We establish a relationship between the robust counterpart of an uncertain cone-convex vector problem and the optimistic counterpart of its uncertain dual. Along the line marked by Beck and Ben-Tal (2009) in the scalar case, we show that operating in the primal problem with a pessimistic view is equivalent to operating with an optimistic approach in its dual.
Primal worst and dual best in robust vector optimization
Lorenzo Cerboni Baiardi
Secondo
;
2019-01-01
Abstract
We establish a relationship between the robust counterpart of an uncertain cone-convex vector problem and the optimistic counterpart of its uncertain dual. Along the line marked by Beck and Ben-Tal (2009) in the scalar case, we show that operating in the primal problem with a pessimistic view is equivalent to operating with an optimistic approach in its dual.File in questo prodotto:
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CerboniCaprariMolhoRevised2.pdf
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Primal worst_version of record.pdf
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