IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v117y1999i3p565-577.html
   My bibliography  Save this article

Using cutting planes in an interactive reference point approach for multiobjective integer linear programming problems

Author

Listed:
  • Alves, Maria Joao
  • Climaco, Joao

Abstract

No abstract is available for this item.

Suggested Citation

  • Alves, Maria Joao & Climaco, Joao, 1999. "Using cutting planes in an interactive reference point approach for multiobjective integer linear programming problems," European Journal of Operational Research, Elsevier, vol. 117(3), pages 565-577, September.
    • Handle: RePEc:eee:ejores:v:117:y:1999:i:3:p:565-577
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(98)00269-0
    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. Karaivanova, Jasmina N. & Narula, Subhash C. & Vassilev, Vassil, 1993. "An interactive procedure for multiple objective integer linear programming problems," European Journal of Operational Research, Elsevier, vol. 68(3), pages 344-351, August.
    2. Tony J. Van Roy & Laurence A. Wolsey, 1987. "Solving Mixed Integer Programming Problems Using Automatic Reformulation," Operations Research, INFORMS, vol. 35(1), pages 45-57, February.
    3. Harlan Crowder & Ellis L. Johnson & Manfred Padberg, 1983. "Solving Large-Scale Zero-One Linear Programming Problems," Operations Research, INFORMS, vol. 31(5), pages 803-834, October.
    4. Narula, Subhash C. & Vassilev, Vassil, 1994. "An interactive algorithm for solving multiple objective integer linear programming problems," European Journal of Operational Research, Elsevier, vol. 79(3), pages 443-450, December.
    5. Karaivanova, Jasmina & Korhonen, Pekka & Narula, Subhash & Wallenius, Jyrki & Vassilev, Vassil, 1995. "A reference direction approach to multiple objective integer linear programming," European Journal of Operational Research, Elsevier, vol. 81(1), pages 176-187, February.
    6. Ellis L. Johnson & Michael M. Kostreva & Uwe H. Suhl, 1985. "Solving 0-1 Integer Programming Problems Arising from Large Scale Planning Models," Operations Research, INFORMS, vol. 33(4), pages 803-819, August.
    7. Egon Balas & Sebastián Ceria & Gérard Cornuéjols, 1996. "Mixed 0-1 Programming by Lift-and-Project in a Branch-and-Cut Framework," Management Science, INFORMS, vol. 42(9), pages 1229-1246, September.
    8. Gerald W. Evans, 1984. "An Overview of Techniques for Solving Multiobjective Mathematical Programs," Management Science, INFORMS, vol. 30(11), pages 1268-1282, November.
    9. E. Andrew Boyd, 1994. "Fenchel Cutting Planes for Integer Programs," Operations Research, INFORMS, vol. 42(1), pages 53-64, February.
    10. Metev, Boyan & Yordanova, Irena, 1993. "Use of reference points for MOLP problems analysis," European Journal of Operational Research, Elsevier, vol. 68(3), pages 374-378, 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. Ted Ralphs & Matthew Saltzman & Margaret Wiecek, 2006. "An improved algorithm for solving biobjective integer programs," Annals of Operations Research, Springer, vol. 147(1), pages 43-70, October.
    2. Alves, Maria Joao & Climaco, Joao, 2007. "A review of interactive methods for multiobjective integer and mixed-integer programming," European Journal of Operational Research, Elsevier, vol. 180(1), pages 99-115, July.
    3. Isada, Yuriko & James, Ross J. W. & Nakagawa, Yuji, 2005. "An approach for solving nonlinear multi-objective separable discrete optimization problem with one constraint," European Journal of Operational Research, Elsevier, vol. 162(2), pages 503-513, April.
    4. Banu Lokman & Murat Köksalan & Pekka J. Korhonen & Jyrki Wallenius, 2016. "An interactive algorithm to find the most preferred solution of multi-objective integer programs," Annals of Operations Research, Springer, vol. 245(1), pages 67-95, October.
    5. Demirtas, Ezgi Aktar & Üstün, Özden, 2008. "An integrated multiobjective decision making process for supplier selection and order allocation," Omega, Elsevier, vol. 36(1), pages 76-90, February.
    6. Alves, Maria Joao & Climaco, Joao, 2000. "An interactive reference point approach for multiobjective mixed-integer programming using branch-and-bound," European Journal of Operational Research, Elsevier, vol. 124(3), pages 478-494, August.
    7. Skriver, Anders J. V. & Andersen, Kim Allan & Holmberg, Kaj, 2004. "Bicriteria network location (BNL) problems with criteria dependent lengths and minisum objectives," European Journal of Operational Research, Elsevier, vol. 156(3), pages 541-549, August.
    8. Kallio, Markku & Halme, Merja, 2013. "Cone contraction and reference point methods for multi-criteria mixed integer optimization," European Journal of Operational Research, Elsevier, vol. 229(3), pages 645-653.
    9. Riera-Ledesma, Jorge & Salazar-Gonzalez, Juan Jose, 2005. "The biobjective travelling purchaser problem," European Journal of Operational Research, Elsevier, vol. 160(3), pages 599-613, February.
    10. Alves, Maria Joao & Climaco, Joao, 2004. "A note on a decision support system for multiobjective integer and mixed-integer programming problems," European Journal of Operational Research, Elsevier, vol. 155(1), pages 258-265, May.

