IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v124y2000i2p377-389.html
   My bibliography  Save this article

A comparison of Lagrangean and surrogate relaxations for the maximal covering location problem

Author

Listed:
  • Galvao, Roberto D.
  • Gonzalo Acosta Espejo, Luis
  • Boffey, Brian

Abstract

No abstract is available for this item.

Suggested Citation

  • Galvao, Roberto D. & Gonzalo Acosta Espejo, Luis & Boffey, Brian, 2000. "A comparison of Lagrangean and surrogate relaxations for the maximal covering location problem," European Journal of Operational Research, Elsevier, vol. 124(2), pages 377-389, July.
    • Handle: RePEc:eee:ejores:v:124:y:2000:i:2:p:377-389
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(99)00171-X
    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. Brian T. Downs & Jeffrey D. Camm, 1996. "An exact algorithm for the maximal covering problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(3), pages 435-461, April.
    2. Alminana, Marcos & Pastor, Jesus T., 1997. "An adaptation of SH heuristic to the location set covering problem," European Journal of Operational Research, Elsevier, vol. 100(3), pages 586-593, August.
    3. Dudzinski, Krzysztof & Walukiewicz, Stanislaw, 1987. "Exact methods for the knapsack problem and its generalizations," European Journal of Operational Research, Elsevier, vol. 28(1), pages 3-21, January.
    4. Fred Glover, 1975. "Surrogate Constraint Duality in Mathematical Programming," Operations Research, INFORMS, vol. 23(3), pages 434-451, June.
    5. Lorena, Luiz Antonio N. & Belo Lopes, Fabio, 1994. "A surrogate heuristic for set covering problems," European Journal of Operational Research, Elsevier, vol. 79(1), pages 138-150, November.
    6. Mark Daskin & Philip C. Jones & Timothy J. Lowe, 1990. "Rationalizing Tool Selection in a Flexible Manufacturing System for Sheet-Metal Products," Operations Research, INFORMS, vol. 38(6), pages 1104-1115, December.
    7. Beasley, J. E., 1987. "An algorithm for set covering problem," European Journal of Operational Research, Elsevier, vol. 31(1), pages 85-93, July.
    8. Lorena, Luiz Antonio N. & Narciso, Marcelo G., 1996. "Relaxation heuristics for a generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 91(3), pages 600-610, June.
    9. F. Robert Dwyer & James R. Evans, 1981. "A Branch and Bound Algorithm for the List Selection Problem in Direct Mail Advertising," Management Science, INFORMS, vol. 27(6), pages 658-667, June.
    10. Samuel Eilon & Roberto D. Galvão, 1978. "Note--Single and Double Vertex Substitution in Heuristic Procedures for the p-Median Problem," Management Science, INFORMS, vol. 24(16), pages 1763-1766, December.
    11. Galvao, Roberto Dieguez & ReVelle, Charles, 1996. "A Lagrangean heuristic for the maximal covering location problem," European Journal of Operational Research, Elsevier, vol. 88(1), pages 114-123, January.
    12. Harvey J. Greenberg & William P. Pierskalla, 1970. "Surrogate Mathematical Programming," Operations Research, INFORMS, vol. 18(5), pages 924-939, October.
    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. Blanquero, Rafael & Carrizosa, Emilio & G.-Tóth, Boglárka, 2016. "Maximal Covering Location Problems on networks with regional demand," Omega, Elsevier, vol. 64(C), pages 77-85.
    2. Dong-Guen Kim & Yeong-Dae Kim, 2013. "A Lagrangian heuristic algorithm for a public healthcare facility location problem," Annals of Operations Research, Springer, vol. 206(1), pages 221-240, July.
    3. Vinícius R. Máximo & Mariá C. V. Nascimento, 2019. "Intensification, learning and diversification in a hybrid metaheuristic: an efficient unification," Journal of Heuristics, Springer, vol. 25(4), pages 539-564, October.
    4. Giuseppe Bruno & Andrea Genovese & Antonino Sgalambro, 2010. "An Agent-Based framework for modeling and solving location problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 18(1), pages 81-96, July.
    5. Cordeau, Jean-François & Furini, Fabio & Ljubić, Ivana, 2019. "Benders decomposition for very large scale partial set covering and maximal covering location problems," European Journal of Operational Research, Elsevier, vol. 275(3), pages 882-896.
    6. Kevin Curtin & Karen Hayslett-McCall & Fang Qiu, 2010. "Determining Optimal Police Patrol Areas with Maximal Covering and Backup Covering Location Models," Networks and Spatial Economics, Springer, vol. 10(1), pages 125-145, March.
    7. Ali Amiri, 2022. "The application grouping problem in Software-as-a-Service (SaaS) networks," Information Technology and Management, Springer, vol. 23(2), pages 125-137, June.
    8. Kim, Dong-Guen & Kim, Yeong-Dae, 2010. "A branch and bound algorithm for determining locations of long-term care facilities," European Journal of Operational Research, Elsevier, vol. 206(1), pages 168-177, October.
    9. Hill, Rebecca Lee & Curtin, Kevin M., 2011. "Solar powered light emitting diode distribution in developing countries: An assessment of potential distribution sites in rural Cambodia using network analyses," Socio-Economic Planning Sciences, Elsevier, vol. 45(1), pages 48-57, March.
    10. James J. Cochran & Martin S. Levy & Jeffrey D. Camm, 2010. "Bayesian coverage optimization models," Journal of Combinatorial Optimization, Springer, vol. 19(2), pages 158-173, February.

