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An interactive reference point approach for multiobjective mixed-integer programming using branch-and-bound

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  • Alves, Maria Joao
  • Climaco, Joao

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  • 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.
    • Handle: RePEc:eee:ejores:v:124:y:2000:i:3:p:478-494
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    1. Ramesh, R. & Zionts, Stanley & Karwan, Mark H., 1986. "A class of practical interactive branch and bound algorithms for multicriteria integer programming," European Journal of Operational Research, Elsevier, vol. 26(1), pages 161-172, July.
    2. Gerald W. Evans, 1984. "An Overview of Techniques for Solving Multiobjective Mathematical Programs," Management Science, INFORMS, vol. 30(11), pages 1268-1282, November.
    3. Weber, Charles A. & Current, John R., 1993. "A multiobjective approach to vendor selection," European Journal of Operational Research, Elsevier, vol. 68(2), pages 173-184, July.
    4. 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.
    5. 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.
    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. Vandankumar M. Trivedi, 1981. "A Mixed-Integer Goal Programming Model for Nursing Service Budgeting," Operations Research, INFORMS, vol. 29(5), pages 1019-1034, October.
    9. Osleeb, Jeffrey P. & Ratick, Samuel J., 1983. "A mixed integer and multiple objective programming model to analyze coal handling in New England," European Journal of Operational Research, Elsevier, vol. 12(3), pages 302-313, March.
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    Cited by:

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    2. 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.
    3. 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.
    4. 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.
    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. 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.
    7. Filippi, C. & Guastaroba, G. & Speranza, M.G., 2016. "A heuristic framework for the bi-objective enhanced index tracking problem," Omega, Elsevier, vol. 65(C), pages 122-137.
    8. Seyyed Amir Babak Rasmi & Ali Fattahi & Metin Türkay, 2021. "SASS: slicing with adaptive steps search method for finding the non-dominated points of tri-objective mixed-integer linear programming problems," Annals of Operations Research, Springer, vol. 296(1), pages 841-876, January.
    9. Koutras, V.P. & Platis, A.N. & Gravvanis, G.A., 2009. "Optimal server resource reservation policies for priority classes of users under cyclic non-homogeneous markov modeling," European Journal of Operational Research, Elsevier, vol. 198(2), pages 545-556, October.
    10. Zhang, Cai Wen & Ong, Hoon Liong, 2004. "Solving the biobjective zero-one knapsack problem by an efficient LP-based heuristic," European Journal of Operational Research, Elsevier, vol. 159(3), pages 545-557, December.
    11. 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.
    12. Sylva, John & Crema, Alejandro, 2007. "A method for finding well-dispersed subsets of non-dominated vectors for multiple objective mixed integer linear programs," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1011-1027, August.
    13. 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.
    14. Dinçer Konur & Hadi Farhangi & Cihan H. Dagli, 2016. "A multi-objective military system of systems architecting problem with inflexible and flexible systems: formulation and solution methods," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(4), pages 967-1006, October.
    15. Jieguang He & Xin Chen & Xindu Chen & Qiang Liu, 2016. "Distributed production planning based on ATC and MOILP considering different coordination patterns," Journal of Intelligent Manufacturing, Springer, vol. 27(5), pages 1067-1084, October.
    16. Stephan Helfrich & Tyler Perini & Pascal Halffmann & Natashia Boland & Stefan Ruzika, 2023. "Analysis of the weighted Tchebycheff weight set decomposition for multiobjective discrete optimization problems," Journal of Global Optimization, Springer, vol. 86(2), pages 417-440, June.
    17. Alves, Maria João & Costa, João Paulo, 2016. "Graphical exploration of the weight space in three-objective mixed integer linear programs," European Journal of Operational Research, Elsevier, vol. 248(1), pages 72-83.
    18. 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.
    19. Holzmann, Tim & Smith, J.C., 2018. "Solving discrete multi-objective optimization problems using modified augmented weighted Tchebychev scalarizations," European Journal of Operational Research, Elsevier, vol. 271(2), pages 436-449.

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