    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. Alves, Maria Joao & Climaco, Joao, 2007. "A review of interactive methods for multiobjective integer and mixed-integer programming," European Journal of Operational Research, Elsevier, vol. 180(1), pages 99-115, July.
    2. Alves, Maria Joao & Climaco, Joao, 2000. "An interactive reference point approach for multiobjective mixed-integer programming using branch-and-bound," European Journal of Operational Research, Elsevier, vol. 124(3), pages 478-494, August.
    3. Ustun, Ozden & DemI[dot above]rtas, Ezgi Aktar, 2008. "An integrated multi-objective decision-making process for multi-period lot-sizing with supplier selection," Omega, Elsevier, vol. 36(4), pages 509-521, August.
    4. Demirtas, Ezgi Aktar & Üstün, Özden, 2008. "An integrated multiobjective decision making process for supplier selection and order allocation," Omega, Elsevier, vol. 36(1), pages 76-90, February.
    5. Ted Ralphs & Matthew Saltzman & Margaret Wiecek, 2006. "An improved algorithm for solving biobjective integer programs," Annals of Operations Research, Springer, vol. 147(1), pages 43-70, October.
    6. Metev, Boyan S. & Yordanova-Markova, Irena T., 1997. "Multi-objective optimization over convex disjunctive feasible sets using reference points," European Journal of Operational Research, Elsevier, vol. 98(1), pages 124-137, April.
    7. Pourbabai, B. & Ashayeri, J. & Van Wassenhove, L.N., 1992. "Strategic marketing, production, and distribution planning of an integrated manufacturing system," Other publications TiSEM 16c2bacb-2c2b-427e-b429-c, Tilburg University, School of Economics and Management.
    8. Eva K. Lee, 2004. "Generating Cutting Planes for Mixed Integer Programming Problems in a Parallel Computing Environment," INFORMS Journal on Computing, INFORMS, vol. 16(1), pages 3-26, February.
    9. Aardal, K. & van Hoesel, C.P.M., 1995. "Polyhedral techniques in combinatorial optimization," Research Memorandum 014, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    10. Christopher Hojny & Tristan Gally & Oliver Habeck & Hendrik Lüthen & Frederic Matter & Marc E. Pfetsch & Andreas Schmitt, 2020. "Knapsack polytopes: a survey," Annals of Operations Research, Springer, vol. 292(1), pages 469-517, September.
    11. Richard Laundy & Michael Perregaard & Gabriel Tavares & Horia Tipi & Alkis Vazacopoulos, 2009. "Solving Hard Mixed-Integer Programming Problems with Xpress-MP: A MIPLIB 2003 Case Study," INFORMS Journal on Computing, INFORMS, vol. 21(2), pages 304-313, May.
    12. Lawrence C. Leung & Yer Van Hui & Yong Wang & Gang Chen, 2009. "A 0--1 LP Model for the Integration and Consolidation of Air Cargo Shipments," Operations Research, INFORMS, vol. 57(2), pages 402-412, April.
    13. Metev, Boyan, 1995. "Use of reference points for solving MONLP problems," European Journal of Operational Research, Elsevier, vol. 80(1), pages 193-203, January.
    14. W. Ogryczak & K. Zorychta, 1994. "Modular Optimizer for Mixed Integer Programming MOMIP Version 2.1," Working Papers wp94035, International Institute for Applied Systems Analysis.
    15. Bertsimas, Dimitris & Orlin, James B., 1953-., 1991. "A technique for speeding up the solution of the Lagrangean dual," Working papers 3278-91., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    16. Gyana Parija & Radu Gadidov & Wilbert Wilhelm, 1999. "A Facet Generation Procedure for Solving 0/1 Integer Programs," Operations Research, INFORMS, vol. 47(5), pages 789-791, October.
    17. Aardal, K.I. & van Hoesel, S., 1995. "Polyhedral Techniques in Combinatorial Optimization," Discussion Paper 1995-57, Tilburg University, Center for Economic Research.
    18. 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.
    19. Kurt Spielberg, 2007. "IP over 40+ Years at IBM Scientific Centers and Marketing," Annals of Operations Research, Springer, vol. 149(1), pages 195-208, February.
    20. Xiangyong Li & Y. P. Aneja, 2012. "A Branch-and-Cut Approach for the Minimum-Energy Broadcasting Problem in Wireless Networks," INFORMS Journal on Computing, INFORMS, vol. 24(3), pages 443-456, August.

    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:117:y:1999:i:3:p:565-577. 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.