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• W2109777190 abstract "The use of a stochastic dominance constraint to specify risk preferences in a stochastic program has been recently proposed in the literature. Such a constraint requires the random outcome resulting from one’s decision to stochastically dominate a given random comparator. These ideas have been extended to problems with multiple random outcomes, using the notion of positive linear stochastic dominance. This article proposes a constraint using a different version of multivariate stochastic dominance. This version is natural due to its connection to expected utility maximization theory and relatively tractable. In particular, it is shown that such a constraint can be formulated with linear constraints for the second-order dominance relation and with mixed-integer constraints for the first-order relation. This is in contrast with a constraint on second-order positive linear dominance, for which no efficient algorithms are known. The proposed formulations are tested in the context of two applications: budget allocation in a setting with multiple objectives and finding radiation treatment plans in the presence of organ motion." @default.
• W2109777190 created "2016-06-24" @default.
• W2109777190 creator A5035469433 @default.
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• W2109777190 date "2014-09-29" @default.
• W2109777190 modified "2023-09-23" @default.
• W2109777190 title "Models and formulations for multivariate dominance-constrained stochastic programs" @default.
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• W2109777190 doi "https://doi.org/10.1080/0740817x.2014.889336" @default.
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