IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v126y2000i2p408-421.html
   My bibliography  Save this article

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

Author

Listed:
  • Klose, Andreas

Abstract

No abstract is available for this item.

Suggested Citation

  • Klose, Andreas, 2000. "A Lagrangean relax-and-cut approach for the two-stage capacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 126(2), pages 408-421, October.
    • Handle: RePEc:eee:ejores:v:126:y:2000:i:2:p:408-421
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(99)00300-8
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Tony J. Van Roy, 1986. "A Cross Decomposition Algorithm for Capacitated Facility Location," Operations Research, INFORMS, vol. 34(1), pages 145-163, February.
    2. 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.
    3. A Klose, 1999. "An LP-based heuristic for two-stage capacitated facility location problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(2), pages 157-166, February.
    4. Sridharan, R., 1995. "The capacitated plant location problem," European Journal of Operational Research, Elsevier, vol. 87(2), pages 203-213, December.
    5. 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.
    6. 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.
    7. Donald Erlenkotter, 1978. "A Dual-Based Procedure for Uncapacitated Facility Location," Operations Research, INFORMS, vol. 26(6), pages 992-1009, December.
    8. 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.
    9. 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.
    10. A. M. Geoffrion & G. W. Graves, 1974. "Multicommodity Distribution System Design by Benders Decomposition," Management Science, INFORMS, vol. 20(5), pages 822-844, January.
    11. 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.
    12. 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).
    13. 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.
    14. 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.
    15. 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.
    16. Beasley, J. E., 1993. "Lagrangean heuristics for location problems," European Journal of Operational Research, Elsevier, vol. 65(3), pages 383-399, March.
    17. Guignard, Monique, 1998. "Efficient cuts in Lagrangean `Relax-and-cut' schemes," European Journal of Operational Research, Elsevier, vol. 105(1), pages 216-223, February.
    18. 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.
    19. Karen Aardal & Martine Labbé & Janny Leung & Maurice Queyranne, 1996. "On the Two-Level Uncapacitated Facility Location Problem," INFORMS Journal on Computing, INFORMS, vol. 8(3), pages 289-301, August.
    20. 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.
    21. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chandra Ade Irawan & Dylan Jones, 2019. "Formulation and solution of a two-stage capacitated facility location problem with multilevel capacities," Annals of Operations Research, Springer, vol. 272(1), pages 41-67, January.
    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. Lixin Tang & Wei Jiang & Georgios Saharidis, 2013. "An improved Benders decomposition algorithm for the logistics facility location problem with capacity expansions," Annals of Operations Research, Springer, vol. 210(1), pages 165-190, November.
    4. J R Montoya-Torres & A Aponte & P Rosas, 2011. "Applying GRASP to solve the multi-item three-echelon uncapacitated facility location problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(2), pages 397-406, February.
    5. 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.
    6. Yang, Zhen & Chen, Haoxun & Chu, Feng & Wang, Nengmin, 2019. "An effective hybrid approach to the two-stage capacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 275(2), pages 467-480.
    7. Zhi-Hai Zhang & Gemma Berenguer & Zuo-Jun (Max) Shen, 2015. "A Capacitated Facility Location Model with Bidirectional Flows," Transportation Science, INFORMS, vol. 49(1), pages 114-129, February.
    8. Drexl, Andreas & Klose, Andreas, 2001. "Facility location models for distribution system design," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 546, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    9. 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.
    10. Ortiz-Astorquiza, Camilo & Contreras, Ivan & Laporte, Gilbert, 2018. "Multi-level facility location problems," European Journal of Operational Research, Elsevier, vol. 267(3), pages 791-805.
    11. Fischetti, Matteo & Romanin Jacur, Giorgio & Jose Salazar Gonzalez, Juan, 2003. "Optimisation of the interconnecting network of a UMTS radio mobile telephone system," European Journal of Operational Research, Elsevier, vol. 144(1), pages 56-67, January.
