• Title/Summary/Keyword: Reformulation-Linearization Technique

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A New Mixed-Integer Programming Modeling for the Steiner Ring Star Problem (Steiner Ring Star 문제를 해결하기 위한 새로운 Mixed-Integer Programming Modeling)

  • Yuh, Junsang;Lee, Youngho;Park, Gigyoung
    • Journal of the Korean Operations Research and Management Science Society
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    • v.39 no.1
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    • pp.13-27
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    • 2014
  • In this paper, we deal with a Steiner Ring Star (SRS) problem arising from the design of survivable telecommunication networks. We develop two mixed integer programming formulations for the SRS problem by implementing Miller-Tucker-Zemlin (MTZ) and Sarin-Sherali-Bhootra (SSB) subtour elimination constraints, and then apply the reformulation-linearization technique (RLT) to enhance the lower bound obtained by the LP relaxation. By exploiting the ring-star structure of underlying network, we devise some valid inequalities that tighten the LP relaxation. Computational results demonstrate the effectiveness of the proposed solution procedure.