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A review of interactive methods for multiobjective integer and mixed-integer programming

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  • Alves, Maria Joao
  • Climaco, Joao

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  • 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.
  • Handle: RePEc:eee:ejores:v:180:y:2007:i:1:p:99-115
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    1. Odile Marcotte & Richard M. Soland, 1986. "An Interactive Branch-and-Bound Algorithm for Multiple Criteria Optimization," Management Science, INFORMS, vol. 32(1), pages 61-75, January.
    2. Chalmet, L. G. & Lemonidis, L. & Elzinga, D. J., 1986. "An algorithm for the bi-criterion integer programming problem," European Journal of Operational Research, Elsevier, vol. 25(2), pages 292-300, May.
    3. Roy, B., 1987. "Meaning and validity of interactive procedures as tools for decision making," European Journal of Operational Research, Elsevier, vol. 31(3), pages 297-303, September.
    4. White, D. J., 1984. "A branch and bound method for multi-objective boolean problems," European Journal of Operational Research, Elsevier, vol. 15(1), pages 126-130, January.
    5. Kato, Kosuke & Sakawa, Masatoshi, 1998. "An interactive fuzzy satisficing method for large scale multiobjective 0-1 programming problems with fuzzy parameters through genetic algorithms," European Journal of Operational Research, Elsevier, vol. 107(3), pages 590-598, June.
    6. 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.
    7. Gülseren Kiziltan & Erkut Yucaou{g}lu, 1983. "An Algorithm for Multiobjective Zero-One Linear Programming," Management Science, INFORMS, vol. 29(12), pages 1444-1453, December.
    8. Deckro, R. F. & Winkofsky, E. P., 1983. "Solving zero-one multiple objective programs through implicit enumeration," European Journal of Operational Research, Elsevier, vol. 12(4), pages 362-374, April.
    9. Rasmussen, L. M., 1986. "Zero--one programming with multiple criteria," European Journal of Operational Research, Elsevier, vol. 26(1), pages 83-95, July.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. Mavrotas, G. & Diakoulaki, D., 1998. "A branch and bound algorithm for mixed zero-one multiple objective linear programming," European Journal of Operational Research, Elsevier, vol. 107(3), pages 530-541, June.
    15. Ralph E. Steuer & Joe Silverman & Alan W. Whisman, 1993. "A Combined Tchebycheff/Aspiration Criterion Vector Interactive Multiobjective Programming Procedure," Management Science, INFORMS, vol. 39(10), pages 1255-1260, October.
    16. Klein, Dieter & Hannan, Edward, 1982. "An algorithm for the multiple objective integer linear programming problem," European Journal of Operational Research, Elsevier, vol. 9(4), pages 378-385, April.
    17. Pekka Korhonen & Jyrki Wallenius, 1988. "A pareto race," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(6), pages 615-623, December.
    18. Wan S. Shin & Diane Breivik Allen, 1994. "An interactive paired comparison method for bicriterion integer programming," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(3), pages 423-434, April.
    19. Gerald W. Evans, 1984. "An Overview of Techniques for Solving Multiobjective Mathematical Programs," Management Science, INFORMS, vol. 30(11), pages 1268-1282, November.
    20. White, D. J., 1985. "A multiple objective interactive Lagrangean relaxation approach," European Journal of Operational Research, Elsevier, vol. 19(1), pages 82-90, January.
    21. Stanley Zionts & Jyrki Wallenius, 1983. "An Interactive Multiple Objective Linear Programming Method for a Class of Underlying Nonlinear Utility Functions," Management Science, INFORMS, vol. 29(5), pages 519-529, May.
    22. Sylva, John & Crema, Alejandro, 2004. "A method for finding the set of non-dominated vectors for multiple objective integer linear programs," European Journal of Operational Research, Elsevier, vol. 158(1), pages 46-55, October.
    23. 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.
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