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Duality in robust optimization: Primal worst equals dual best
Authors:Amir Beck  Aharon Ben-Tal
Institution:Department of Industrial Engineering and Management, Technion—Israel Institute of Technology, Haifa 32000, Israel
Abstract:We study the dual problems associated with the robust counterparts of uncertain convex programs. We show that while the primal robust problem corresponds to a decision maker operating under the worst possible data, the dual problem corresponds to a decision maker operating under the best possible data.
Keywords:Robust optimization  Optimistic counterpart  Convex programming duality
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