Introduction to multiobjective optimization: Interactive approaches

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5252 LNCS, Issue , 2008, Pages 27-57

  Miettinen, Kaisa ^a   Ruiz, Francisco ^b   Wierzbicki, Andrzej P ^c,d  

^a UNIVERSITY OF JYVÄSKYLÄ   (Finland)

^b UNIVERSITY OF MÁLAGA   (Spain)

^c JAPAN ADVANCED INSTITUTE OF SCIENCE AND TECHNOLOGY   (Japan)

^d NATIONAL INSTITUTE OF TELECOMMUNICATIONS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSIFICATION (OF INFORMATION); DECISION MAKING; ECONOMIC AND SOCIAL EFFECTS; ITERATIVE METHODS;

INTERACTIVE APPROACH; INTERACTIVE METHODS; ITERATIVE SOLUTIONS; NONLINEAR MULTIOBJECTIVE OPTIMIZATION; OBJECTIVE FUNCTIONS; PREFERENCE INFORMATION; PREFERRED SOLUTIONS; TRADE-OFF INFORMATION;

MULTIOBJECTIVE OPTIMIZATION;

EID: 57049161539     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-88908-3_2     Document Type: Conference Paper

References (73)

1. Benayoun, R., de Montgolfier, J., Tergny, J., Laritchev, O.: Programming with multiple objective functions: Step method (STEM). Mathematical Programming 1, 366-375 (1971)
2. Buchanan, J.T.: Multiple objective mathematical programming: A review. New Zealand Operational Research 14, 1-27 (1986)
3. Buchanan, J.T.: A naïve approach for solving MCDM problems: The GUESS method. Journal of the Operational Research Society 48, 202-206 (1997)
4. Chankong, V., Haimes, Y.Y.: The interactive surrogate worth trade-off (ISWT) method for multiobjective decision making. In: Zionts, S. (ed.) Multiple Criteria Problem Solving, pp. 42-67. Springer, Berlin (1978)
5. Chankong, V., Haimes, Y.Y.: Multiobjective Decision Making. Theory and Methodology. North-Holland, New York (1983)
6. Ehrgott, M., Tenfelde-Podehl, D.: Nadir values: Computation and use in compromise programming. Technical report, Universität Kaiserslautern Fachbereich Mathematik (2000)
7. Eschenauer, H.A., Osyczka, A., Schäfer, E.: Interactive multicriteria optimization in design process. In: Eschenauer, H., Koski, J., Osyczka, A. (eds.) Multicriteria Design Optimization Procedures and Applications, pp. 71-114. Springer, Berlin (1990)
8. Gardiner, L., Steuer, R.E.: Unified interactive multiobjective programming. European Journal of Operational Research 74, 391-406 (1994)
9. Geoffrion, A.M., Dyer, J.S., Feinberg, A.: An interactive approach for multi-criterion optimization, with an application to the operation of an academic department. Management Science 19, 357-368 (1972)
10. Haimes, Y.Y., Hall, W.A.: Multiobjectives in water resources systems analysis: the surrogate worth trade off method. Water Resources Research 10, 615-624 (1974)
11. Haimes, Y.Y., Tarvainen, K., Shima, T., Thadathil, J.: Hierarchical Multiobjective Analysis of Large-Scale Systems. Hemisphere Publishing Corporation, New York (1990)
12. Hakanen, J., Miettinen, K., Mäkelä, M., Manninen, J.: On interactive multiobjective optimization with NIMBUS in chemical process design. Journal of Multi-Criteria Decision Analysis 13, 125-134 (2005)
13. Hakanen, J., Kawajiri, Y., Miettinen, K., Biegler, L.: Interactive multi-objective optimization for simulated moving bed processes. Control and Cybernetics 36, 283-302 (2007)
14. Hämäläinen, J., Miettinen, K., Tarvainen, P., Toivanen, J.: Interactive solution approach to a multiobjective optimization problem in paper machine headbox design. Journal of Optimization Theory and Applications 116, 265-281 (2003)
15. Heikkola, E., Miettinen, K., Nieminen, P.: Multiobjective optimization of an ultrasonic transducer using NIMBUS. Ultrasonics 44, 368-380 (2006)
16. Hwang, C.L., Masud, A.S.M.: Multiple Objective Decision Making - Methods and Applications: A State-of-the-Art Survey. Springer, Berlin (1979)
17. Jaszkiewicz, A., Słowiński, R.: The 'light beam search' approach - an overview of methodology and applications. European Journal of Operational Research 113, 300-314 (1999)
18. Kaliszewski, I.: Out of the mist-towards decision-maker-friendly multiple criteria decision support. European Journal of Operational Research 158, 293-307 (2004)
19. Kaliszewski, I., Michalowski, W.: Searching for psychologically stable solutions of multiple criteria decision problems. European Journal of Operational Research 118, 549-562 (1999)
20. Keeney, R.: Value Focused Thinking, a Path to Creative Decision Making. Harvard University Press, Harvard (1992)
21. Keeney, R., Raiffa, H.: Decisions with Multiple Objectives: Preferences and Value Tradeoffs. Wiley, New York (1976)
