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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.01075 |
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| _version_ | 1866908463100067840 |
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| author | Hu, Xiaomeng Nie, Jiawang Zhong, Suhan |
| author_facet | Hu, Xiaomeng Nie, Jiawang Zhong, Suhan |
| contents | This paper studies generalized semi-infinite programs (GSIPs) defined with polyhedral parameter sets. Assume these GSIPs are given by polynomials. We propose a new approach to solve them as a disjunctive program. This approach is based on the Karush-Kuhn-Tucker (KKT) conditions of the robust constraint and a technique called partial Lagrange multiplier expressions. We summarize a semidefinite algorithm and study its convergence properties. Numerical experiments are given to show the efficiency of our method. In addition, we checked its performance in gemstone cutting and robust control applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01075 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A global approach for generalized semi-infinte programs with polyhedral parameter sets Hu, Xiaomeng Nie, Jiawang Zhong, Suhan Optimization and Control This paper studies generalized semi-infinite programs (GSIPs) defined with polyhedral parameter sets. Assume these GSIPs are given by polynomials. We propose a new approach to solve them as a disjunctive program. This approach is based on the Karush-Kuhn-Tucker (KKT) conditions of the robust constraint and a technique called partial Lagrange multiplier expressions. We summarize a semidefinite algorithm and study its convergence properties. Numerical experiments are given to show the efficiency of our method. In addition, we checked its performance in gemstone cutting and robust control applications. |
| title | A global approach for generalized semi-infinte programs with polyhedral parameter sets |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2502.01075 |