@article{10596,
  abstract     = {{Multi-objective optimization is an active field of research that has many applications. Owing to its success and because decision-making processes are becoming more and more complex, there is a recent trend for incorporating many objectives into such problems. The challenge with such problems, however, is that the dimensions of the solution sets—the so-called Pareto sets and fronts—grow with the number of objectives. It is thus no longer possible to compute or to approximate the entire solution set of a given problem that contains many (e.g. more than three) objectives. On the other hand, the computation of single solutions (e.g. via scalarization methods) leads to unsatisfying results in many cases, even if user preferences are incorporated. In this article, the Pareto Explorer tool is presented—a global/local exploration tool for the treatment of many-objective optimization problems (MaOPs). In the first step, a solution of the problem is computed via a global search algorithm that ideally already includes user preferences. In the second step, a local search along the Pareto set/front of the given MaOP is performed in user specified directions. For this, several continuation-like procedures are proposed that can incorporate preferences defined in decision, objective, or in weight space. The applicability and usefulness of Pareto Explorer is demonstrated on benchmark problems as well as on an application from industrial laundry design.}},
  author       = {{Schütze, Oliver and Cuate, Oliver and Martín, Adanay and Peitz, Sebastian and Dellnitz, Michael}},
  issn         = {{0305-215X}},
  journal      = {{Engineering Optimization}},
  number       = {{5}},
  pages        = {{832--855}},
  title        = {{{Pareto Explorer: a global/local exploration tool for many-objective optimization problems}}},
  doi          = {{10.1080/0305215x.2019.1617286}},
  volume       = {{52}},
  year         = {{2020}},
}

@article{16659,
  author       = {{Ringkamp, Maik and Ober-Blöbaum, Sina and Dellnitz, Michael and Schütze, Oliver}},
  issn         = {{0305-215X}},
  journal      = {{Engineering Optimization}},
  pages        = {{1117--1146}},
  title        = {{{Handling high-dimensional problems with multi-objective continuation methods via successive approximation of the tangent space}}},
  doi          = {{10.1080/0305215x.2011.634407}},
  year         = {{2012}},
}

@article{16669,
  author       = {{Schütze, Oliver and Vasile, Massimiliano and Junge, Oliver and Dellnitz, Michael and Izzo, Dario}},
  issn         = {{0305-215X}},
  journal      = {{Engineering Optimization}},
  pages        = {{155--181}},
  title        = {{{Designing optimal low-thrust gravity-assist trajectories using space pruning and a multi-objective approach}}},
  doi          = {{10.1080/03052150802391734}},
  year         = {{2009}},
}

@article{16667,
  author       = {{Schütze, Oliver and Coello Coello, Carlos A. and Mostaghim, Sanaz and Talbi, El-Ghazali and Dellnitz, Michael}},
  issn         = {{0305-215X}},
  journal      = {{Engineering Optimization}},
  pages        = {{383--402}},
  title        = {{{Hybridizing evolutionary strategies with continuation methods for solving multi-objective problems}}},
  doi          = {{10.1080/03052150701821328}},
  year         = {{2008}},
}