Efficient gradient calculation of the Pareto optimal curve in multicriteria optimization

Structural and Multidisciplinary Optimization

Volumn 23, Issue 4, 2002, Pages 311-319

  Zhang, W H ^a   Yang, H C ^a  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

Author keywords

Gradient computation; Multicritcria optimization; Weighting method

Indexed keywords

GRADIENT METHODS; LINEAR PROGRAMMING; NUMERICAL METHODS; PARETO PRINCIPLE;

MULTICRITERIA OPTIMIZATION;

STRUCTURAL OPTIMIZATION;

EID: 0036589081     PISSN: 1615147X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00158-002-0185-3     Document Type: Article

References (9)

1. Athan, T.W.; Papalambros, Y. 1996: A note on weighted criteria methods for compromise solutions in multi-objective optimization. Eng. Opt. 27, 155-176.
2. Cohon, J.L. 1978: Multiobjective programming and planning. Mathematics in science and engineering. New York: Academic Press.
3. Das, I.; Dennis, J.E. 1997: A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems. Struct. Optim. 14, 63-69.
4. Diaz, A. 1987: Interactive solution to multiobjective optimization problems. Int. J. Num. Meth. Engrg. 24, 1865-1877.
5. Eschenauer, H.; Koski, J.; Osyczka, A. 1990: Multicriteria design optimization. Berlin, Heidelberg, New York: Springer.
6. Koski, J. 1985: Defectiveness of weighting methods in multicriterion optimization of structures. Comm. Appl. Num. Meth. 1, 333-337.
7. Rockafellar, R.T. 1970: Convex analysis. Princeton mathematical series, Vol. 28. Princeton University Press.
8. Stadler, W. 1988: Multicriteria optimization in engineering and in the sciences. New York: Plenum Press.
9. Tappeta, R.V.; Renaud, J.E. 1999: Interactive multiobjective optimization procedure. AIAA J. 37, 881-889.