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20182022
most citedA simple and efficient dichotomic search algorithm for multi-objective mixed integer linear programs

3 citations · 6 across the 6 of their papers we have counts for

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math.OC20223 cited

Consensus-Based Optimization for Multi-Objective Problems: A Multi-Swarm Approach

Kathrin Klamroth, Michael Stiglmayr, Claudia Totzeck

We propose a multi-swarm approach to approximate the Pareto front of general multi-objective optimization problems that is based on the Consensus-based Optimization method (CBO). T…

math.OC2022

Ordinal Optimization Through Multi-objective Reformulation

Kathrin Klamroth, Michael Stiglmayr, Julia Sudhoff

We analyze combinatorial optimization problems with ordinal, i.e., non-additive, objective functions that assign categories (like good, medium and bad) rather than cost coefficient…

math.OC2020

Tracing locally Pareto optimal points by numerical integration

Matthias Bolten, Onur Tanil Doganay, Hanno Gottschalk +1

We suggest a novel approach for the efficient and reliable approximation of the Pareto front of sufficiently smooth unconstrained bi-criteria optimization problems. Optimality cond…

math.OC2020

GivEn -- Shape Optimization for Gas Turbines in Volatile Energy Networks

Jan Backhaus, Matthias Bolten, Onur Tanil Doganay +19

This paper describes the project GivEn that develops a novel multicriteria optimization process for gas turbine blades and vanes using modern "adjoint" shape optimization algorithm…

math.OC20193 cited

A simple and efficient dichotomic search algorithm for multi-objective mixed integer linear programs

Anthony Przybylski, Kathrin Klamroth, Renaud Lacour

We present a simple and at the same time fficient algorithm to compute all nondominated extreme points in the outcome set of multi-objective mixed integer linear programmes in any…

math.OC2019

Gradient Based Biobjective Shape Optimization to Improve Reliability and Cost of Ceramic Components

Onur T. Doganay, Hanno Gottschalk, Camilla Hahn +3

We consider the simultaneous optimization of the reliability and the cost of a ceramic component in a biobjective PDE constrained shape optimization problem. A probabilistic Weibul…