Certified Constraint Propagation and Dual Proof Analysis in a Numerically Exact MIP Solver
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916168217919488 |
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| author | Borst, Sander Eifler, Leon Gleixner, Ambros |
| author_facet | Borst, Sander Eifler, Leon Gleixner, Ambros |
| contents | This paper presents the integration of constraint propagation and dual proof analysis in an exact, roundoff-error-free MIP solver. The authors employ safe rounding methods to ensure that all results remain provably correct, while sacrificing as little computational performance as possible in comparison to a pure floating-point implementation. The study also addresses the adaptation of certification techniques for correctness verification. Computational studies demonstrate the effectiveness of these techniques, showcasing a 23% performance improvement on the MIPLIB 2017 benchmark test set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13567 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Certified Constraint Propagation and Dual Proof Analysis in a Numerically Exact MIP Solver Borst, Sander Eifler, Leon Gleixner, Ambros Optimization and Control This paper presents the integration of constraint propagation and dual proof analysis in an exact, roundoff-error-free MIP solver. The authors employ safe rounding methods to ensure that all results remain provably correct, while sacrificing as little computational performance as possible in comparison to a pure floating-point implementation. The study also addresses the adaptation of certification techniques for correctness verification. Computational studies demonstrate the effectiveness of these techniques, showcasing a 23% performance improvement on the MIPLIB 2017 benchmark test set. |
| title | Certified Constraint Propagation and Dual Proof Analysis in a Numerically Exact MIP Solver |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2403.13567 |