activity
20192026
most citedThe robust bilevel continuous knapsack problem with uncertain coefficients in the follower's objective

10 citations · 38 across the 10 of their papers we have counts for

collaborators

11 papers

math.OC2026

The complexity landscape of robust (integer) linear programming

Michael Poss, Jannis Kurtz, Marc Goerigk +1

We study the computational complexity of the decision versions of three classic robust optimization problems: static robust optimization, two-stage (adjustable) robust optimization…

math.OC2026

A Robust Optimization Approach for Scheduling with Uncertain Start-Time Dependent Costs

Sofía Rodríguez-Ballesteros, Javier Alcaraz, Laura Anton-Sanchez +2

In this work, we study a single-machine scheduling problem that aims at minimizing the total cost of a schedule subject to start-time dependent costs. This framework naturally capt…

cs.DS2024★ 2 cited

On the Complexity of the Bilevel Shortest Path Problem

Dorothee Henke, Lasse Wulf

We introduce a new bilevel version of the classic shortest path problem and completely characterize its computational complexity with respect to several problem variants. In our pr…

math.OC2024

On Coupling Constraints in Linear Bilevel Optimization

Dorothee Henke, Henri Lefebvre, Martin Schmidt +1

It is well-known that coupling constraints in linear bilevel optimization can lead to disconnected feasible sets, which is not possible without coupling constraints. However, there…

math.OC2024★ 1 cited

The Robust Bilevel Selection Problem

Dorothee Henke

In bilevel optimization problems, a leader and a follower make their decisions in a hierarchy, and both decisions may influence each other. Usually one assumes that both players ha…

math.OC2022★ 1 cited

Partitioned vs. Integrated Planning of Hinterland Networks for LCL Transportation

Niklas Jost, Dorothee Henke, Ivo Hedtke +4

Utilizing existing transportation networks better and designing (parts of) networks involves routing decisions to minimize transportation costs and maximize consolidation effects.…

cs.DS2021★ 4 cited

Faster Goal-Oriented Shortest Path Search for Bulk and Incremental Detailed Routing

Markus Ahrens, Dorothee Henke, Stefan Rabenstein +1

We develop new algorithmic techniques for VLSI detailed routing. First, we improve the goal-oriented version of Dijkstra's algorithm to find shortest paths in huge incomplete grid…

cs.DS2021★ 7 cited

The Stochastic Bilevel Continuous Knapsack Problem with Uncertain Follower's Objective

Christoph Buchheim, Dorothee Henke, Jannik Irmai

We consider a bilevel continuous knapsack problem where the leader controls the capacity of the knapsack, while the follower chooses a feasible packing maximizing his own profit. T…

math.OC2021★ 9 cited

On the Complexity of Robust Bilevel Optimization With Uncertain Follower's Objective

Christoph Buchheim, Dorothee Henke, Felix Hommelsheim

We investigate the complexity of bilevel combinatorial optimization with uncertainty in the follower's objective, in a robust optimization approach. We show that the robust counter…

cs.DS2020★ 4 cited

On the Complexity of the Bilevel Minimum Spanning Tree Problem

Christoph Buchheim, Dorothee Henke, Felix Hommelsheim

We consider the bilevel minimum spanning tree (BMST) problem where the leader and the follower choose a spanning tree together, according to different objective functions. By showi…

cs.DS2019★ 10 cited

The robust bilevel continuous knapsack problem with uncertain coefficients in the follower's objective

Christoph Buchheim, Dorothee Henke

We consider a bilevel continuous knapsack problem where the leader controls the capacity of the knapsack and the follower chooses an optimal packing according to his own profits, w…