287
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

Finding highly preferred points for multi-objective integer programs

&
Pages 1181-1195 | Received 01 Feb 2013, Accepted 01 Nov 2013, Published online: 28 Jul 2014

References

  • Alves, M.J. and Clímaco, J. (1999) Using cutting planes in an interactive reference point approach for multi-objective integer linear programming problems. European Journal of Operational Research, 117, 565–577.
  • Alves, M.J. and Clímaco, J. (2000) An interactive reference point approach for multi-objective mixed-integer programming using branch-and-bound. European Journal of Operational Research, 124, 478–494.
  • Alves, M.J. and Clímaco, J. (2007) A review of interactive methods for multi-objective integer and mixed-integer programming. European Journal of Operational Research, 180, 99–115.
  • Chaudhuri, S. and Deb, K. (2010) An interactive evolutionary multi-objective optimization and decision making procedure. Applied Soft Computing, 10(2), 496–511.
  • Ehrgott, M. and Gandibleux, X. (2000) An annotated bibliography of multiobjective combinatorial optimization. OR Spektrum, 22, 425–460.
  • Fowler, J.W., Gel, E.S., Köksalan, M.M., Korhonen, P., Marquis, J.L. and Wallenius, J. (2010) Interactive evolutionary multi-objective optimization for quasi-concave preference functions. European Journal of Operational Research, 206, 417–425.
  • Karaivanova, J., Korhonen, P., Narula, S., Wallenius, J. and Vassilev, V. (1995) A reference direction approach to multiple objective integer linear programming. European Journal of Operational Research, 81, 176–187.
  • Karwan, M.H., Zionts, S., Villarreal, B. and Ramesh, R. (1985) An improved interactive multicriteria integer programming algorithm. Lecture Notes in Economics and Mathematical Systems, 242, 261–271.
  • Köksalan, M. (2009) Multiobjective combinatorial optimization: some approaches. Journal of Multi-Criteria Decision Analysis, 15, 69–78.
  • Köksalan, M. and Karahan, İ. (2010) An interactive territory defining evolutionary algorithm: iTDEA. IEEE Transactions on Evolutionary Computation, 14(5), 702–722.
  • Köksalan, M. and Lokman, B. (2009) Approximating the nondominated frontiers of multi-objective combinatorial optimization problems. Naval Research Logistics, 56, 191–198.
  • Köksalan, M. and Phelps, S.P. (2007) An evolutionary metaheuristic for approximating preference-nondominated solutions. INFORMS Journal on Computing, 19(2), 291–301.
  • Köksalan, M. and Lokman, B. (2014) Finding nadir points for multi-objective integer programs. Journal of Global Optimization, DOI: 10.1007/s10898-014-0212-0, in press.
  • Lokman, B. and Köksalan, M. (2013) Finding all nondominated points of multi-objective integer programs. Journal of Global Optimization, 57, 347–365.
  • Lokman, B., Köksalan, M., Korhonen, P.J. and Wallenius, J. (2014) An interactive algorithm to find the most preferred solution of multi-objective integer programs. Annals of Operations Research, DOI: 10.1007/s10479-014-1545-2, in press.
  • Marcotte, O. and Soland, R.M. (1986) An interactive branch-and-bound algorithm for multiple criteria optimization. Management Science, 32(1), 61–75.
  • Özlen, M. and Azizoğlu, M. (2009) Multi-objective integer programming: a general approach for generating all non-dominated solutions. European Journal of Operational Research, 199, 25–35.
  • Phelps, S.P. and Köksalan, M. (2003) An interactive evolutionary metaheuristic for multiobjective combinatorial optimization. Management Science, 49(12), 1726–1738.
  • Ramesh, R., Zionts, S. and Karwan, M.H. (1986) A class of practical interactive branch and bound algorithms for multicriteria integer programming. European Journal of Operational Research, 26, 161–172.
  • Steuer, R.E. (1986) Multiple Criteria Optimization: Theory, Computation, and Application, John Wiley & Sons, Inc., New York, NY.
  • Sylva, J. and Crema, A. (2004) A method for finding the set of nondominated vectors for multiple objective integer linear programs. European Journal of Operational Research, 158, 46–55.
  • Sylva, J. and Crema, A. (2007) A method for finding well-dispersed subsets of nondominated vectors for multiple objective mixed integer linear programs. European Journal of Operational Research, 180, 1011–1027.
  • Vassilev, V. and Narula, S.C. (1993) A reference direction algorithm for solving multiple objective integer linear programming problems. Journal of the Operational Research Society, 44(12), 1201–1209.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.