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Predefined-time distributed optimization algorithms for a class of resource allocation problem

delete2024-08-01
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PRE
AI
X
Xiyuan Wang
C
Chuxiong Su
H
Hao Dai *
Y
Yan Li
DOI:10.1016/j.jfranklin.2024.107009delete
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Abstract

Abstract

En 中文
In this paper, two predefined -time distributed optimization algorithms are proposed to solve a class of resource allocation problem (RAP) with equation constraint. One is a distributed predefined continuous -time optimization algorithm and the other is an accelerated distributed predefined discrete iterative optimization algorithm. Compared with existing finite -time and fixed -time distributed optimization algorithms, the proposed algorithms can solve the RAP in any given time. The core of the optimization algorithms is to design two predefined -time multi -agent weighted consensus algorithms. Especially in the design of discrete algorithm, the performance of optimization algorithm has been greatly improved through information composite interaction. Finally, the proposed algorithms are used to solve the problem of power resource allocation in power grids, and five sets of simulation instances are provided to verify the effectiveness and advantages of the proposed algorithms.
Keywords:
Distributed optimization algorithm
Resource allocation
Equality constraint
Convex optimization
Predefined-time convergence

Journal

J
Journal of the Franklin Institute-Engineering and Applied Mathematics
IF:
3.7
Papers:
6.3K
Citations:
1.5W

Organization

T
Taiyuan University of Technology
Scholars:
2.2W
Papers: 1.4W
Citations: 1.8W
X
Xidian University
Scholars:
2.4W
Papers: 1.9W
Citations: 9.7K