Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第53回ISCIE「確率システム理論と応用」国際シンポジウム(2021年10月, 草津)
On the Effect of Norm Selection in Scenario Approach to Robust Feasibility Problem
Tomoyuki IoriYasumasa Fujisaki
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2022 年 2022 巻 p. 56-60

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In this paper, we investigate the effect of norm selection in the scenario approach to robust feasibility problems. Robust feasibility problems can be converted into robust optimization problems by minimizing an objective function such as the norm of decision variables. In such cases, the choice of the norm may affect the robustness of the optimal solution in the scenario approach. The 2- and ∞-norms are compared by simulating two numerical examples, which represent two extremal situations for minimizing ∞-norm.
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© 2022 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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