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A node rooted flow-based model for the local access network expansion problem

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  • Corte-Real, Margarida
  • Gouveia, Luís

Abstract

In this paper, we present a new formulation for the local access network expansion problem. Previously, we have shown that this problem can be seen as an extension of the well-known Capacitated Minimum Spanning Tree Problem and have presented and tested two flow-based models. By including additional information on the definition of the variables, we propose a new flow-based model that permits us to use effectively variable eliminations tests as well as coefficient reduction on some of the constraints. We present computational results for instances with up to 500 nodes in order to show the advantages of the new model in comparison with the others.

Suggested Citation

  • Corte-Real, Margarida & Gouveia, Luís, 2010. "A node rooted flow-based model for the local access network expansion problem," European Journal of Operational Research, Elsevier, vol. 204(1), pages 20-34, July.
  • Handle: RePEc:eee:ejores:v:204:y:2010:i:1:p:20-34
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    References listed on IDEAS

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    1. Gouveia, Luis & Lopes, Maria Joao, 2000. "Valid inequalities for non-unit demand capacitated spanning tree problems with flow costs," European Journal of Operational Research, Elsevier, vol. 121(2), pages 394-411, March.
    2. Gendreau, Michel & Potvin, Jean-Yves & Smires, Ali & Soriano, Patrick, 2006. "Multi-period capacity expansion for a local access telecommunications network," European Journal of Operational Research, Elsevier, vol. 172(3), pages 1051-1066, August.
    3. Flippo, Olaf E. & Kolen, Antoon W. J. & Koster, Arie M. C. A. & van de Leensel, Robert L. M. J., 2000. "A dynamic programming algorithm for the local access telecommunication network expansion problem," European Journal of Operational Research, Elsevier, vol. 127(1), pages 189-202, November.
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