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A fast heuristic method for minimizing traffic congestion on reconfigurable ring topologies

Author

Listed:
  • Y Shim

    (University of Maryland, College Park)

  • S A Gabriel

    (University of Maryland, College Park)

  • A Desai

    (University of Maryland, College Park)

  • P Sahakij

    (University of Maryland, College Park)

  • S Milner

    (University of Maryland, College Park)

Abstract

We describe the development of fast heuristics and methodologies for congestion minimization problems in directional wireless networks, and we compare their performance with optimal solutions. The focus is on the network layer topology control problem (NLTCP) defined by selecting an optimal ring topology as well as the flows on it. Solutions to NLTCP need to be computed in near realtime due to changing weather and other transient conditions and which generally preclude traditional optimization strategies. Using a mixed-integer linear programming formulation, we present both new constraints for this problem and fast heuristics to solve it. The new constraints are used to increase the lower bound from the linear programming relaxation and hence speed up the solution of the optimization problem by branch and bound. The upper and lower bounds for the optimal objective function to the mixed integer problem then serve to evaluate new node-swapping heuristics which we also present. Through a series of tests on different sized networks with different traffic demands, we show that our new heuristics achieve within about 0.5% of the optimal value within seconds.

Suggested Citation

  • Y Shim & S A Gabriel & A Desai & P Sahakij & S Milner, 2008. "A fast heuristic method for minimizing traffic congestion on reconfigurable ring topologies," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(4), pages 521-539, April.
    • Handle: RePEc:pal:jorsoc:v:59:y:2008:i:4:d:10.1057_palgrave.jors.2602360
    DOI: 10.1057/palgrave.jors.2602360
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    References listed on IDEAS

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    1. Gutierrez, Genaro J. & Kouvelis, Panagiotis & Kurawarwala, Abbas A., 1996. "A robustness approach to uncapacitated network design problems," European Journal of Operational Research, Elsevier, vol. 94(2), pages 362-376, October.
    2. Stan Van Hoesel, 2005. "Optimization in telecommunication networks," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(2), pages 180-205, May.
    3. Young-Soo Myung & Hu-Gon Kim & Dong-Wan Tcha, 1997. "Optimal Load Balancing on Sonet Bidirectional Rings," Operations Research, INFORMS, vol. 45(1), pages 148-152, February.
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