Lexicographic α-robustness : an alternative to min-maxcriteria
Kalaï, Rim; Lamboray, Claude; Vanderpooten, Daniel (2012), Lexicographic α-robustness : an alternative to min-maxcriteria, European Journal of Operational Research, 220, 3, p. 722-728. http://dx.doi.org/10.1016/j.ejor.2012.01.056
TypeArticle accepté pour publication ou publié
Journal nameEuropean Journal of Operational Research
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Abstract (EN)Robustness in Operations Research/Decision Aid is often associated with min-max and min-max regret criteria. This common approach to determine robust solutions consists in finding a solution which minimizes the maximal cost or regret. Nevertheless, these criteria are known to be too conservative. In this paper, we present and study a new robustness approach, called lexicographic α-robustness, which compensates for this major drawback and many others. Furthermore, we establish a link between lexicographic α-robustness and a third robustness approach called p-robustness.
Subjects / KeywordsRobustness; Uncertainty modelling; Min-max cost/regret; Scenarios; Preference relations
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