Performance evaluation for distributionally robust optimization with binary entries

We consider the data-driven stochastic programming problem with binary entries where the probability of existence of each entry is not known, instead realization of data is provided. We applied the distributionally robust optimization technique to minimize the worst-case expected cost taken over the...

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Bibliographic Details
Main Authors: Shunichi Ohmori, Kazuho Yoshimoto
Format: Article
Language:English
Published: Balikesir University 2020-09-01
Series:An International Journal of Optimization and Control: Theories & Applications
Subjects:
Online Access:http://www.ijocta.org/index.php/files/article/view/911
Description
Summary:We consider the data-driven stochastic programming problem with binary entries where the probability of existence of each entry is not known, instead realization of data is provided. We applied the distributionally robust optimization technique to minimize the worst-case expected cost taken over the ambiguity set based on the Kullback-Leibler divergence. We investigate the out-of-sample performance of the resulting optimal decision and analyze its dependence on the sparsity of the problem.
ISSN:2146-0957
2146-5703