cuPDLP-C: A Strengthened Implementation of cuPDLP for Linear Programming by C language Article Swipe
Haihao Lu
,
Jinwen Yang
,
Haodong Hu
,
Qi Huangfu
,
Jinsong Liu
,
Tianhao Liu
,
Yinyu Ye
,
Chuwen Zhang
,
Dongdong Ge
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2312.14832
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2312.14832
A recent GPU implementation of the Restarted Primal-Dual Hybrid Gradient Method for Linear Programming was proposed in Lu and Yang (2023). Its computational results demonstrate the significant computational advantages of the GPU-based first-order algorithm on certain large-scale problems. The average performance also achieves a level close to commercial solvers for the first time in history. However, due to limitations in experimental hardware and the disadvantage of implementing the algorithm in Julia compared to C language, neither the commercial solver nor cuPDLP reached their maximum efficiency. Therefore, in this report, we have re-implemented and optimized cuPDLP in C language. Utilizing state-of-the-art CPU and GPU hardware, we extensively compare cuPDLP with the best commercial solvers. The experiments further highlight its substantial computational advantages and potential for solving large-scale linear programming problems. We also discuss the profound impact this breakthrough may have on mathematical programming research and the entire operations research community.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2312.14832
- https://arxiv.org/pdf/2312.14832
- OA Status
- green
- Cited By
- 1
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4390215308
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4390215308Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2312.14832Digital Object Identifier
- Title
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cuPDLP-C: A Strengthened Implementation of cuPDLP for Linear Programming by C languageWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
-
2023-12-22Full publication date if available
- Authors
-
Haihao Lu, Jinwen Yang, Haodong Hu, Qi Huangfu, Jinsong Liu, Tianhao Liu, Yinyu Ye, Chuwen Zhang, Dongdong GeList of authors in order
- Landing page
-
https://arxiv.org/abs/2312.14832Publisher landing page
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https://arxiv.org/pdf/2312.14832Direct link to full text PDF
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2312.14832Direct OA link when available
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Computer science, Solver, Linear programming, Parallel computing, Dual (grammatical number), Scale (ratio), Computational science, Programming language, Mathematical optimization, Algorithm, Mathematics, Literature, Quantum mechanics, Physics, ArtTop concepts (fields/topics) attached by OpenAlex
- Cited by
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1Total citation count in OpenAlex
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2024: 1Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.Primal-Dual | 7 |
| abstract_inverted_index.Programming | 13 |
| abstract_inverted_index.demonstrate | 24 |
| abstract_inverted_index.efficiency. | 84 |
| abstract_inverted_index.experiments | 114 |
| abstract_inverted_index.extensively | 105 |
| abstract_inverted_index.first-order | 32 |
| abstract_inverted_index.large-scale | 36, 125 |
| abstract_inverted_index.limitations | 58 |
| abstract_inverted_index.performance | 40 |
| abstract_inverted_index.programming | 127, 141 |
| abstract_inverted_index.significant | 26 |
| abstract_inverted_index.substantial | 118 |
| abstract_inverted_index.breakthrough | 136 |
| abstract_inverted_index.disadvantage | 64 |
| abstract_inverted_index.experimental | 60 |
| abstract_inverted_index.implementing | 66 |
| abstract_inverted_index.mathematical | 140 |
| abstract_inverted_index.computational | 22, 27, 119 |
| abstract_inverted_index.implementation | 3 |
| abstract_inverted_index.re-implemented | 91 |
| abstract_inverted_index.state-of-the-art | 99 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 9 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/9 |
| sustainable_development_goals[0].score | 0.4300000071525574 |
| sustainable_development_goals[0].display_name | Industry, innovation and infrastructure |
| citation_normalized_percentile |