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Robust inverse optimization
Authors:Kimia Ghobadi  Taewoo Lee  Houra Mahmoudzadeh  Daria Terekhov
Affiliation:1. Sloan School of Management, Massachusetts Institute of Technology, Cambridge, MA, USA;2. Department of Industrial Engineering, University of Houston, Houston, TX, USA;3. Department of Management Sciences, University of Waterloo, Waterloo, ON, Canada;4. Department of Mechanical, Industrial and Aerospace Engineering, Concordia University, Montréal, QC, Canada
Abstract:Given an observation of a decision-maker’s uncertain behavior, we develop a robust inverse optimization model for imputing an objective function that is robust against mis-specifications of the behavior. We characterize the inversely optimized cost vectors for uncertainty sets that may or may not intersect the feasible region, and propose tractable solution methods for special cases. We demonstrate the proposed model in the context of diet recommendation.
Keywords:Inverse optimization  Robust optimization  Dietary recommendation
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