activity
20092023
most citedOperational Research: Methods and Applications

120 citations · 186 across the 14 of their papers we have counts for

collaborators

15 papers

math.OC2023★ 2 cited

Integrated patient-to-room and nurse-to-patient assignment in hospital wards

Tabea Brandt, Tom Lorenz Klein, Melanie Reuter-Oppermann +4

Assigning patients to rooms and nurses to patients are critical tasks within hospitals that directly affect patient and staff satisfaction, quality of care, and hospital efficiency…

cs.AI2023★ 33 cited

Integrated Planning in Hospitals: A Review

Sebastian Rachuba, Melanie Reuter-Oppermann, Clemens Thielen

Efficient planning of scarce resources in hospitals is a challenging task for which a large variety of Operations Research and Management Science approaches have been developed sin…

math.OC2023

Efficiently Constructing Convex Approximation Sets in Multiobjective Optimization Problems

Stephan Helfrich, Stefan Ruzika, Clemens Thielen

Convex approximation sets for multiobjective optimization problems are a well-studied relaxation of the common notion of approximation sets. Instead of approximating each image of…

math.OC2023

Using Scalarizations for the Approximation of Multiobjective Optimization Problems: Towards a General Theory

Stephan Helfrich, Arne Herzel, Stefan Ruzika +1

We study the approximation of general multiobjective optimization problems with the help of scalarizations. Existing results state that multiobjective minimization problems can be…

math.OC2023

Approximating Multiobjective Optimization Problems: How exact can you be?

Cristina Bazgan, Arne Herzel, Stefan Ruzika +2

It is well known that, under very weak assumptions, multiobjective optimization problems admit -approximation sets (also called -P…

math.OC2023★ 120 cited

Operational Research: Methods and Applications

Fotios Petropoulos, Gilbert Laporte, Emel Aktas +79

Throughout its history, Operational Research has evolved to include a variety of methods, models and algorithms that have been applied to a diverse and wide range of contexts. This…

math.OC2021

Approximating Biobjective Minimization Problems Using General Ordering Cones

Arne Herzel, Stephan Helfrich, Stefan Ruzika +1

This article investigates the approximation quality achievable for biobjective minimization problems with respect to the Pareto cone by solutions that are (approximately) optimal w…

math.OC2021

An Approximation Algorithm for a General Class of Multi-Parametric Optimization Problems

Stephan Helfrich, Arne Herzel, Stefan Ruzika +1

In a widely-studied class of multi-parametric optimization problems, the objective value of each solution is an affine function of real-valued parameters. Then, the goal is to prov…

cs.DS2019

One-Exact Approximate Pareto Sets

Arne Herzel, Cristina Bazgan, Stefan Ruzika +2

Papadimitriou and Yannakakis show that the polynomial-time solvability of a certain singleobjective problem determines the class of multiobjective optimization problems that admit…

cs.DS2019★ 4 cited

The Power of the Weighted Sum Scalarization for Approximating Multiobjective Optimization Problems

Cristina Bazgan, Stefan Ruzika, Clemens Thielen +1

We determine the power of the weighted sum scalarization with respect to the computation of approximations for general multiobjective minimization and maximization problems. Additi…

math.OC2019★ 3 cited

The Product Knapsack Problem: Approximation and Complexity

Ulrich Pferschy, Joachim Schauer, Clemens Thielen

We consider the product knapsack problem, which is the variant of the classical 0-1 knapsack problem where the objective consists of maximizing the product of the profits of the se…

math.OC2017★ 10 cited

A General Approximation Method for Bicriteria Minimization Problems

Pascal Halffmann, Stefan Ruzika, Clemens Thielen +1

We present a general technique for approximating bicriteria minimization problems with positive-valued, polynomially computable objective functions. Given and a polynomi…

cs.DS2016★ 1 cited

On the Complexity and Approximability of Budget-Constrained Minimum Cost Flows

Michael Holzhauser, Sven O. Krumke, Clemens Thielen

We investigate the complexity and approximability of the budget-constrained minimum cost flow problem, which is an extension of the traditional minimum cost flow problem by a secon…

cs.DS2016★ 13 cited

A Network Simplex Method for the Budget-Constrained Minimum Cost Flow Problem

Michael Holzhauser, Sven O. Krumke, Clemens Thielen

We present a specialized network simplex algorithm for the budget-constrained minimum cost flow problem, which is an extension of the traditional minimum cost flow problem by a sec…

cs.CC2009

Complexity of Strong Implementability

Clemens Thielen, Sven O. Krumke

We consider the question of implementability of a social choice function in a classical setting where the preferences of finitely many selfish individuals with private information…