(Enter summary)
Abstract: A standard technique for generating the Pareto set in multicriteria optimization
problems is to minimize (convex) weighted sums of the different objectives for various
different settings of the weights. However, it is well-known that this method succeeds
in getting points from all parts of the Pareto set only when the Pareto curve is convex.
This article provides a geometrical argument as to why this is the case.
Secondly, it is a frequent observation that even for convex Pareto curves, an... (Update)
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BibTeX entry: (Update)
Das, I., Dennis, J. E., "A Closer Look at Drawbacks of Minimizing Weighted Sums of Objectives for Pareto Set Generation in MultiCriteria Optimization Problems." Dept. Of Computational and Applied Mathematics Tech Report 96--36. Rice University, Houston, TX, 1996. http://citeseer.ist.psu.edu/das96closer.html More
@misc{ das96closer,
author = "I. Das and J. Dennis",
title = "A Closer Look at Drawbacks of Minimizing Weighted Sums of Objectives for
Pareto Set Generation in MultiCriteria Optimization Problems",
text = "Das, I., Dennis, J. E., A Closer Look at Drawbacks of Minimizing Weighted
Sums of Objectives for Pareto Set Generation in MultiCriteria Optimization
Problems. Dept. Of Computational and Applied Mathematics Tech Report 96--36.
Rice University, Houston, TX, 1996.",
year = "1996",
url = "citeseer.ist.psu.edu/das96closer.html" }
Citations (may not include all citations):
18
Multicriteria Design Optimization (context) - Eschenauer, Koski et al. - 1990
3
A Non-linear Programming Continuation Strategy for One Param.. (context) - Rao, Papalambros - 1989
2
Multicriteria Optimization in Engineering and in the Science.. (context) - Koski, Optimization - 1988
2
Multiple-Objective Problems: Pareto-Optimal Solutions by Met.. (context) - Lin
1
the Application of a Method of Reference Point Approximation.. (context) - Jahn, Klose et al. - 1991
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