Convexity of linear joint chance constrained optimization with elliptically distributed dependent rows

Autor: Hoang Nam Nguyen, Abdel Lisser, Jia Liu
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Results in Control and Optimization, Vol 12, Iss , Pp 100285- (2023)
Druh dokumentu: article
ISSN: 2666-7207
DOI: 10.1016/j.rico.2023.100285
Popis: In this paper, we study the convexity of the linear joint chance constraints. We assume that the constraint row vectors are elliptically distributed. Further, the dependence of the rows is modeled by a family of Archimedean copulas, namely, the Gumbel–Hougaard copulas. Under mild assumptions, we prove the eventual convexity of the feasibility set.
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