Optimization-Based Scenario Reduction for Data-Driven Two-Stage Stochastic Optimization
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2020-mundru-optimization-based-scenario-reduction.pdf
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Submitted version
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442.42 KB
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Author(s) •
Bertsimas, Dimitris
Mundru, Nishanth
Date Issued
April 4, 2022
Journal
Operations Research
Publisher
Institute for Operations Research and the Management Sciences (INFORMS)
Citation
Bertsimas, Dimitris and Mundru, Nishanth. 2022. "Optimization-Based Scenario Reduction for Data-Driven Two-Stage Stochastic Optimization." Operations Research.
Version
Original manuscript
Abstract
In the field of data-driven optimization under uncertainty, scenario reduction is a commonly used technique for computing a smaller number of scenarios to improve computational tractability and interpretability. However traditional approaches do not consider the decision quality when computing these scenarios. In “Optimization-Based Scenario Reduction for Data-Driven Two-Stage Stochastic Optimization,” Bertsimas and Mundru present a novel optimization-based method that explicitly considers the objective and problem structure for reducing the number of scenarios needed for solving two-stage stochastic optimization problems. This new proposed method is generally applicable and has significantly better performance when the number of reduced scenarios is 1%–2% of the full sample size compared with other state-of-the-art optimization and randomization methods, which suggests this improves both tractability and interpretability.
MIT Department
Sloan School of Management
Massachusetts Institute of Technology. Operations Research Center
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1287/opre.2022.2265