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A branch-and-price algorithm for the capacitated facility location problem

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  • Klose, Andreas
  • Gortz, Simon

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  • Klose, Andreas & Gortz, Simon, 2007. "A branch-and-price algorithm for the capacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1109-1125, June.
    • Handle: RePEc:eee:ejores:v:179:y:2007:i:3:p:1109-1125
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    1. Alfred A. Kuehn & Michael J. Hamburger, 1963. "A Heuristic Program for Locating Warehouses," Management Science, INFORMS, vol. 9(4), pages 643-666, July.
    2. Tony J. Van Roy, 1986. "A Cross Decomposition Algorithm for Capacitated Facility Location," Operations Research, INFORMS, vol. 34(1), pages 145-163, February.
    3. POCHET, Yves & WOLSEY, Laurence A., 1988. "Lot-size models with backlogging: strong reformulations and cutting planes," LIDAM Reprints CORE 791, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Andreas Klose & Andreas Drexl, 2005. "Lower Bounds for the Capacitated Facility Location Problem Based on Column Generation," Management Science, INFORMS, vol. 51(11), pages 1689-1705, November.
    5. P. C. Gilmore & R. E. Gomory, 1961. "A Linear Programming Approach to the Cutting-Stock Problem," Operations Research, INFORMS, vol. 9(6), pages 849-859, December.
    6. Aardal, K. & Pochet, Y. & Wolsey, L. A., 1995. "Capacitated facility location: valid inequalities and facets," LIDAM Reprints CORE 1295, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. 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.
    8. 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.
    9. Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser & Martin W. P. Savelsbergh & Pamela H. Vance, 1998. "Branch-and-Price: Column Generation for Solving Huge Integer Programs," Operations Research, INFORMS, vol. 46(3), pages 316-329, June.
    10. Beasley, J. E., 1988. "An algorithm for solving large capacitated warehouse location problems," European Journal of Operational Research, Elsevier, vol. 33(3), pages 314-325, February.
    11. Jacobsen, Soren Kruse, 1983. "Heuristics for the capacitated plant location model," European Journal of Operational Research, Elsevier, vol. 12(3), pages 253-261, March.
    12. Antonio Frangioni & Giorgio Gallo, 1999. "A Bundle Type Dual-Ascent Approach to Linear Multicommodity Min-Cost Flow Problems," INFORMS Journal on Computing, INFORMS, vol. 11(4), pages 370-393, November.
    13. T. L. Magnanti & R. T. Wong, 1981. "Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria," Operations Research, INFORMS, vol. 29(3), pages 464-484, June.
    14. George B. Dantzig & Philip Wolfe, 1960. "Decomposition Principle for Linear Programs," Operations Research, INFORMS, vol. 8(1), pages 101-111, February.
    15. Domschke, Wolfgang & Drexl, Andreas, 1985. "ADD-heuristics' starting procedures for capacitated plant location models," European Journal of Operational Research, Elsevier, vol. 21(1), pages 47-53, July.
    16. 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.
    17. 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.
    18. Cortinhal, Maria Joao & Captivo, Maria Eugenia, 2003. "Upper and lower bounds for the single source capacitated location problem," European Journal of Operational Research, Elsevier, vol. 151(2), pages 333-351, December.
    19. 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.
    20. Beasley, J. E., 1993. "Lagrangean heuristics for location problems," European Journal of Operational Research, Elsevier, vol. 65(3), pages 383-399, March.
    21. Kochman, G. A. & McCallum, C. J., 1981. "Facility location models for planning a transatlantic communications network," European Journal of Operational Research, Elsevier, vol. 6(2), pages 205-211, February.
    22. Silvano Martello & David Pisinger & Paolo Toth, 1999. "Dynamic Programming and Strong Bounds for the 0-1 Knapsack Problem," Management Science, INFORMS, vol. 45(3), pages 414-424, March.
    23. Domschke, Wolfgang & Drexl, Andreas, 1985. "ADD – heuristics' starting procedures for capacitated plant location models," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 39287, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    24. Karen Aardal & Yves Pochet & Laurence A. Wolsey, 1995. "Capacitated Facility Location: Valid Inequalities and Facets," Mathematics of Operations Research, INFORMS, vol. 20(3), pages 562-582, August.
    25. R. S. Garfinkel & A. W. Neebe & M. R. Rao, 1974. "An Algorithm for the M-Median Plant Location Problem," Transportation Science, INFORMS, vol. 8(3), pages 217-236, August.
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    Cited by:

