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Twenty Years of Continuous Multiobjective Optimization

Gabriele Eichfelder(gabriele.eichfelder***at***tu-ilmenau.de)

Abstract: This survey highlights some of the research topics which have attracted attention in the last two decades within the area of mathematical optimization of multiple objective functions. We give insights into topics where a huge progress can be seen within the last years. Thereby, we give short introductions to the specific sub-fields as well as some selected references for further reading. The survey covers most of all the progress in algorithm development such as publicly available solvers or approaches for new problem classes such as non-convex problems or mixed integer problems. Also bilevel optimization problems and the handling of uncertainties by robust approaches and its relation to set optimization are presented. Moreover, we discuss why also methods next to the widely spread scalarization techniques gain increasingly interest.

Keywords: multiobjective optimization, scalarization, non-convex optimization, bilevel optimization, robust optimization

Category 1: Other Topics (Multi-Criteria Optimization )

Category 2: Nonlinear Optimization

Category 3: Global Optimization

Citation:

Download: [PDF]

Entry Submitted: 12/16/2020
Entry Accepted: 12/16/2020
Entry Last Modified: 12/16/2020

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