多面体上整数规划的增广搜索

IF 4.3 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Operations Research Pub Date : 2025-07-22 DOI:10.1016/j.cor.2025.107204

Tolga Bektaş

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引用次数: 0

摘要

本文描述了一种优化定义在多面体上的整数程序的原始搜索算法。在模型的线性约束所描述的格上进行搜索，其中搜索方向根据Graver基的精神推导，并使用可行性寻找黑箱动态提取。与最先进的求解器相比，计算结果显示出特别是在具有复杂目标函数的0-1规划公式上的潜力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Augmentation search for integer programming over a polyhedron

This paper describes a primal search algorithm to optimise an integer programme defined over a polyhedron. The search is conducted on the lattice described by the linear constraints of the model, where search directions are derived in the spirit of Graver bases and extracted dynamically using a feasibility-seeking black-box. Computational results show potential particularly on 0-1 programming formulations with complex objective functions when compared with state-of-the-art solvers.

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来源期刊

Computers & Operations Research 工程技术-工程：工业

CiteScore

8.60

自引率

8.70%

发文量

292

审稿时长

8.5 months

期刊介绍： Operations research and computers meet in a large number of scientific fields, many of which are of vital current concern to our troubled society. These include, among others, ecology, transportation, safety, reliability, urban planning, economics, inventory control, investment strategy and logistics (including reverse logistics). Computers & Operations Research provides an international forum for the application of computers and operations research techniques to problems in these and related fields.