5 papers · 1 filter
An Adaptive Algorithm for the Approximation of General Linear-Parametric Optimization Problems
Levin Nemesch, Stefan Ruzika, Clemens Thielen +1
Linear-multi-parametric optimization problems are a widely studied class of optimization problems. The objective function in such a problem is affine linear dependent on a paramete…
A Polynomial-Time Inner Approximation Algorithm for Multi-Objective and Parametric Optimization
Levin Nemesch, Stefan Ruzika, Clemens Thielen +1
In multi-objective optimization, computing the entire non-dominated set (also known as the Pareto front or the Pareto frontier) is often intractable. However, for any multiplicativ…
Parametric Biobjective Linear Programming
Kezang Yuden, Levin Nemesch, Stefan Ruzika
We consider parametric linear programming problems with multiple objective functions depending linearly on some parameter. Both parametric (single-objective) linear programming and…
A High-Performance Parallel Algorithm for Multi-Objective Integer Optimization
Kathrin Prinz, Levin Nemesch, Stefan Ruzika
Multi-objective integer optimization problems are hard to solve, mainly because the number of nondominated images is often extremely large. We present the first exact algorithm, ca…
A Survey of Exact and Approximation Algorithms for Linear-Parametric Optimization Problems
Levin Nemesch, Stefan Ruzika, Clemens Thielen +1
Linear-parametric optimization, where multiple objectives are combined into a single objective using linear combinations with parameters as coefficients, has numerous links to othe…