EUROPT 2024
Abstract Submission

39. Uncertain standard quadratic optimization under distributional assumptions: a chance-constrained epigraphic approach

Invited abstract in session WD-2: Conic and polynomial optimization, stream Conic optimization: theory, algorithms and applications.

Wednesday, 11:25 - 12:40
Room: M:O

Authors (first author is the speaker)

1. Immanuel Bomze
Dept. of Statistics and OR, University of Vienna
2. Daniel de Vicente
University of Vienna

Abstract

The standard quadratic optimization problem (StQP) consists of minimizing a quadratic form over the standard simplex. Without convexity or concavity of the quadratic form, the StQP is NP-hard. This problem has many interesting applications. Sometimes, the data matrix is uncertain. We investigate models where the distribution of the data matrix is known but where both the StQP after realization of the data matrix and the here-and-now problem are indefinite.

Keywords

Status: accepted


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