A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems

Structural Optimization

Volumn 14, Issue 1, 1997, Pages 63-69

  Das, I ^a   Dennis, J E ^a  

^a RICE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

OPTIMIZATION; SET THEORY;

MULTICRITERIA OPTIMIZATION; PARETO SET GENERATION; WEIGHT DISTRIBUTION;

STRUCTURAL DESIGN;

EID: 0031212567     PISSN: 09344373     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01197559     Document Type: Article

References (6)

1. Das, I.; Dennis, J.E. 1996: Normal-Boundary Intersection: A new method for generating Pareto-optimal points in multicriteria optimization problems. SIAM J. Optimiz. (accepted)
2. Eschenauer, H.; Koski, J.; Osyczka, A. 1990: Multicriteria design optimization. Berlin, Heidelberg, New York: Springer
3. Jahn, J.; Klose, J.; Merkel, A. 1991: On the application of a method of reference point approximation to bicriterial optimization problems in chemical engineering. In: Oettli, W.; Pallaschke, D. (eds.) Advances in optimization, pp. 478-491. Berlin, Heidelberg, New York: Springer
4. Koski, J. 1988: Multicriteria truss optimization. In: Stadler, W. (ed.) Multicriteria optimization in engineering and in the sciences, pp. 263-307. New York: Plenum Press
5. Lin, J.G. 1976: Multiple-objective problems: Pareto-optimal solutions by method of proper equality constraints. IEEE Trans. Auto. Control 21, 641-650
6. Rao, J.R.; Papalambros, P.Y. 1989: A nonlinear programming continuation strategy for one parameter design optimization problems. Proc. ASME Design Automation Conf. (held in Montreal), pp. 77-89