10 citations · 12 across the 6 of their papers we have counts for
6 papers
A Solution Concept for Convex Vector Optimization Problems based on a User-defined Region of Interest
Daniel Dörfler, Rebecca Köhler, Andreas Löhne
This work addresses arbitrary convex vector optimization problems, which constitute a general framework for multi-criteria decision-making in diverse real-world applications. Due t…
MOCVXPY: a CVXPY extension for multiobjective optimization
Ludovic Salomon, Daniel Dörfler, Andreas Löhne
MOCVXPY is an open-source Python library for convex vector optimization. It is built on top of CVXPY, a domain-specific language for single-objective convex optimization. MOCVXPY e…
Convex sets approximable as the sum of a compact set and a cone
Daniel Dörfler, Andreas Löhne
The class of convex sets that admit approximations as Minkowski sum of a compact convex set and a closed convex cone in the Hausdorff distance is introduced. These sets are called…
On the Approximation of Unbounded Convex Sets by Polyhedra
Daniel Dörfler
This article is concerned with the approximation of unbounded convex sets by polyhedra. While there is an abundance of literature investigating this task for compact sets, results…
A polyhedral approximation algorithm for recession cones of spectrahedral shadows
Daniel Dörfler, Andreas Löhne
The intersection of an affine subspace with the cone of positive semidefinite matrices is called a spectrahedron. An orthogonal projection thereof is called a spectrahedral shadow…
Geometric duality and parametric duality for multiple objective linear programs are equivalent
Daniel Dörfler, Andreas Löhne
In 2011, Luc introduced parametric duality for multiple objective linear programs. He showed that geometric duality, introduced in 2008 by Heyde and Löhne, is a consequence of para…