Efficient computation of the search region in multi-objective optimization
University of Wuppertal –
Multi-objective optimization methods often proceed by iteratively producing new solutions. For this purpose it is important to determine and update the search region efficiently. It corresponds to the part of the objective space where new nondominated points could lie and can be described by a set of so-called local upper bounds whose components are defined by already known nondominated points. In the bi-objective case the update of the search region is easy since a new point can dominate only one local upper bound. Moreover, the local upper bounds as well as the nondominated points can be kept sorted increasingly with respect to one objective and decreasingly with respect to the other.
For more than two objectives these properties do no longer hold. In particular, several local upper bounds might have to be updated at once when a new nondominated point is inserted into the search region. In this talk we concentrate on how to design this update efficiently. Therefore we study a specific neighborhood structure among local upper bounds. Thanks to this structure we can quickly identify all local upper bounds that are affected by a new nondominated point, i.e. that have to be updated. We propose a new scheme to update the search region with respect to a new point more efficiently compared to existing approaches. Besides, the neighborhood structure provides new theoretical insight into the search region and the location of nondominated points for more than two objectives (cf. Dächert, K., Klamroth, K., Lacour, R., Vanderpooten, D.: Efficient computation of the search region in multi-objective optimization, European Journal of Operational Research 260(3):841–855, 2017).
Dr. Kerstin Dächert is a Research Associate (interim lecturer position) at the Department of Mathematics and Informatics, University of Wuppertal, Germany. Her interests include multicriteria optimization, combinatorial optimization and applications of operations research, e.g. in energy economics.
Date: 2017-Sep-14 Time: 11:00:00 Room: 336
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David Posada, University of Vigo (class)
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See the preliminary agenda at: https://olissipo.inesc-id.pt/tree-tango-school
Registration is mandatory. You can register at: https://forms.gle/VsASFHW5E7MJvaCc9
The registration fee is 250€ for students and OLISSIPO members and 350€ for postdocs or other researchers (meals indicated at the schedule of the school are included, accommodation and flights are not). All details will be made available upon registration.
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Check online for information about past editions: LxMLS 2011, LxMLS 2012, LxMLS 2013, LxMLS 2014, LxMLS 2015, LxMLS 2016, LxMLS 2017, LxMLS 2018, LxMLS 2019, LxMLS 2020, LxMLS 2021, LxMLS 2022 (you can also watch the videos of the lectures for 2016, 2017, 2018, and 2020).
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ISD 2023 will be hosted by Instituto Superior Técnico, in Lisbon, Portugal, on August 30–September 1, 2023.