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Branch-and-price algorithm for a multicast routing problem

Author

Listed:
  • C S Sung

    (Korea Advanced Institute of Science and Technology)

  • J M Hong

    (Korea Advanced Institute of Science and Technology)

Abstract

This paper considers a multicast routing problem to find the minimum cost tree where the whole communication link delay on each path(route) of the tree is subject to a given delay allowance. The problem is formulated as an integer programming problem by using path variables. An associated problem reduction property is then characterised to reduce the solution space. Moreover, a polynomial time column generation procedure is exploited to solve the associated linear programming relaxation with such solution space reduced. Therefore a branch-and-price algorithm is derived to obtain the optimal integer solution(tree) for the problem. Computational results show that the algorithm can solve practical size problems in a reasonable length of time.

Suggested Citation

  • C S Sung & J M Hong, 1999. "Branch-and-price algorithm for a multicast routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(11), pages 1168-1175, November.
    • Handle: RePEc:pal:jorsoc:v:50:y:1999:i:11:d:10.1057_palgrave.jors.2600820
    DOI: 10.1057/palgrave.jors.2600820
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    Citations

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    Cited by:

    1. Kang, Jangha & Park, Kyungchul & Park, Sungsoo, 2009. "Optimal multicast route packing," European Journal of Operational Research, Elsevier, vol. 196(1), pages 351-359, July.
    2. C S Sung & H C Rim, 2004. "Receiver set partitioning and sequencing for multicasting traffic in a WDM lightwave single-hop network," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(6), pages 630-639, June.
    3. J W Hearne, 2007. "A market-driven approach to the optimal stocking problem on African game ranches," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(4), pages 423-428, April.
    4. C S Sung & S H Song, 2003. "Branch-and-price algorithm for a combined problem of virtual path establishment and traffic packet routing in a layered communication network," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(1), pages 72-82, January.

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