    1. Christensen, Tue Rauff Lind & Klose, Andreas, 2021. "A fast exact method for the capacitated facility location problem with differentiable convex production costs," European Journal of Operational Research, Elsevier, vol. 292(3), pages 855-868.
    2. Simon Görtz & Andreas Klose, 2012. "A Simple but Usually Fast Branch-and-Bound Algorithm for the Capacitated Facility Location Problem," INFORMS Journal on Computing, INFORMS, vol. 24(4), pages 597-610, November.
    3. Miriam Kießling & Sascha Kurz & Jörg Rambau, 2021. "An exact column-generation approach for the lot-type design problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(3), pages 741-780, October.
    4. Sune Lauth Gadegaard & Andreas Klose & Lars Relund Nielsen, 2018. "An improved cut-and-solve algorithm for the single-source capacitated facility location problem," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 6(1), pages 1-27, March.
    5. Corberán, Ángel & Landete, Mercedes & Peiró, Juanjo & Saldanha-da-Gama, Francisco, 2020. "The facility location problem with capacity transfers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 138(C).
    6. Keskin, Muhammed Emre, 2017. "A column generation heuristic for optimal wireless sensor network design with mobile sinks," European Journal of Operational Research, Elsevier, vol. 260(1), pages 291-304.
    7. Fischetti, Matteo & Ljubić, Ivana & Sinnl, Markus, 2016. "Benders decomposition without separability: A computational study for capacitated facility location problems," European Journal of Operational Research, Elsevier, vol. 253(3), pages 557-569.
    8. Lixin Tang & Gongshu Wang & Jiyin Liu & Jingyi Liu, 2011. "A combination of Lagrangian relaxation and column generation for order batching in steelmaking and continuous‐casting production," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(4), pages 370-388, June.
    9. B Goldengorin & J Keane & V Kuzmenko & M K-S Tso, 2011. "Optimal supplier choice with discounting," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(4), pages 690-699, April.
    10. Marta Sofia R. Monteiro & Dalila B. M. M. Fontes & Fernando A. C. C. Fontes, 2009. "Restructuring Facility Networks under Economy of Scales," FEP Working Papers 324, Universidade do Porto, Faculdade de Economia do Porto.
    11. Wang, Zheng & Sheu, Jiuh-Biing, 2019. "Vehicle routing problem with drones," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 350-364.
    12. Liu, Kaijun & Zhou, Yonghong & Zhang, Zigang, 2010. "Capacitated location model with online demand pooling in a multi-channel supply chain," European Journal of Operational Research, Elsevier, vol. 207(1), pages 218-231, November.
    13. Avella, P. & Boccia, M. & Mattia, S. & Rossi, F., 2021. "Weak flow cover inequalities for the capacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 289(2), pages 485-494.
    14. Jing-Quan Li, 2014. "Transit Bus Scheduling with Limited Energy," Transportation Science, INFORMS, vol. 48(4), pages 521-539, November.
    15. Raghavan, S. & Sahin, Mustafa & Salman, F. Sibel, 2019. "The capacitated mobile facility location problem," European Journal of Operational Research, Elsevier, vol. 277(2), pages 507-520.
    16. Sune Lauth Gadegaard & Andreas Klose & Lars Relund Nielsen, 2018. "A bi-objective approach to discrete cost-bottleneck location problems," Annals of Operations Research, Springer, vol. 267(1), pages 179-201, August.
    17. 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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