Connections between single-level and bilevel multiobjective optimization
Ruuska, S., Miettinen, K., & Wiecek, M. M. (2012). Connections between single-level and bilevel multiobjective optimization. Journal of Optimization Theory and Applications, 153(1), 60-74. https://doi.org/10.1007/s10957-011-9943-y
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Journal of Optimization Theory and ApplicationsDate
2012Copyright
© Springer. This is an author's final draft version of an article whose final and definitive form has been published by Springer.
The relationship between bilevel optimization and multiobjective optimization has been studied by several authors, and there have been repeated attempts to establish a link between the two. We unify the results from the literature and generalize them for bilevel multiobjective optimization. We formulate sufficient conditions for an arbitrary binary relation to guarantee equality between the efficient set produced by the relation and the set of optimal solutions to a bilevel problem. In addition, we present specially structured bilevel multiobjective optimization problems motivated by real-life applications and an accompanying binary relation permitting their reduction to single-level multiobjective optimization problems.
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SpringerISSN Search the Publication Forum
0022-3239
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http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/s10957-011-9943-yPublication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/21465765
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