A Parametric, second-order cone representable model of fairness for decision-making problems
Name
11081_2024_9946_ReferencePDF.pdf
Size
944.96 KB
Format
Adobe PDF
Checksum (MD5)
740da0c7bc07770a6f87493546db9318
Author(s)
Sundar, Kaarthik
Deka, Deepjyoti
Bent, Russell
Date Issued
April 10, 2025
Journal
Optimization and Engineering
Publisher
Springer US
Citation
Sundar, K., Deka, D. & Bent, R. A Parametric, second-order cone representable model of fairness for decision-making problems. Optim Eng 26, 2065–2080 (2025).
Version
Author's final manuscript
Abstract
The article develops a parametric model of fairness called “ ε -fairness” that can be represented using a single second-order cone constraint and incorporated into existing decision-making problem formulations without impacting the complexity of solution techniques. We develop the model from the fundamental result of finite-dimensional norm equivalence in linear algebra and show that this model has a closed-form relationship to an existing metric for measuring fairness widely used in the literature. Finally, a simple case study on the optimal operation of a damaged power transmission network illustrates its effectiveness.
MIT Department
MIT Energy Initiative
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s11081-024-09946-9
