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Semi-Lagrangian relaxation applied to the uncapacitated facility location problem

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  • C. Beltran-Royo & J.-P. Vial & A. Alonso-Ayuso, 2012. "Semi-Lagrangian relaxation applied to the uncapacitated facility location problem," Computational Optimization and Applications, Springer, vol. 51(1), pages 387-409, January.
    • Handle: RePEc:spr:coopap:v:51:y:2012:i:1:p:387-409
    DOI: 10.1007/s10589-010-9338-2
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    1. Resende, Mauricio G.C. & Werneck, Renato F., 2006. "A hybrid multistart heuristic for the uncapacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 174(1), pages 54-68, October.
    2. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(5), pages 777-788, October.
    3. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(1), pages 151-160, February.
    4. Guignard, Monique, 1988. "A Lagrangean dual ascent algorithm for simple plant location problems," European Journal of Operational Research, Elsevier, vol. 35(2), pages 193-200, May.
    5. Ghosh, Diptesh, 2003. "Neighborhood search heuristics for the uncapacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 150(1), pages 150-162, October.
    6. Mladenovic, N. & Brimberg, J. & Hansen, P., 2006. "A note on duality gap in the simple plant location problem," European Journal of Operational Research, Elsevier, vol. 174(1), pages 11-22, October.
    7. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(4), pages 629-637, August.
    8. Olivier Briant & Denis Naddef, 2004. "The Optimal Diversity Management Problem," Operations Research, INFORMS, vol. 52(4), pages 515-526, August.
    9. Beltran-Royo, C., 2007. "A conjugate Rosen's gradient projection method with global line search for piecewise linear concave optimization," European Journal of Operational Research, Elsevier, vol. 182(2), pages 536-551, October.
    10. Donald Erlenkotter, 1978. "A Dual-Based Procedure for Uncapacitated Facility Location," Operations Research, INFORMS, vol. 26(6), pages 992-1009, December.
    11. Mercedes Landete & Alfredo Marín, 2009. "New facets for the two-stage uncapacitated facility location polytope," Computational Optimization and Applications, Springer, vol. 44(3), pages 487-519, December.
    12. Gao, Li-Lian & Robinson, E. Powell, 1994. "Uncapacitated facility location: General solution procedure and computational experience," European Journal of Operational Research, Elsevier, vol. 76(3), pages 410-427, August.
    13. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(3), pages 427-432, June.
    14. D. Chinhyung Cho & Manfred W. Padberg & M. R. Rao, 1983. "On the Uncapacitated Plant Location Problem. II: Facets and Lifting Theorems," Mathematics of Operations Research, INFORMS, vol. 8(4), pages 590-612, November.
    15. J. L. Goffin & A. Haurie & J. P. Vial, 1992. "Decomposition and Nondifferentiable Optimization with the Projective Algorithm," Management Science, INFORMS, vol. 38(2), pages 284-302, February.
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    Cited by:

    1. Kurt Jörnsten & Andreas Klose, 2016. "An improved Lagrangian relaxation and dual ascent approach to facility location problems," Computational Management Science, Springer, vol. 13(3), pages 317-348, July.
    2. Letchford, Adam N. & Miller, Sebastian J., 2014. "An aggressive reduction scheme for the simple plant location problem," European Journal of Operational Research, Elsevier, vol. 234(3), pages 674-682.
    3. Matteo Fischetti & Ivana Ljubić & Markus Sinnl, 2017. "Redesigning Benders Decomposition for Large-Scale Facility Location," Management Science, INFORMS, vol. 63(7), pages 2146-2162, July.
    4. Belik, Ivan & Jörnsten, Kurt, 2014. "A New Semi-Lagrangean Relaxation for the K-Cardinality Assignment Problem," Discussion Papers 2014/1, Norwegian School of Economics, Department of Business and Management Science.
    5. Huizhen Zhang & Cesar Beltran-Royo & Bo Wang & Ziying Zhang, 2019. "Two-phase semi-Lagrangian relaxation for solving the uncapacitated distribution centers location problem for B2C E-commerce," Computational Optimization and Applications, Springer, vol. 72(3), pages 827-848, April.

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