Global formulation for interactive multiobjective optimization

OR Spectrum

Volumn 33, Issue 1, 2011, Pages 27-48

  Luque, Mariano ^a   Ruiz, Francisco ^a   Miettinen, Kaisa ^b  

^a UNIVERSITY OF MÁLAGA   (Spain)

^b UNIVERSITY OF JYVÄSKYLÄ   (Finland)

Author keywords

Interactive methods; Multiple criteria decision making; Multiple objectives; Preference information

Indexed keywords

EID: 78650763592     PISSN: 01716468     EISSN: 14366304     Source Type: Journal    
DOI: 10.1007/s00291-008-0154-3     Document Type: Article

References (35)

1. Benayoun R, de Montgolfier J, Tergny J, Laritchev O (1971) Programming with multiple objective functions: step method (STEM). Math Program 1(3): 366-375.
2. Buchanan JT (1997) A naïve approach for solving MCDM problems: the GUESS method. J Oper Res Soc 48(2): 202-206.
3. Caballero R, Luque M, Molina J, Ruiz F (2002) PROMOIN: an interactive system for multiobjective programming. Int J Inform Technol Decis Making 1: 635-656.
4. Chankong V, Haimes YY (1983) Multiobjective decision making: theory and methodology. North-Holland, New York.
5. Eschenauer HA, Osyczka A, Schäfer E (1990) Interactive multicriteria optimization in design process. In: Eschenauer H, Koski J, Osyczka A (eds) Multicriteria design optimization procedures and applications. Springer, Berlin, pp 71-114.
6. Gardiner L, Steuer RE (1994a) Unified interactive multiple objective programming. Eur J Oper Res 74(3): 391-406.
7. Gardiner L, Steuer RE (1994b) Unified interactive multiple objective programming: an open architecture for accommodating new procedures. J Oper Res Soc 45(12): 1456-1466.
8. Hwang CL, Masud ASM (1979) Multiple objective decision making-methods and applications: a state-of-the-art survey. Springer, Berlin.
9. Jaszkiewicz A, Slowiński R (1999) The 'light beam search' approach-an overview of methodology and applications. Eur J Oper Res 113: 300-314.
10. Kaliszewski I (2004) Out of the mist-towards decision-maker-friendly multiple criteria decision making support. Eur J Oper Res 158: 293-307.
11. Klamroth K, Miettinen K (2008) Integrating approximation and interactive decision making in multicriteria optimization. Oper Res 56(1): 222-234.
12. Luque M, Caballero R, Molina J, Ruiz F (2007) Equivalent information for multiobjective interactive procedures. Manage Sci 53(1): 125-134.
13. Luque M, Yang JB, Wong BYH (2008) PROJECT method for multiobjective optimisation based on gradient projection and reference point. IEEE Trans Syst Man Cybern-Part A (to appear).
14. Luque M, Miettinen K, Eskelinen P, Ruiz F (2009) Incorporating preference information in interactive reference point methods for multiobjective optimization. Omega 37(2): 450-462.
15. Miettinen K (1999) Nonlinear multiobjective optimization. Kluwer, Boston.
16. Miettinen K (2006) IND-NIMBUS for demanding interactive multiobjective optimization. In: Trzaskalik T (eds) Multiple Criteria Decision Making '05. The Karol Adamiecki University of Economics in Katowice, Katowice, pp 137-150.
17. Miettinen K, Mäkelä MM (1995) Interactive bundle-based method for nondifferentiable multiobjective optimization: NIMBUS. Optimization 34(3): 231-246.
18. Miettinen K, Mäkelä MM (1997) Interactive method NIMBUS for nondifferentiable multiobjective optimization problems. In: Climaco J (eds) Multicriteria analysis. Springer, Berlin, pp 310-319.
19. Miettinen K, Mäkelä MM (1999) Comparative evaluation of some interactive reference point-based methods for multi-objective optimisation. J Oper Res Soc 50(9): 949-959.
20. Miettinen K, Mäkelä MM (2000) Interactive multiobjective optimization system WWW-NIMBUS on the Internet. Comput Oper Res 27(7-8): 709-723.
21. Miettinen K, Mäkelä MM (2002) On scalarizing functions in multiobjective optimization. OR Spectr 24(2): 193-213.
22. Miettinen K, Mäkelä MM (2006) Synchronous approach in interactive multiobjective optimization. Eur J Oper Res 170(3): 909-922.
23. Miettinen K, Mäkelä MM, Kaario K (2006) Experiments with classification-based scalarizing functions in interactive multiobjective optimization. Eur J Oper Res 175(2): 931-947.
24. Nakayama H, Sawaragi Y (1984) Satisficing trade-off method for multiobjective programming. In: Grauer M, Wierzbicki AP (eds) Interactive decision analysis. Springer, Berlin, pp 113-122.
25. Narula SC, Weistroffer HR (1989) A flexible method for nonlinear multicriteria decisionmaking problems. IEEE Trans Syst Man Cybern 19(4): 883-887.
26. Romero C (2001) Extended lexicographic goal programming: a unified approach. Omega 29: 63-71.
27. Sakawa M (1982) Interactive multiobjective decision making by the sequential proxy optimization technique: SPOT. Eur J Oper Res 9(4): 386-396.
28. Sawaragi Y, Nakayama H, Tanino T (1985) Theory of multiobjective optimization. Academic Press, Orlando.
29. Steuer RE (1986) Multiple criteria optimization: theory, computation and application.
30. Steuer RE, Choo EU (1983) An interactive weighted Tchebycheff procedure for multiple objective programming. Math Program 26: 326-344.
31. Vassileva M, Miettinen K, Vassilev V (2005) Generalized scalarizing problem for multicriteria optimization. IIT Working Papers IIT/WP-205, Institute of Information Technologies, Bulgaria.
32. Wierzbicki AP (1980) The use of reference objectives in multiobjective optimization. In: Fandel G, Gal T (eds) Multiple criteria decision making, theory and applications. Springer, Berlin, pp 468-486.
33. Wierzbicki AP (1986) On the completeness and constructiveness of parametric characterizations to vector optimization problems. OR Spectr 8(2): 73-87.
34. Yang JB (1999) Gradient projection and local region search for multiobjective optimization. Eur J Oper Res 112: 432-459.
35. Yang JB, Li D (2002) Normal vector identification and interactive tradeoff analysis using minimax formulation in multiobjective optimisation. IEEE Trans Syst Man Cybern A Syst Humans 32(3): 305-319.