545–563.CrossRefGoogle Scholar
  6. 6.
    Pióro, M., Zotkiewicz, M., Staehle, B., Staehle, D., & Yuan, D. (2011). On Max-Min Fair Flow Optimization in Wireless Mesh Networks. Ad Hoc Networks,. doi: 10.1016/j.adhoc.2011.05.003.Google Scholar
  7. 7.
    Grace, K., Stine, J., & Durst, R. (2005). An approach for modestly directional communications in mobile ad hoc networks. Telecommunication Systems, 28, 281–296.CrossRefGoogle Scholar
  8. 8.
    Zotkiewicz, M., & Pioro, M. (2013). Exact approach to reliability of wireless mesh networks with directional antennas. Telecommunication Systems,. doi: 10.1007/s11235-013-9829-4.Google Scholar
  9. 9.
    Desaulniers, G., Desrosiers, J., & Solomon, M. (2005). Column Generation. : Springer-Verlag.Google Scholar
  10. 10.
    Lasdon, L. S. (1970). Optimization Theory for Large Systems. London: Macmillan.Google Scholar
  11. 11.
    Montemanni, R., & Leggieri, V. (2010). A branch and price algorithm for the minimum power multicasting problem in wireless sensor networks. Mathematical Methods of Operations Research, 74(3), 327–342.CrossRefGoogle Scholar
  12. 12.
    Gupta, P., & Kumar, P. (2000). The capacity of wireless networks. IEEE Transactions on Information Theory, 46(2), 388–404.CrossRefGoogle Scholar
  13. 13.
    Behzad, A., & Rubin, I. (2003). On the performance of graph-based scheduling algorithms for packet radio networks. In Proceeding of IEEE GLOBECOM. San Francisco, USA.Google Scholar
  14. 14.
    Huang, X., & Bensaou, B. (2001). On max-min fairness and scheduling in wireless ad-hoc networks: Analytical framework and implementation. In Proceeding of ACM MobiHoc. Long Beach, CA, USA.Google Scholar
  15. 15.
    Leith, D. J., Cao, Q., & Subramanian, V. G. (2012). Max-min fairness in 802.11 mesh networks. IEEE Transaction on Networking, 20(3), 756–769.CrossRefGoogle Scholar
  16. 16.
    Ahmed, I., Mohammed, A., & Alnuweiri, H. (2013). On the fairness of resource allocation in wireless mesh networks: a survey. Wireless Networks, 19(6), 1451–1468.CrossRefGoogle Scholar
  17. 17.
    Staehle, B., Staehle, D., & Pries, R. (2009). Effects of link rate assignment on the max-min fair throughput of wireless mesh networks. In Proceeding of 21st International Teletraffic Congress, Paris, France.Google Scholar
  18. 18.
    Cai, D. W. H., Tan, C. W., & Low, S. H. (2012). Optimal max-min fairness rate control in wireless networks: Perron-Frobenius characterization and algorithms. In IEEE INFOCOM. Orlando, FL, USA.Google Scholar
  19. 19.
    Lin, X., & Shroff, N. B. (2004). Joint rate control and scheduling in multihop wireless networks. InProceeding of IEEE Conference on Decision and Control, Atlantis, Paradise Island, Bahamas.Google Scholar
  20. 20.
    Avallone, S., DElia, F., & Ventre, G. (2012). A new channel, power and rate assignment algorithm for multi-radio wireless mesh networks. Telecommunication Systems, 51, 73–80.CrossRefGoogle Scholar
  21. 21.
    Passos, D., & Albuquerque, C. V. N. (2012). A Joint Approach to Routing Metrics and Rate Adaptation in Wireless Mesh Networks. IEEE/ACM Transaction on Networking, 20(4), 999–1009.CrossRefGoogle Scholar
  22. 22.
    Ancillotti, E., Bruno, R., & Conti, M. (2008). Experimentation and performance evaluation of rate adaptation algorithms in wireless mesh networks. In Proceedings of the 5th ACM symposium on Performance evaluation of wireless ad hoc, sensor, and ubiquitous networks. New York, USA.Google Scholar
  23. 23.
    Xia, D. & Fu, Q. (2011). An experimental study on performance comparison of rate adaptation and fxed rate in ieee 802.11g. In Australasian Telecommunication Networks and Applications Conference. Melbourne, Australia.Google Scholar
  24. 24.
    Pioro, M., & Medhi, D. (2004). Routing, flow, and capacity design in communication and computer networks. : Morgan Kaufman.Google Scholar
  25. 25.
    Perrin, G., Descombes, X., & Zerubia, J. (2005). Energy minimization methods in computer vision and pattern recognition. Berlin Heidelberg: Springer.Google Scholar
  26. 26.
    Goldsmith, A. (2005). Wireless Communication. : Cambridge University Press.Google Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Department of Electrical and Information TechnologyLund UniversityLundSweden
  2. 2.Institute of TelecommunicationsWarsaw University of TechnologyWarsawPoland
  3. 3.Department of Science and TechnologyLinköping UniversityLinköpingSweden
  4. 4.Institute for Systems ResearchUniversity of MarylandCollege ParkUSA
  5. 5.School of ComputerNational University of Defense TechnologyChangshaChina

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