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This paper builds on foundations laid by Geoffrion and Hogan [1], Olenik and Haimes [2], Nijkamp and Rietveld [3], Shimizu and Aiyoshi [4], and others. Using a hierarchical method, the authors investigate large-scale multiobjective systems. They show that the envelope approach is the most suitable for analysis of multiobjective optimization, especially for problems with multistage and/or multilevel structures. They develop a unified framework for the hierarchical generating method by integrating the envelope approach and the duality theory. The method derived here is a new contribution to the hierarchical multiobjective dynamical analysis of large-scale systems.
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Reviewer:
D. Hicks |
Review #: CR112124 |
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1) |
Geoffrion, A. M., and Hogan, W. W.Coordination of two-level organizations with multiple objectives. in Techniques of optimization, A. V. Balakrishnan (Ed.), Academic Press, New York, 1972, 455–466. |
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2) |
Olenik, S., and Haimes, Y. Y.A hierarchical multiobjective framework for water resources planning. IEEE Trans. Syst. Man Cybern., SMC-9, 9 (Sept. 1979), 534–544. See <CR> 21, 3 (March 1980), Rev. 36,011. |
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3) |
Nijkamp, P., and Rietveld, P.Multiobjective multi-level policy models: an application to regional and environmental planning. Eur. Eco. Rev, 15 (1981), 63–89. |
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4) |
Shimizu, K., and Aiyoshi, E.Hierarchical multi- objective decision systems for general resource allocation problems. J. Optim. Theory Appl. 35 (1981), 517–533. |
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