Proceedings of TOGO 2010 , pp . 1 ? ? . The averaged problem ∗
نویسنده
چکیده
We consider a particular global optimization problem whose special structure permits the use of a decomposition algorithm optimizing globally only in search spaces of lower dimension. Roughly speaking, this problem involves the optimization of a weighted average of objective function values, subject to the same weighted average of constraints, where the weights are to be determined. We present theoretical results and an algorithmic approach to solve problems of this class.
منابع مشابه
Proceedings of TOGO 2010 , pp . 3 – 6 . Optimization problems in planar geometry ∗
Attributes such as perimeter, area, diameter, sum of distances between vertices and width can be evaluated for every planar convex polygon. Fixing one of these attributes while minimizing of maximizing another defines families of optimization problems. Some of these problems have a trivial solution, and several others have been solved, some since the Greeks, by geometrical reasoning. During the...
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تاریخ انتشار 2010