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

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  • Alves, Maria Joao
  • Climaco, Joao

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  • 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
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    References listed on IDEAS

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    1. Gerald W. Evans, 1984. "An Overview of Techniques for Solving Multiobjective Mathematical Programs," Management Science, INFORMS, vol. 30(11), pages 1268-1282, November.
    2. E. Andrew Boyd, 1994. "Fenchel Cutting Planes for Integer Programs," Operations Research, INFORMS, vol. 42(1), pages 53-64, February.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    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.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    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.

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