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A Lagrangean relax-and-cut approach for the two-stage capacitated facility location problem

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  • Klose, Andreas
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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 126 (2000)
    Issue (Month): 2 (October)
    Pages: 408-421

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    Handle: RePEc:eee:ejores:v:126:y:2000:i:2:p:408-421

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    1. Goffin, J. -L. & Haurie, A. & Vial, J. -Ph. & Zhu, D. L., 1993. "Using central prices in the decomposition of linear programs," European Journal of Operational Research, Elsevier, vol. 64(3), pages 393-409, February.
    2. 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.
    3. Guignard, Monique, 1998. "Efficient cuts in Lagrangean `Relax-and-cut' schemes," European Journal of Operational Research, Elsevier, vol. 105(1), pages 216-223, February.
    4. Beasley, J. E., 1993. "Lagrangean heuristics for location problems," European Journal of Operational Research, Elsevier, vol. 65(3), pages 383-399, March.
    5. A. M. Geoffrion & G. W. Graves, 1974. "Multicommodity Distribution System Design by Benders Decomposition," Management Science, INFORMS, vol. 20(5), pages 822-844, January.
    6. 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.
    7. Barcelo, J. & Casanovas, J., 1984. "A heuristic lagrangean algorithm for the capacitated plant location problem," European Journal of Operational Research, Elsevier, vol. 15(2), pages 212-226, February.
    8. Christofides, N. & Beasley, J. E., 1983. "Extensions to a Lagrangean relaxation approach for the capacitated warehouse location problem," European Journal of Operational Research, Elsevier, vol. 12(1), pages 19-28, January.
    9. Sridharan, R., 1995. "The capacitated plant location problem," European Journal of Operational Research, Elsevier, vol. 87(2), pages 203-213, December.
    10. Cornuejols, G. & Sridharan, R. & Thizy, J. M., 1991. "A comparison of heuristics and relaxations for the capacitated plant location problem," European Journal of Operational Research, Elsevier, vol. 50(3), pages 280-297, February.
    11. Barcelo, Jaime & Fernandez, Elena & Jornsten, Kurt O., 1991. "Computational results from a new Lagrangean relaxation algorithm for the capacitated plant location problem," European Journal of Operational Research, Elsevier, vol. 53(1), pages 38-45, July.
    12. Gondzio, J. & du Merle, O. & Sarkissian, R. & Vial, J. -P., 1996. "ACCPM -- A library for convex optimization based on an analytic center cutting plane method," European Journal of Operational Research, Elsevier, vol. 94(1), pages 206-211, October.
    13. Tcha, Dong-wan & Lee, Bum-il, 1984. "A branch-and-bound algorithm for the multi-level uncapacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 18(1), pages 35-43, October.
    14. Sridharan, R., 1993. "A Lagrangian heuristic for the capacitated plant location problem with single source constraints," European Journal of Operational Research, Elsevier, vol. 66(3), pages 305-312, May.
    15. Umit Akinc & Basheer M. Khumawala, 1977. "An Efficient Branch and Bound Algorithm for the Capacitated Warehouse Location Problem," Management Science, INFORMS, vol. 23(6), pages 585-594, February.
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    Cited by:
    1. Klose, Andreas & Drexl, Andreas, 2005. "Facility location models for distribution system design," European Journal of Operational Research, Elsevier, vol. 162(1), pages 4-29, April.
    2. Boffey, Brian & Galvao, Roberto & Espejo, Luis, 2007. "A review of congestion models in the location of facilities with immobile servers," European Journal of Operational Research, Elsevier, vol. 178(3), pages 643-662, May.
    3. 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.
    4. Beraldi, P. & Bruni, M.E., 2009. "A probabilistic model applied to emergency service vehicle location," European Journal of Operational Research, Elsevier, vol. 196(1), pages 323-331, July.
    5. Yang, Zhen & Chu, Feng & Chen, Haoxun, 2012. "A cut-and-solve based algorithm for the single-source capacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 221(3), pages 521-532.
    6. Walther, Grit & Schatka, Anne & Spengler, Thomas S., 2012. "Design of regional production networks for second generation synthetic bio-fuel – A case study in Northern Germany," European Journal of Operational Research, Elsevier, vol. 218(1), pages 280-292.
    7. Mohammad Nezhad, Ali & Manzour, Hasan & Salhi, Said, 2013. "Lagrangian relaxation heuristics for the uncapacitated single-source multi-product facility location problem," International Journal of Production Economics, Elsevier, vol. 145(2), pages 713-723.

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