Abstract
In this paper, efficient and weakly efficient points of a set are characterized by an optimization problem with a parameter in the bottleneck objective function. The investigation of the structure of the parameter set leads to a necessary and sufficient criterion for the non-emptiness of the set of efficient points. The continuous dependence of the optimization problem on the parameter is investigated. Finally, the results are applied to a scalarization of multi-objective optimization problems.
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References
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© 1987 Springer-Verlag Berlin Heidelberg
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Helbig, S. (1987). Parametric Optimization with a Bottleneck Objective and Vector Optimization. In: Jahn, J., Krabs, W. (eds) Recent Advances and Historical Development of Vector Optimization. Lecture Notes in Economics and Mathematical Systems, vol 294. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46618-2_9
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DOI: https://doi.org/10.1007/978-3-642-46618-2_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18215-3
Online ISBN: 978-3-642-46618-2
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