Journal of the Korean Operations Research and Management Science Society (한국경영과학회지)

The Korean Operations Research and Management Science Society (한국경영과학회)
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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 (Division of Industrial Management Engineering, Korea University) ;
  • Lee, Youngho (Division of Industrial Management Engineering, Korea University) ;
  • Park, Gigyoung (Division of Industrial Management Engineering, Korea University)
  • 유준상 (고려대학교 산업경영공학부) ;
  • 이영호 (고려대학교 산업경영공학부) ;
  • 박기경 (고려대학교 산업경영공학부)
  • Received : 2013.09.06
  • Accepted : 2013.10.31
  • Published : 2014.03.31
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Abstract

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.

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References

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