22. Klamroth, K., Miettinen, K.: Integrating approximation and interactive decision making in multicriteria optimization. Operations Research 56, 222-234 (2008)
23. Korhonen, P.: Interactive methods. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis. State of the Art Surveys, pp. 641-665. Springer, New York (2005)
24. Korhonen, P., Laakso, J.: A visual interactive method for solving the multiple criteria problem. European Journal of Operational Research 24, 277-287 (1986)
25. Korhonen, P., Wallenius, J.: Behavioural issues in MCDM: Neglected research questions. Journal of Multi-Criteria Decision Analysis 5, 178-182 (1996)
26. Larichev, O.: Cognitive validity in design of decision aiding techniques. Journal of Multi-Criteria Decision Analysis 1, 127-138 (1992)
27. Lewandowski, A., Wierzbicki, A.P.: Aspiration Based Decision Support Systems. Theory, Software and Applications. Springer, Berlin (1989)
28. Lotov, A.V., Bushenkov, V.A., Kamenev, G.K.: Interactive Decision Maps. Approximation and Visualization of Pareto Frontier. Kluwer Academic Publishers, Boston (2004)
29. Luque, M., Caballero, R., Molina, J., Ruiz, F.: Equivalent information for multiobjective interactive procedures. Management Science 53, 125-134 (2007a)
30. Luque, M., Ruiz, F., Miettinen, K.: GLIDE - general formulation for interactive multiobjective optimization. Technical Report W-432, Helsinki School of Economics, Helsinki (2007b)
31. Makowski, M.: Model-based decision making support for problems with conflicting goals. In: Proceedings of the 2nd International Symposium on System and Human Science, Lawrence Livermore National Laboratory, Livermore (2005)
32. Miettinen, K.: Nonlinear Multiobjective Optimization. Kluwer Academic Publishers, Boston (1999)
33. Miettinen, K.: IND-NIMBUS for demanding interactive multiobjective optimization. In: Trzaskalik, T. (ed.) Multiple Criteria Decision Making '05, pp. 137-150. The Karol Adamiecki University of Economics, Katowice (2006)
34. Miettinen, K., Kaario, K.: Comparing graphic and symbolic classification in interactive multiobjective optimization. Journal of Multi-Criteria Decision Analysis 12, 321-335 (2003)
35. Miettinen, K., Kirilov, L.: Interactive reference direction approach using implicit parametrization for nonlinear multiobjective optimization. Journal of Multi-Criteria Decision Analysis 13, 115-123 (2005)
36. Miettinen, K., Mäkelä, M.M.: Interactive bundle-based method for nondifferentiable multiobjective optimization: NIMBUS. Optimization 34, 231-246 (1995)
37. Miettinen, K., Mäkelä, M.M.: Comparative evaluation of some interactive reference point-based methods for multi-objective optimisation. Journal of the Operational Research Society 50, 949-959 (1999)
38. Miettinen, K., Mäkelä, M.M.: Interactive multiobjective optimization system WWW-NIMBUS on the Internet. Computers & Operations Research 27, 709-723 (2000)
39. Miettinen, K., Mäkelä, M.M.: On scalarizing functions in multiobjective optimization. OR Spectrum 24, 193-213 (2002)
40. Miettinen, K., Mäkelä, M.M.: Synchronous approach in interactive multiobjective optimization. European Journal of Operational Research 170, 909-922 (2006)
41. Miettinen, K., Mäkelä, M.M., Männikkö, T.: Optimal control of continuous casting by nondifferentiable multiobjective optimization. Computational Optimization and Applications 11, 177-194 (1998)
42. Miettinen, K., Lotov, A.V., Kamenev, G.K., Berezkin, V.E.: Integration of two multiobjective optimization methods for nonlinear problems. Optimization Methods and Software 18, 63-80 (2003)
43. Miettinen, K., Mäkelä, M.M., Kaario, K.: Experiments with classification-based scalarizing functions in interactive multiobjective optimization. European Journal of Operational Research 175, 931-947 (2006)
44. Nakayama, H.: Aspiration level approach to interactive multi-objective programming and its applications. In: Pardalos, P.M., Siskos, Y., Zopounidis, C (eds.) Advances in Multicriteria Analysis, pp. 147-174. Kluwer Academic Publishers, Dordrecht (1995)
45. Nakayama, H., Sawaragi, Y.: Satisficing trade-off method for multiobjective programming. In: Grauer, M., Wierzbicki, A.P. (eds.) Interactive Decision Analysis, pp. 113-122. Springer, Heidelberg (1984)
46. Narula, S.C., Kirilov, L., Vassilev, V.: Reference direction approach for solving multiple objective nonlinear programming problems. IEEE Transactions on Systems, Man, and Cybernetics 24, 804-806 (1994)
