Node-based valid inequalities for the optimal transmission switching problem

IF 0.9 4区 数学 Q3 MATHEMATICS, APPLIED
Santanu S. Dey , Burak Kocuk , Nicole Redder
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引用次数: 3

Abstract

The benefits of transmission line switching are well-known in terms of reducing operational cost and improving system reliability of power systems. However, finding the optimal power network configuration is a challenging task due to the combinatorial nature of the underlying optimization problem. In this work, we identify a certain “node-based” set that appears as substructure of the optimal transmission switching problem and then conduct a polyhedral study of this set. We construct an extended formulation of the integer hull of this set and present the inequality description of the integer hull in the original space in some cases. These inequalities in the original space can be used as cutting-planes for the transmission line switching problem. Finally, we present the results of our computational experiments using these cutting-planes on difficult test cases from the literature.

最优传输交换问题的基于节点的有效不等式
传输线交换在降低运行成本和提高电力系统可靠性方面的好处是众所周知的。然而,由于潜在优化问题的组合性质,找到最优电网配置是一项具有挑战性的任务。在这项工作中,我们确定了一个特定的“基于节点”的集合,作为最优传输交换问题的子结构,然后对该集合进行多面体研究。构造了该集合的整数壳的推广公式,并在某些情况下给出了整数壳在原空间中的不等式描述。原始空间中的这些不等式可以作为传输线交换问题的切面。最后,我们给出了我们使用这些切割平面在文献中困难测试用例上的计算实验结果。
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来源期刊
Discrete Optimization
Discrete Optimization 管理科学-应用数学
CiteScore
2.10
自引率
9.10%
发文量
30
审稿时长
>12 weeks
期刊介绍: Discrete Optimization publishes research papers on the mathematical, computational and applied aspects of all areas of integer programming and combinatorial optimization. In addition to reports on mathematical results pertinent to discrete optimization, the journal welcomes submissions on algorithmic developments, computational experiments, and novel applications (in particular, large-scale and real-time applications). The journal also publishes clearly labelled surveys, reviews, short notes, and open problems. Manuscripts submitted for possible publication to Discrete Optimization should report on original research, should not have been previously published, and should not be under consideration for publication by any other journal.
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