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arXiv · 1303.6232

Multiple Criteria Problems over Minkowski Balls

S. S Kutateladze
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Abstract

Under study are some vector optimization problems over the space of Minkowski balls, i.e., symmetric convex compact subsets in Euclidean space. A typical problem requires to achieve the best result in the presence of conflicting goals; e.g., given the surface area of a symmetric convex body $\mathfrak x$, we try to maximize the volume of $\mathfrak x$ and minimize the width of $\mathfrak x$ simultaneously.

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S. S Kutateladze. 2013-03-22. Multiple Criteria Problems over Minkowski Balls. https://doi.org/10.1134/s1990478913020099

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