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Linear convergence of a primal-dual algorithm for distributed interval optimization.

Authors :
Wang, Yinghui
Wang, Jiuwei
Song, Xiaobo
Hu, Yanpeng
Source :
Electronic Research Archive. 2024, Vol. 32 Issue 2, p1-17. 17p.
Publication Year :
2024

Abstract

In this paper, we investigate a distributed interval optimization problem whose local functions are interval functions rather than scalar functions. Focusing on distributed interval optimization, this paper presents a distributed primal-dual algorithm. A criterion is introduced under which linear convergence to the Pareto solution of distributed interval optimization problems can be achieved without strong convexity. Lastly, a numerical simulation is presented to illustrate the linear convergence of the algorithm that has been proposed. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
26881594
Volume :
32
Issue :
2
Database :
Academic Search Index
Journal :
Electronic Research Archive
Publication Type :
Academic Journal
Accession number :
178380290
Full Text :
https://doi.org/10.3934/era.2024041