A Parametric, Second-Order Cone Representable Model of Fairness for Decision-Making Problems
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909418376921088 |
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| author | Sundar, Kaarthik Deka, Deepjyoti Bent, Russell |
| author_facet | Sundar, Kaarthik Deka, Deepjyoti Bent, Russell |
| contents | The article develops a parametric model of fairness called "$\varepsilon$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05143 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Parametric, Second-Order Cone Representable Model of Fairness for Decision-Making Problems Sundar, Kaarthik Deka, Deepjyoti Bent, Russell Optimization and Control Computers and Society The article develops a parametric model of fairness called "$\varepsilon$-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. |
| title | A Parametric, Second-Order Cone Representable Model of Fairness for Decision-Making Problems |
| topic | Optimization and Control Computers and Society |
| url | https://arxiv.org/abs/2412.05143 |