Summary
This is a lexmaxmin extension of some results on linear maxmin programming recently obtained by Posner and Wu, Kaplan, Gupta and Arora, and Kabe. The findings of these authors will be combined with previous results by the author of the present paper to give further insight into the interrelation between optimization with respect to maxmin, Pareto, and lexmaxmin.
Zusammenfassung
Diese Arbeit enthält Lexmaxmin-Erweiterungen einiger jüngerer Ergebnisse von Posner und Wu, von Kaplan, von Gupta und Arora und von Kabe über lineare Maxmin-Probleme. Die Beobachtungen der genannten Autoren werden mit früheren Ergebnissen des Autors der vorliegenden Arbeit mit dem Ziel vereint, weitere Einsichten in den Zusammenhang zwischen Maxmin-, Pareto- und Lexmaxmin-Optimierung zu vermitteln.
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Behringer, F.A. Linear multiobjective maxmin optimization and some Pareto and lexmaxmin extensions. OR Spektrum 8, 25–32 (1986). https://doi.org/10.1007/BF01720769
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DOI: https://doi.org/10.1007/BF01720769