activity
20102024
most citedSet optimization - a rather short introduction

84 citations · 220 across the 19 of their papers we have counts for

collaborators

20 papers

math.OC2024★ 1 cited

Multi-objective stochastic linear programming with recourse and flexible decision making

Andreas H. Hamel, Andreas Löhne

Optimal inventory leads to stochastic optimization problems where deterministic delivery decisions have to be made in advance of stochastic demand realizations. Similarly, risk dep…

math.ST2021

Computation of quantile sets for bivariate data

Andreas H Hamel, Daniel Kostner

Algorithms are proposed for the computation of set-valued quantiles and the values of the lower cone distribution function for bivariate data sets. These new objects make data anal…

math.OC2020★ 1 cited

The inf-translation for solving set minimization problems

Andreas H Hamel, Frank Heyde, Daniela Visetti

Set- and vector-valued optimization problems can be re-formulated as complete lattice-valued problems. This has several advantages, one of which is the existence of a clear-cut sol…

q-fin.MF2019

Robust no arbitrage and the solvability of vector-valued utility maximization problems

Andreas H Hamel, Birgit Rudloff, Zhou Zhou

A market model with assets in discrete time is considered where trades are subject to proportional transaction costs given via bid-ask spreads, while the existence of a numèrai…

q-fin.RM2018

Monetary Measures of Risk

Andreas H Hamel

This survey gives an introduction to monetary measures of risk as monotone and cash additive functions on spaces of univariate random variables. Primal and dual representation resu…

math.OC2018★ 4 cited

Set Relations and Approximate Solutions in Set Optimization

Giovanni Crespi, Andreas H Hamel, Matteo Rocca +1

Via a family of monotone scalar functions, a preorder on a set is extended to its power set and then used to construct a hull operator and a corresponing complete lattice of sets.…