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Solving a continuous local access network design problem with a stabilized central column generation approach

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  • Trampont, M.
  • Destré, C.
  • Faye, A.

Abstract

In this paper, we focus on a variant of the multi-source Weber problem. In the multi-source Weber problem, the location of a fixed number of concentrators, and the allocation of terminals to them, must be chosen to minimize the total cost of links between terminals and concentrators. In our variant, we have a third hierarchical level, two categories of link costs, and the number of concentrators is unknown. To solve this difficult problem, we propose several heuristics, and use a new stabilized column generation approach, based on a central cutting plane method, to provide lower bounds.

Suggested Citation

  • Trampont, M. & Destré, C. & Faye, A., 2011. "Solving a continuous local access network design problem with a stabilized central column generation approach," European Journal of Operational Research, Elsevier, vol. 214(3), pages 546-558, November.
    • Handle: RePEc:eee:ejores:v:214:y:2011:i:3:p:546-558
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    References listed on IDEAS

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    1. Zvi Drezner & Avram Mehrez & George O. Wesolowsky, 1991. "The Facility Location Problem with Limited Distances," Transportation Science, INFORMS, vol. 25(3), pages 183-187, August.
    2. J Brimberg & N Mladenovic & S Salhi, 2004. "The multi-source Weber problem with constant opening cost," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(6), pages 640-646, June.
    3. François Baccelli & Sergei Zuyev, 1999. "Poisson-Voronoi Spanning Trees with Applications to the Optimization of Communication Networks," Operations Research, INFORMS, vol. 47(4), pages 619-631, August.
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