    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. Alan T. Murray, 2016. "Maximal Coverage Location Problem," International Regional Science Review, , vol. 39(1), pages 5-27, January.
    2. Narciso, Marcelo G. & Lorena, Luiz Antonio N., 1999. "Lagrangean/surrogate relaxation for generalized assignment problems," European Journal of Operational Research, Elsevier, vol. 114(1), pages 165-177, April.
    3. Ablanedo-Rosas, José H. & Rego, César, 2010. "Surrogate constraint normalization for the set covering problem," European Journal of Operational Research, Elsevier, vol. 205(3), pages 540-551, September.
    4. Lorena, Luiz Antonio N. & Goncalves Narciso, Marcelo, 2002. "Using logical surrogate information in Lagrangean relaxation: An application to symmetric traveling salesman problems," European Journal of Operational Research, Elsevier, vol. 138(3), pages 473-483, May.
    5. Marco Antonio Boschetti & Vittorio Maniezzo, 2022. "Matheuristics: using mathematics for heuristic design," 4OR, Springer, vol. 20(2), pages 173-208, June.
    6. Chen, Liang & Chen, Sheng-Jie & Chen, Wei-Kun & Dai, Yu-Hong & Quan, Tao & Chen, Juan, 2023. "Efficient presolving methods for solving maximal covering and partial set covering location problems," European Journal of Operational Research, Elsevier, vol. 311(1), pages 73-87.
    7. James J. Cochran & Martin S. Levy & Jeffrey D. Camm, 2010. "Bayesian coverage optimization models," Journal of Combinatorial Optimization, Springer, vol. 19(2), pages 158-173, February.
    8. Renaud Chicoisne, 2023. "Computational aspects of column generation for nonlinear and conic optimization: classical and linearized schemes," Computational Optimization and Applications, Springer, vol. 84(3), pages 789-831, April.
    9. Stephanie A. Snyder & Robert G. Haight, 2016. "Application of the Maximal Covering Location Problem to Habitat Reserve Site Selection," International Regional Science Review, , vol. 39(1), pages 28-47, January.
    10. Patrizia Beraldi & Andrzej Ruszczyński, 2002. "The Probabilistic Set-Covering Problem," Operations Research, INFORMS, vol. 50(6), pages 956-967, December.
    11. Cochran, Jeffery K. & Marquez Uribe, Alberto, 2005. "A set covering formulation for agile capacity planning within supply chains," International Journal of Production Economics, Elsevier, vol. 95(2), pages 139-149, February.
    12. Alidaee, Bahram, 2014. "Zero duality gap in surrogate constraint optimization: A concise review of models," European Journal of Operational Research, Elsevier, vol. 232(2), pages 241-248.
    13. Jeffrey D. Camm & Jeremy Christman & A. Narayanan, 2022. "Total Unduplicated Reach and Frequency Optimization at Procter & Gamble," Interfaces, INFORMS, vol. 52(2), pages 149-157, March.
    14. Lorena, Luiz Antonio N. & Narciso, Marcelo G., 1996. "Relaxation heuristics for a generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 91(3), pages 600-610, June.
    15. Selcuk Karabati & Panagiotis Kouvelis & Gang Yu, 2001. "A Min-Max-Sum Resource Allocation Problem and Its Applications," Operations Research, INFORMS, vol. 49(6), pages 913-922, December.
    16. Nieuwenhuizen, Thorsten, 1999. "Johri's general dual, the Lagrangian dual, and the surrogate dual," European Journal of Operational Research, Elsevier, vol. 117(1), pages 183-196, August.
    17. Brian T. Downs & Jeffrey D. Camm, 1996. "An exact algorithm for the maximal covering problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(3), pages 435-461, April.
    18. Nonobe, Koji & Ibaraki, Toshihide, 1998. "A tabu search approach to the constraint satisfaction problem as a general problem solver," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 599-623, April.
    19. Alberto Caprara & Matteo Fischetti & Paolo Toth, 1999. "A Heuristic Method for the Set Covering Problem," Operations Research, INFORMS, vol. 47(5), pages 730-743, October.
    20. Cordeau, Jean-François & Furini, Fabio & Ljubić, Ivana, 2019. "Benders decomposition for very large scale partial set covering and maximal covering location problems," European Journal of Operational Research, Elsevier, vol. 275(3), pages 882-896.

    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:124:y:2000:i:2:p:377-389. 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.