    12. Li, Jinfeng & Chu, Feng & Prins, Christian & Zhu, Zhanguo, 2014. "Lower and upper bounds for a two-stage capacitated facility location problem with handling costs," European Journal of Operational Research, Elsevier, vol. 236(3), pages 957-967.
    13. Ohlmann, Jeffrey W. & Bean, James C., 2009. "Resource-constrained management of heterogeneous assets with stochastic deterioration," European Journal of Operational Research, Elsevier, vol. 199(1), pages 198-208, November.
    14. 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.
    15. 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.
    16. 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.
    17. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Drexl, Andreas & Klose, Andreas, 2001. "Facility location models for distribution system design," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 546, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    2. 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.
    3. 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.
    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. Klaus Büdenbender & Tore Grünert & Hans-Jürgen Sebastian, 2000. "A Hybrid Tabu Search/Branch-and-Bound Algorithm for the Direct Flight Network Design Problem," Transportation Science, INFORMS, vol. 34(4), pages 364-380, November.
    6. Samir Elhedhli & Jean-Louis Goffin, 2005. "Efficient Production-Distribution System Design," Management Science, INFORMS, vol. 51(7), pages 1151-1164, July.
    7. Tragantalerngsak, Suda & Holt, John & Ronnqvist, Mikael, 2000. "An exact method for the two-echelon, single-source, capacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 123(3), pages 473-489, June.
    8. Klose, Andreas & Drexl, Andreas, 2001. "Lower bounds for the capacitated facility location problem based on column generation," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 544, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    9. M T Ramos & J Sáez, 2005. "Solving capacitated facility location problems by Fenchel cutting planes," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(3), pages 297-306, March.
    10. Eskigun, Erdem & Uzsoy, Reha & Preckel, Paul V. & Beaujon, George & Krishnan, Subramanian & Tew, Jeffrey D., 2005. "Outbound supply chain network design with mode selection, lead times and capacitated vehicle distribution centers," European Journal of Operational Research, Elsevier, vol. 165(1), pages 182-206, August.
    11. Klose, Andreas & Drexl, Andreas, 2001. "Combinatorial optimisation problems of the assignment type and a partitioning approach," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 545, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    12. Harkness, Joseph & ReVelle, Charles, 2003. "Facility location with increasing production costs," European Journal of Operational Research, Elsevier, vol. 145(1), pages 1-13, February.
    13. Mazzola, Joseph B. & Neebe, Alan W., 1999. "Lagrangian-relaxation-based solution procedures for a multiproduct capacitated facility location problem with choice of facility type," European Journal of Operational Research, Elsevier, vol. 115(2), pages 285-299, June.
    14. Sharma, R.R.K. & Berry, V., 2007. "Developing new formulations and relaxations of single stage capacitated warehouse location problem (SSCWLP): Empirical investigation for assessing relative strengths and computational effort," European Journal of Operational Research, Elsevier, vol. 177(2), pages 803-812, March.
    15. Fathali Firoozi, 2008. "Boundary Distributions in Testing Inequality Hypotheses," Working Papers 0046, College of Business, University of Texas at San Antonio.
    16. 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.
    17. Bülent Çatay & Ş. Selçuk Erengüç & Asoo J. Vakharia, 2005. "Capacity allocation with machine duplication in semiconductor manufacturing," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(7), pages 659-667, October.
    18. Ortiz-Astorquiza, Camilo & Contreras, Ivan & Laporte, Gilbert, 2018. "Multi-level facility location problems," European Journal of Operational Research, Elsevier, vol. 267(3), pages 791-805.
    19. Sourirajan, Karthik & Ozsen, Leyla & Uzsoy, Reha, 2009. "A genetic algorithm for a single product network design model with lead time and safety stock considerations," European Journal of Operational Research, Elsevier, vol. 197(2), pages 599-608, September.
    20. Sridharan, R., 1995. "The capacitated plant location problem," European Journal of Operational Research, Elsevier, vol. 87(2), pages 203-213, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:126:y:2000:i:2:p:408-421. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.