arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2511.18580math.OC
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SCIP优化套件10.0

The SCIP Optimization Suite 10.0

Christopher Hojny, Mathieu Besançon, Ksenia Bestuzheva, Sander Borst, João Dionísio, Johannes Ehls, Leon Eifler, Mohammed Ghannam, Ambros Gleixner, Adrian Göß, … 展开作者

Christopher Hojny, Mathieu Besançon, Ksenia Bestuzheva, Sander Borst, João Dionísio, Johannes Ehls, Leon Eifler, Mohammed Ghannam, Ambros Gleixner, Adrian Göß, Alexander Hoen, Jacob von Holly-Ponientzietz, Rolf van der Hulst, Dominik Kamp, Thorsten Koch, Kevin Kofler, Jurgen Lentz, Marco Lübbecke, Stephen J. Maher, Paul Matti Meinhold, Gioni Mexi, Til Mohr, Erik Mühmer, Krunal Kishor Patel, Marc E. Pfetsch, Sebastian Pokutta, Chantal Reinartz Groba, Felipe Serrano, Yuji Shinano, Mark Turner, Stefan Vigerske, Matthias Walter, Dieter Weninger, Liding Xu

AI总结:

SCIP优化套件10.0通过引入新的求解模式、预处理程序、启发式方法和调试工具,提升了混合整数线性规划问题的求解效率和可靠性。

摘要:

SCIP优化套件提供了一组用于数学优化的软件包,围绕约束整数规划(CIP)框架SCIP展开。本报告讨论了SCIP优化套件10.0中包含的增强和扩展功能。SCIP 10.0的更新包括一种新的求解模式,用于精确求解有理混合整数线性规划问题,一种新的预处理程序用于检测隐含的整数变量,一种基于切割的冲突分析和分离器用于花形不等式,两种新的启发式方法,一种新的用于解释不可行性的工具,一种新的非线性求解器接口,以及在对称处理、分支策略和SCIP的Benders分解框架方面的改进。SCIP优化套件10.0还包括在预处理库PaPILO、并行框架UG和分解框架GCG中的新功能和改进。此外,SCIP优化套件10.0包含MIP-DD,这是首个开源的混合整数规划求解器delta调试器。这些新增和改进使得SCIP在求解时间、分支定界树中的节点数量以及求解器的可靠性方面都得到了整体性能的提升。

英文摘要:

The SCIP Optimization Suite provides a collection of software packages for mathematical optimization, centered around the constraint integer programming (CIP) framework SCIP. This report discusses the enhancements and extensions included in SCIP Optimization Suite 10.0. The updates in SCIP 10.0 include a new solving mode for exactly solving rational mixed-integer linear programs, a new presolver for detecting implied integral variables, a novel cut-based conflict analysis and separator for flower inequalities, two new heuristics, a novel tool for explaining infeasibility, a new interface for nonlinear solvers as well as improvements in symmetry handling, branching strategies, and SCIP's Benders' decomposition framework. SCIP Optimization Suite 10.0 also includes new and improved features in the the presolving library PaPILO, the parallel framework UG, and the decomposition framework GCG. Moreover, the SCIP Optimization Suite 10.0 contains MIP-DD, the first open-source delta debugger for mixed-integer programming solvers. These additions and enhancements have resulted in an overall performance improvement of SCIP in terms of solving time, number of nodes in the branch-and-bound tree, as well as the reliability of the solver.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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