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A converse duality theorem in multiple objective programming
Affiliation:1. Professor, Division of Management Consulting, Department of Anesthesia, University of Iowa, USA;2. Professor, Department of Anesthesiology, Perioperative Medicine and Pain Management, University of Miami, USA;3. Vice Chair of Clinical Operations, Department of Anesthesia, University of Iowa, USA
Abstract:Recently the author has given a duality theorem in multiple objective programming relating properly efficient solutions of the primal and dual problems. In this note the converse of that theorem is given showing that, under certain assumptions, a properly efficient solution of the dual is also a properly efficient solution of the primal.
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