---
_id: '8750'
abstract:
- lang: eng
text: In this article we propose a descent method for equality and inequality constrained
multiobjective optimization problems (MOPs) which generalizes the steepest descent
method for unconstrained MOPs by Fliege and Svaiter to constrained problems by
using two active set strategies. Under some regularity assumptions on the problem,
we show that accumulation points of our descent method satisfy a necessary condition
for local Pareto optimality. Finally, we show the typical behavior of our method
in a numerical example.
author:
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
citation:
ama: 'Gebken B, Peitz S, Dellnitz M. A Descent Method for Equality and Inequality
Constrained Multiobjective Optimization Problems. In: Numerical and Evolutionary
Optimization – NEO 2017. Cham; 2018. doi:10.1007/978-3-319-96104-0_2'
apa: Gebken, B., Peitz, S., & Dellnitz, M. (2018). A Descent Method for Equality
and Inequality Constrained Multiobjective Optimization Problems. In Numerical
and Evolutionary Optimization – NEO 2017. Cham. https://doi.org/10.1007/978-3-319-96104-0_2
bibtex: '@inproceedings{Gebken_Peitz_Dellnitz_2018, place={Cham}, title={A Descent
Method for Equality and Inequality Constrained Multiobjective Optimization Problems},
DOI={10.1007/978-3-319-96104-0_2},
booktitle={Numerical and Evolutionary Optimization – NEO 2017}, author={Gebken,
Bennet and Peitz, Sebastian and Dellnitz, Michael}, year={2018} }'
chicago: Gebken, Bennet, Sebastian Peitz, and Michael Dellnitz. “A Descent Method
for Equality and Inequality Constrained Multiobjective Optimization Problems.”
In Numerical and Evolutionary Optimization – NEO 2017. Cham, 2018. https://doi.org/10.1007/978-3-319-96104-0_2.
ieee: B. Gebken, S. Peitz, and M. Dellnitz, “A Descent Method for Equality and Inequality
Constrained Multiobjective Optimization Problems,” in Numerical and Evolutionary
Optimization – NEO 2017, 2018.
mla: Gebken, Bennet, et al. “A Descent Method for Equality and Inequality Constrained
Multiobjective Optimization Problems.” Numerical and Evolutionary Optimization
– NEO 2017, 2018, doi:10.1007/978-3-319-96104-0_2.
short: 'B. Gebken, S. Peitz, M. Dellnitz, in: Numerical and Evolutionary Optimization
– NEO 2017, Cham, 2018.'
conference:
name: 'NEO 2017: Numerical and Evolutionary Optimization'
date_created: 2019-03-29T13:26:47Z
date_updated: 2022-01-06T07:04:00Z
department:
- _id: '101'
doi: 10.1007/978-3-319-96104-0_2
language:
- iso: eng
place: Cham
publication: Numerical and Evolutionary Optimization – NEO 2017
publication_identifier:
isbn:
- '9783319961033'
- '9783319961040'
issn:
- 1860-949X
- 1860-9503
publication_status: published
status: public
title: A Descent Method for Equality and Inequality Constrained Multiobjective Optimization
Problems
type: conference
user_id: '47427'
year: '2018'
...