On Accelerated Coordinate Descent Methods for Searching Equilibria in Two-Stage Transportation Equilibrium Traffic Flow Distribution Model

IF 0.7 4区计算机科学 Q4 COMPUTER SCIENCE, SOFTWARE ENGINEERING

Programming and Computer Software Pub Date : 2023-12-01 DOI:10.1134/s036176882306004x

N. A. Il’tyakov, M. A. Obozov, I. M. Dyshlevski, D. V. Yarmoshik, M. B. Kubentaeva, A. V. Gasnikov, E. V. Gasnikova

引用次数: 0

Abstract

The search for equilibrium in a two-stage traffic flow model reduces to the solution of a special nonsmooth convex optimization problem with two groups of different variables. For numerical solution of this problem, it is proposed to use the accelerated block-coordinate Nesterov–Stich method with a special choice of block probabilities at each iteration. Theoretical estimates of the complexity of this approach can appreciably improve the estimates of previously used approaches. However, in the general case they do not guarantee faster convergence. Numerical experiments with the proposed algorithms are carried out.

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两阶段交通均衡交通流分配模型中寻找平衡点的加速坐标下降法

摘要两阶段交通流模型的均衡问题可归结为两组不同变量的特殊非光滑凸优化问题的求解。对于该问题的数值求解，提出了采用加速块坐标Nesterov-Stich方法，并在每次迭代时选择特定的块概率。对这种方法复杂性的理论估计可以显著地改进以前使用的方法的估计。然而，在一般情况下，它们不能保证更快的收敛。对所提出的算法进行了数值实验。

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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来源期刊

Programming and Computer Software 工程技术-计算机：软件工程

CiteScore

1.60

自引率

28.60%

发文量

审稿时长

>12 weeks

期刊介绍： Programming and Computer Software is a peer reviewed journal devoted to problems in all areas of computer science: operating systems, compiler technology, software engineering, artificial intelligence, etc.