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Lexicographic α-robustness: an application to the 1-median problem

R. Kalaï, M. A. Aloulou, Ph. Vallin, D. Vanderpooten (2010)

RAIRO - Operations Research

In the last decade, several robustness approaches have been developed to deal with uncertainty. In decision problems, and particularly in location problems, the most used robustness approach rely either on maximal cost or on maximal regret criteria. However, it is well known that these criteria are too conservative. In this paper, we present a new robustness approach, called lexicographic α-robustness, which compensates for the drawbacks of criteria based on the worst case. We apply this approach...

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