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Characterizing achievable rates in multi-hop wireless networks: the joint routing and scheduling problem

Published:14 September 2003Publication History

ABSTRACT

This paper considers the problem of determining the achievable rates in multi-hop wireless networks. We consider the problem of jointly routing the flows and scheduling transmissions to achieve a given rate vector. We develop tight necessary and sufficient conditions for the achievability of the rate vector. We develop efficient and easy to implement Fully Polynomial Time Approximation Schemes for solving the routing problem. The scheduling problem is a solved as a graph edge-coloring problem. We show that this approach guarantees that the solution obtained is within 67% of the optimal solution in the worst case and, in practice, is typically within about 80% of the optimal solution. The approach that we use is quite flexible and is a promising method to handle more sophisticated interference conditions, multiple channels, multiple antennas, and routing with diversity requirements.

References

  1. Baker, D. J., Wieselthier, J. E., and Ephremides, A., "A Distributed Algorithm for Scheduling the Activation of Links in a Self-Organizing Mobile Radio Networks", IEEE Int. Conference Communications, 1982, pp. 2F6.1--2F6.5.Google ScholarGoogle Scholar
  2. Hajek, B., and Sasaki, G., "Link Scheduling in Polynomial Time", IEEE Transactions on Information Theory, 34(5), pp. 910--917, 1988.Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. Gupta, P., and Kumar, P. R., "The Capacity of Wireless Networks", IEEE Transactions on Information Theory, 46(2), pp. 388--404, 2000. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. Ahuja, R.K., Magnanti, T. L., Orlin, J.B., "Network Flows: Theory, Algorithms, and Applications", Prentice Hall, 1993. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. Grotschel, M., Lovasz, L., and Schrijver, A., "The Ellipsoid Method and its Consequences in Combinatorial Optimization", Combinatorica, 1(2), pp. 169--197, 1981.Google ScholarGoogle ScholarCross RefCross Ref
  6. Post, M. J, Kershenbaum, A. S. and Sarachik, P. E., "Scheduling Multi-hop CDMA Networks in the Presence of Secondary Conflicts", Algorithmica, 1989, pp. 365--393.Google ScholarGoogle ScholarCross RefCross Ref
  7. Wieselthier, J. E., Barnhart, C. M., and Ephremides, A., "A Neural Network Approach to Routing Without Interference in Multi-hop Networks", IEEE Transactions on Communications, 1994.Google ScholarGoogle ScholarCross RefCross Ref
  8. Jain, K., Padhye, J., Padmanabhan, V., and Qiu, L., "Impact on Interference on Multi-hop Wireless Network Performance", ACM Mobicom'03, September 2003. Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. Shahrokhi, F., and Matula, D., "The Maximum Concurrent Flow Problem", Journal of the ACM, 37, pp. 318--334, 1990. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. Garg, N., and Könemann, J., "Faster and Simpler Algorithms for Multi-commodity Flow and other Fractional Packing Problems", Proceedings of the 39th Annual Symposium on Foundations of Computer Science, pp.300--309, 1998. Google ScholarGoogle ScholarDigital LibraryDigital Library
  11. Karakostas, G., "Faster Approximation Schemes for Fractional Multi-commodity Flow Problems", 13th ACM/SIAM Symposium on Discrete Algorithms, pp. 166--173, 2002. Google ScholarGoogle ScholarDigital LibraryDigital Library
  12. Shannon, C. E., "A Theorem on Coloring the Lines of a Network", J. of Math. Physics, 28, pp. 148--151, 1949.Google ScholarGoogle ScholarCross RefCross Ref
  13. Nishizeki, T., and Kashiwagi, K., "On the 1.1 Edge-Coloring of Multi-graphs", SIAM Journal of Discrete Math., 3(3), pp. 391--410, 1990. Google ScholarGoogle ScholarDigital LibraryDigital Library
  14. Ramanathan, S., "A Unified Framework and Algorithm for (T/F/C)DMA Channel Assignment in Wireless Networks", IEEE Int. Conference on Communications, 1991, pp. 7d.2.1--7d.2.8Google ScholarGoogle Scholar
  15. Kodialam, M., and Nandagopal, T., "The Effect of Interference on the Capacity of Multi-hop Wireless Networks", Bell Labs Technical Report, Lucent Technologies, July 2003.Google ScholarGoogle Scholar
  16. Barrett, C., Istrate, G., Anil Kumar, V.S., Marathe, M., and Thite, S., "Approximation Algorithms for Distance-2 Edge Coloring", Unpublished Document, 2002.Google ScholarGoogle Scholar
  17. Suurballe, J. W., and Tarjan, R. E., "A Quick Method for Finding Shortest Pairs of Disjoint Paths", Networks, 14, pp. 325--336, 1984.Google ScholarGoogle ScholarCross RefCross Ref

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          cover image ACM Conferences
          MobiCom '03: Proceedings of the 9th annual international conference on Mobile computing and networking
          September 2003
          376 pages
          ISBN:1581137532
          DOI:10.1145/938985

          Copyright © 2003 ACM

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          Publication History

          • Published: 14 September 2003

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          MobiCom '03 Paper Acceptance Rate27of281submissions,10%Overall Acceptance Rate440of2,972submissions,15%

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