Pareto optimum sensitivity analysis in multicriteria optimization

Finite Elements in Analysis and Design

Volumn 39, Issue 5-6, 2003, Pages 505-520

  Zhang, W H ^a  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

Author keywords

Multicriteria optimization; Optimum sensitivity analysis; Structural design

Indexed keywords

CONSTRAINT THEORY; FINITE DIFFERENCE METHOD; OPTIMIZATION; PARETO PRINCIPLE; PERTURBATION TECHNIQUES; SENSITIVITY ANALYSIS;

MULTICRITERIA OPTIMIZATION;

STRUCTURAL DESIGN;

EID: 85041097158     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-874X(02)00106-3     Document Type: Article

References (7)

1. Zeleny M. Compromise programming. Cochrane J.L., Zeleny M. Multiple Criteria Decision Making. 1973;262-301 University of South Carolina Press, Columbia, SC.
2. Zhang W.H., Domaszewski M., Fleury C. An improved weighting method with multibounds formulation and convex programming for multicriteria structural optimization. Int. J. Numer. Methods Eng. 51:2001;889-902.
3. Sobieszczanski-Sobieski J., Barthelemy J.F., Riley K.M. Sensitivity of optimum solutions to problem parameters. AIAA J. 20:1982;1291-1299.
4. Vanderplaats G.N., Yoshida N. Efficient calculation of optimum design sensitivity. AIAA J. 23:1985;1798-1803.
5. Tappeta R.V., Renaud J.E. Interactive multiobjective optimization procedure. AIAA J. 37:1999;881-889.
6. YS. Li, G.M. Fadel, M.M. Wiecek, Approximating Pareto curves using the hyper-ellipse, ISSMO/NASA/AIAA First Internet Conference on Approximation and Fast Reanalysis Techniques in Engineering Optimisation, 1999.
7. Das I., Dennis J.E. A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems. Struct. Optim. 14:1997;63-69.