---
_id: '46355'
abstract:
- lang: eng
  text: "In this chapter we present the adaptions of the recently proposed Directed
    Search method to the context of unconstrained parameter dependent multi-objective
    optimization problems (PMOPs). The new method, called \U0001D706-DS, is capable
    of performing a movement both toward and along the solution set of a given differentiable
    PMOP. We first discuss the basic variants of the method that use gradient information
    and describe subsequently modifications that allow for a gradient free realization.
    Finally, we show that \U0001D706-DS can be used to understand the behavior of
    stochastic local search within PMOPs to a certain extent which might be interesting
    for the development of future local search engines, or evolutionary strategies,
    for the treatment of such problems. We underline all our statements with several
    numerical results indicating the strength of the novel approach."
author:
- first_name: Sosa Hernández V
  full_name: Adrián, Sosa Hernández V
  last_name: Adrián
- first_name: A
  full_name: Lara, A
  last_name: Lara
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
- first_name: G
  full_name: Rudolph, G
  last_name: Rudolph
- first_name: O
  full_name: Schütze, O
  last_name: Schütze
citation:
  ama: 'Adrián SHV, Lara A, Trautmann H, Rudolph G, Schütze O. The Directed Search
    Method for Unconstrained Parameter Dependent Multi-objective Optimization Problems.
    In: Schütze O, Trujillo L, Legrand P, Maldonado Y, eds. <i>NEO 15</i>. Springer
    International Publishing; 2017:281–330. doi:<a href="https://doi.org/10.1007/978-3-319-44003-3_12">10.1007/978-3-319-44003-3_12</a>'
  apa: Adrián, S. H. V., Lara, A., Trautmann, H., Rudolph, G., &#38; Schütze, O. (2017).
    The Directed Search Method for Unconstrained Parameter Dependent Multi-objective
    Optimization Problems. In O. Schütze, L. Trujillo, P. Legrand, &#38; Y. Maldonado
    (Eds.), <i>NEO 15</i> (pp. 281–330). Springer International Publishing. <a href="https://doi.org/10.1007/978-3-319-44003-3_12">https://doi.org/10.1007/978-3-319-44003-3_12</a>
  bibtex: '@inbook{Adrián_Lara_Trautmann_Rudolph_Schütze_2017, place={Cham}, title={The
    Directed Search Method for Unconstrained Parameter Dependent Multi-objective Optimization
    Problems}, DOI={<a href="https://doi.org/10.1007/978-3-319-44003-3_12">10.1007/978-3-319-44003-3_12</a>},
    booktitle={NEO 15}, publisher={Springer International Publishing}, author={Adrián,
    Sosa Hernández V and Lara, A and Trautmann, Heike and Rudolph, G and Schütze,
    O}, editor={Schütze, O and Trujillo, L and Legrand, P and Maldonado, Y}, year={2017},
    pages={281–330} }'
  chicago: 'Adrián, Sosa Hernández V, A Lara, Heike Trautmann, G Rudolph, and O Schütze.
    “The Directed Search Method for Unconstrained Parameter Dependent Multi-Objective
    Optimization Problems.” In <i>NEO 15</i>, edited by O Schütze, L Trujillo, P Legrand,
    and Y Maldonado, 281–330. Cham: Springer International Publishing, 2017. <a href="https://doi.org/10.1007/978-3-319-44003-3_12">https://doi.org/10.1007/978-3-319-44003-3_12</a>.'
  ieee: 'S. H. V. Adrián, A. Lara, H. Trautmann, G. Rudolph, and O. Schütze, “The
    Directed Search Method for Unconstrained Parameter Dependent Multi-objective Optimization
    Problems,” in <i>NEO 15</i>, O. Schütze, L. Trujillo, P. Legrand, and Y. Maldonado,
    Eds. Cham: Springer International Publishing, 2017, pp. 281–330.'
  mla: Adrián, Sosa Hernández V., et al. “The Directed Search Method for Unconstrained
    Parameter Dependent Multi-Objective Optimization Problems.” <i>NEO 15</i>, edited
    by O Schütze et al., Springer International Publishing, 2017, pp. 281–330, doi:<a
    href="https://doi.org/10.1007/978-3-319-44003-3_12">10.1007/978-3-319-44003-3_12</a>.
  short: 'S.H.V. Adrián, A. Lara, H. Trautmann, G. Rudolph, O. Schütze, in: O. Schütze,
    L. Trujillo, P. Legrand, Y. Maldonado (Eds.), NEO 15, Springer International Publishing,
    Cham, 2017, pp. 281–330.'
date_created: 2023-08-04T15:01:27Z
date_updated: 2023-10-16T13:34:49Z
department:
- _id: '34'
- _id: '819'
doi: 10.1007/978-3-319-44003-3_12
editor:
- first_name: O
  full_name: Schütze, O
  last_name: Schütze
- first_name: L
  full_name: Trujillo, L
  last_name: Trujillo
- first_name: P
  full_name: Legrand, P
  last_name: Legrand
- first_name: Y
  full_name: Maldonado, Y
  last_name: Maldonado
language:
- iso: eng
page: 281–330
place: Cham
publication: NEO 15
publication_identifier:
  isbn:
  - 978-3-319-44003-3
publisher: Springer International Publishing
status: public
title: The Directed Search Method for Unconstrained Parameter Dependent Multi-objective
  Optimization Problems
type: book_chapter
user_id: '15504'
year: '2017'
...