47. Ogryczak, W.: On multicriteria optimization with fair aggregation of individual achievements. In: CSM'06: 20th Workshop on Methodologies and Tools for Complex System Modeling and Integrated Policy Assessment, IIASA, Laxenburg, Austria (2006), http://www.iiasa.ac.at/~marek/ftppub/Pubs/csm06/ogryczak-pap.pdf
48. Rawls, J.: A Theory of Justice. Belknap Press, Cambridge (1971)
49. Saaty, T.: Decision Making for Leaders: the Analytical Hierarchy Process for Decisions in a Complex World. Lifetime Learning Publications, Belmont (1982)
50. Sakawa, M.: Interactive multiobjective decision making by the sequential proxy optimization technique. European Journal of Operational Research 9, 386-396 (1982)
51. Sawaragi, Y., Nakayama, H., Tanino, T.: Theory of Multiobjective Optimization. Academic Press, Orlando (1985)
52. Shin, W.S., Ravindran, A.: Interactive multiple objective optimization: Survey I -continuous case. Computers & Operations Research 18, 97-114 (1991)
53. Statnikov, R.B.: Multicriteria Design: Optimization and Identification. Kluwer Academic Publishers, Dordrecht (1999)
54. Steuer, R.E.: Multiple Criteria Optimization: Theory, Computation, and Applications. Wiley, Chichester (1986)
55. Steuer, R.E.: The Tchebycheff procedure of interactive multiple objective programming. In: Karpak, B., Zionts, S. (eds.) Multiple Criteria Decision Making and Risk Analysis Using Microcomputers, pp. 235-249. Springer, Berlin (1989)
56. Steuer, R.E., Silverman, J., Whisman, A.W.: A combined Tchebycheff/aspiration criterion vector interactive multiobjective programming procedure. Management Science 39, 1255-1260 (1993)
57. Stewart, T.J.: A critical survey on the status of multiple criteria decision making theory and practice. Omega 20, 569-586 (1992)
58. Tabucanon, M.T.: Multiple Criteria Decision Making in Industry. Elsevier Science Publishers, Amsterdam (1988)
59. Tarvainen, K.: On the implementation of the interactive surrogate worth tradeoff (ISWT) method. In: Grauer, M., Wierzbicki, A.P. (eds.) Interactive Decision Analysis, pp. 154-161. Springer, Berlin (1984)
60. Vanderpooten, D., Vincke, P.: Description and analysis of some representative interactive multicriteria procedures. Mathematical and Computer Modelling 12, 1221-1238 (1989)
61. Vassilev, V.S., Narula, S.C., Gouljashki, V.G.: An interactive reference direction algorithm for solving multi-objective convex nonlinear integer programming problems. International Transactions in Operational Research 8, 367-380 (2001)
62. Vincke, P.: Multicriteria Decision-Aid. Wiley, Chichester (1992)
63. Wierzbicki, A.P.: Basic properties of scalarizing functionals for multiobjective optimization. Mathematische Operationsforschung und Statistik - Optimization 8, 55-60 (1977)
64. Wierzbicki, A.P.: The use of reference objectives in multiobjective optimization. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making, Theory and Applications, pp. 468-486. Springer, Berlin (1980)
65. Wierzbicki, A.P.: A mathematical basis for satisficing decision making. Mathematical Modeling 3, 391-405 (1983)
66. Wierzbicki, A.P.: On the completeness and constructiveness of parametric characterizations to vector optimization problems. OR Spectrum 8, 73-87 (1986)
67. Wierzbicki, A.P.: On the role of intuition in decision making and some ways of multicriteria aid of intuition. Journal of Multi-Criteria Decision Analysis 6, 65-78 (1997)
68. Wierzbicki, A.P.: Reference point approaches. In: Gal, T., Stewart, T.J., Hanne, T. (eds.) Multicriteria Decision Making: Advances in MCDM Models, Algorithms, Theory, and Applications, pp. 9-1-9-39, Kluwer, Dordrecht (1999)
69. Wierzbicki, A.P., Makowski, M., Wessels, J. (eds.): Decision Support Methodology with Environmental Applications. Kluwer Academic Publishers, Dordrecht (2000)
70. Yang, J.B.: Gradient projection and local region search for multiobjective optimisation. European Journal of Operational Research 112, 432-459 (1999)
71. Yang, J.B., Li, D.: Normal vector identification and interactive tradeoff analysis using minimax formulation in multiobjective optimisation. IEEE Transactions on Systems, Man and Cybernetics 32, 305-319 (2002)
72. Zionts, S., Wallenius, J.: An interactive programming method for solving the multiple criteria problem. Management Science 22, 652-663 (1976)
73. Zionts, S., Wallenius, J.: An interactive multiple objective linear programming method for a class of underlying utility functions. Management Science 29, 519-529 (1983)