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A Lagrangean heuristic for the facility location problem with staircase costs

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  • Holmberg, Kaj
  • Ling, Jonas

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  • Holmberg, Kaj & Ling, Jonas, 1997. "A Lagrangean heuristic for the facility location problem with staircase costs," European Journal of Operational Research, Elsevier, vol. 97(1), pages 63-74, February.
    • Handle: RePEc:eee:ejores:v:97:y:1997:i:1:p:63-74
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    References listed on IDEAS

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    1. Donald Erlenkotter, 1978. "A Dual-Based Procedure for Uncapacitated Facility Location," Operations Research, INFORMS, vol. 26(6), pages 992-1009, December.
    2. Holmberg, Kaj, 1994. "Solving the staircase cost facility location problem with decomposition and piecewise linearization," European Journal of Operational Research, Elsevier, vol. 75(1), pages 41-61, May.
    3. Jacobsen, Soren Kruse, 1983. "Heuristics for the capacitated plant location model," European Journal of Operational Research, Elsevier, vol. 12(3), pages 253-261, March.
    4. 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.
    5. 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.
    6. 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.
    7. Beasley, J. E., 1993. "Lagrangean heuristics for location problems," European Journal of Operational Research, Elsevier, vol. 65(3), pages 383-399, March.
    8. 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).
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    1. Sanjay Jena & Jean-François Cordeau & Bernard Gendron, 2015. "Modeling and solving a logging camp location problem," Annals of Operations Research, Springer, vol. 232(1), pages 151-177, September.
    2. 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.
    3. Broek, John v.d. & Schutz, Peter & Stougie, Leen & Tomasgard, Asgeir, 2006. "Location of slaughterhouses under economies of scale," European Journal of Operational Research, Elsevier, vol. 175(2), pages 740-750, December.
    4. Tue R. L. Christensen & Kim Allan Andersen & Andreas Klose, 2013. "Solving the Single-Sink, Fixed-Charge, Multiple-Choice Transportation Problem by Dynamic Programming," Transportation Science, INFORMS, vol. 47(3), pages 428-438, August.
    5. Keely L. Croxton & Bernard Gendron & Thomas L. Magnanti, 2007. "Variable Disaggregation in Network Flow Problems with Piecewise Linear Costs," Operations Research, INFORMS, vol. 55(1), pages 146-157, February.
    6. Ge, Houtian & Goetz, Stephan & Canning, Patrick & Perez, Agnes, 2018. "Optimal locations of fresh produce aggregation facilities in the United States with scale economies," International Journal of Production Economics, Elsevier, vol. 197(C), pages 143-157.
    7. Alejandro Montoya & Mario C. Vélez–Gallego & Juan G. Villegas, 2016. "Multi-product capacitated facility location problem with general production and building costs," Netnomics, Springer, vol. 17(1), pages 47-70, July.
    8. 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.
    9. Stolletz, Raik & Stolletz, Lars, 2008. "Linearisierungsverfahren für Standortplanungsprobleme mit nichtlinearen Transportkosten," Hannover Economic Papers (HEP) dp-388, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    10. Sanjay Dominik Jena & Jean-François Cordeau & Bernard Gendron, 2017. "Lagrangian Heuristics for Large-Scale Dynamic Facility Location with Generalized Modular Capacities," INFORMS Journal on Computing, INFORMS, vol. 29(3), pages 388-404, August.
    11. Baumgartner, Kerstin & Fuetterer, André & Thonemann, Ulrich W., 2012. "Supply chain design considering economies of scale and transport frequencies," European Journal of Operational Research, Elsevier, vol. 218(3), pages 789-800.
    12. Ram Kumar P N, 2013. "On Modeling The Step Fixed-Charge Transportation Problem," Working papers 134, Indian Institute of Management Kozhikode.
    13. Keely L. Croxton & Bernard Gendron & Thomas L. Magnanti, 2003. "Models and Methods for Merge-in-Transit Operations," Transportation Science, INFORMS, vol. 37(1), pages 1-22, February.
    14. Keely L. Croxton & Bernard Gendron & Thomas L. Magnanti, 2003. "A Comparison of Mixed-Integer Programming Models for Nonconvex Piecewise Linear Cost Minimization Problems," Management Science, INFORMS, vol. 49(9), pages 1268-1273, September.
    15. Marco Antonio Boschetti & Vittorio Maniezzo, 2022. "Matheuristics: using mathematics for heuristic design," 4OR, Springer, vol. 20(2), pages 173-208, June.
    16. Marco A. Boschetti & Vittorio Maniezzo & Matteo Roffilli, 2011. "A Fully Distributed Lagrangean Solution for a Peer-to-Peer Overlay Network Design Problem," INFORMS Journal on Computing, INFORMS, vol. 23(1), pages 90-104, February.
    17. Ya Ping Fang & Kaiwen Meng & Xiao Qi Yang, 2012. "Piecewise Linear Multicriteria Programs: The Continuous Case and Its Discontinuous Generalization," Operations Research, INFORMS, vol. 60(2), pages 398-409, April.
    18. Raik Stolletz & Lars Stolletz, 2008. "Linearisierungsverfahren für Standortplanungsprobleme mit nichtlinearen Transportkosten," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 19(3), pages 261-280, December.
    19. F. J. Hwang & Yao-Huei Huang, 2021. "An effective logarithmic formulation for piecewise linearization requiring no inequality constraint," Computational Optimization and Applications, Springer, vol. 79(3), pages 601-631, July.

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