利用 SCIP 对混合整数非线性程序进行全局优化 8

IF 1.8 3区 数学 Q1 Mathematics
Ksenia Bestuzheva, Antonia Chmiela, Benjamin Müller, Felipe Serrano, Stefan Vigerske, Fabian Wegscheider
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引用次数: 0

摘要

十多年来,约束整数规划框架SCIP通过求解凸和非凸混合整数非线性规划(minlp)的能力得到了扩展。在最近发布的8.0版本中,这些功能在很大程度上得到了重新设计和扩展。本文讨论了最近变化的动机,并概述了在SCIP中解决MINLP问题所特有的特性。此外,讨论了全球MINLP解算器的基准测试困难,并与几种最先进的全球MINLP解算器进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Global optimization of mixed-integer nonlinear programs with SCIP 8

Global optimization of mixed-integer nonlinear programs with SCIP 8

For over 10 years, the constraint integer programming framework SCIP has been extended by capabilities for the solution of convex and nonconvex mixed-integer nonlinear programs (MINLPs). With the recently published version 8.0, these capabilities have been largely reworked and extended. This paper discusses the motivations for recent changes and provides an overview of features that are particular to MINLP solving in SCIP. Further, difficulties in benchmarking global MINLP solvers are discussed and a comparison with several state-of-the-art global MINLP solvers is provided.

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来源期刊
Journal of Global Optimization
Journal of Global Optimization 数学-应用数学
CiteScore
0.10
自引率
5.60%
发文量
137
审稿时长
6 months
期刊介绍: The Journal of Global Optimization publishes carefully refereed papers that encompass theoretical, computational, and applied aspects of global optimization. While the focus is on original research contributions dealing with the search for global optima of non-convex, multi-extremal problems, the journal’s scope covers optimization in the widest sense, including nonlinear, mixed integer, combinatorial, stochastic, robust, multi-objective optimization, computational geometry, and equilibrium problems. Relevant works on data-driven methods and optimization-based data mining are of special interest. In addition to papers covering theory and algorithms of global optimization, the journal publishes significant papers on numerical experiments, new testbeds, and applications in engineering, management, and the sciences. Applications of particular interest include healthcare, computational biochemistry, energy systems, telecommunications, and finance. Apart from full-length articles, the journal features short communications on both open and solved global optimization problems. It also offers reviews of relevant books and publishes special issues.
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