On the convergence of computational methods for the online bin stretching problem
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912443083522048 |
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| author | Lhomme, Antoine Catusse, Nicolas Brauner, Nadia |
| author_facet | Lhomme, Antoine Catusse, Nicolas Brauner, Nadia |
| contents | Online bin stretching is an online packing problem where some of the best known lower and upper bounds were found through computational searches. The limiting factor in obtaining better bounds with such methods is the computational time allowed. However, there is still no theoretical guarantee that such methods do converge towards the optimal online performance. This paper shows that such methods do, in fact, converge; moreover, bounds on the gap to the optimal are also given. These results frame a theoretical foundation for the convergence of computational approaches for online problems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_17271 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the convergence of computational methods for the online bin stretching problem Lhomme, Antoine Catusse, Nicolas Brauner, Nadia Optimization and Control Discrete Mathematics Computer Science and Game Theory 90-XX Online bin stretching is an online packing problem where some of the best known lower and upper bounds were found through computational searches. The limiting factor in obtaining better bounds with such methods is the computational time allowed. However, there is still no theoretical guarantee that such methods do converge towards the optimal online performance. This paper shows that such methods do, in fact, converge; moreover, bounds on the gap to the optimal are also given. These results frame a theoretical foundation for the convergence of computational approaches for online problems. |
| title | On the convergence of computational methods for the online bin stretching problem |
| topic | Optimization and Control Discrete Mathematics Computer Science and Game Theory 90-XX |
| url | https://arxiv.org/abs/2506.17271 |