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Inverse Optimization: Theory and Applications

Timothy C. Y. Chan¹; Rafid Mahmood²; Ian Yihang Zhu³

¹ Department of Mechanical and Industrial Engineering, University of Toronto, Ontario M5S 3G8, Canada · ² Telfer School of Management, University of Ottawa, Ottawa, Ontario K1N 6N5, Canada · ³ NUS Business School, National University of Singapore, Singapore 119245

A Review of Inverse Optimization In recent years, there has been an explosion of interest in the mathematics and applications of inverse optimization. Unlike traditional optimization, which seeks to compute optimal decisions given an objective and constraints, inverse optimization takes decisions as input and determines an objective and/or constraints that render these decisions approximately or exactly optimal. In “Inverse Optimization: Theory and Applications,” Chan, Rafid, and Zhu provide a comprehensive review of both the methodological and application-oriented literature. Specifically, the authors consolidate various model properties, reformulation techniques, and computational methods of different classes of inverse optimization problems. The authors also review a wide range of application areas that include, but are not limited to, transportation, logistics, healthcare, and energy systems. The paper concludes with several major directions for future research.

DOI

10.1287/opre.2022.0382

Volume

73 (2)

Pages

1046-1074

Language

en

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Sources

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