Algorithm Research & Explore
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App. Res. of Comp. Printed Article
Vol. 38, 2021 No. 7
1998-2002,2024

Belief propagation algorithm for solving minimum cost maximum flow problem

Zuo Fengyuana
Wang Xiaofenga,b
Niu Jina
Liang Chena
a. College of Computer Science & Engineering, b. The Key Laboratory of Intelligent Information & Big Data Processing of Ningxia Province, North Minzu University, Yinchuan 750021, China
DOI: 10.19734/j.issn.1001-3695.2020.10.0357

Abstract

The minimum cost and large flow problem is a combinatorial optimization problem, which has important research significance and application value in the fields of economy and industry. In view of the low efficiency of the algorithm for solving part of the minimum cost and maximum flow problem, according to the linear programming equation of the minimum cost and maximum flow problem, this paper mapped the problem model to the corresponding factor graph model, improved the description function, gave the iteration equation, and designed the minimum cost belief propagation algorithm for maximum flow problem. It used the iterative equation to perform convergence calculation on the maximum feasible flow eigenvalue firstly, and obtained the maximum flow, and set the maximum flow threshold. On this basis, the minimum cost calculation was performed to obtain the optimal solution of the problem. Finally, this paper selected a number of weighted directed graph models for numerical experiments to verify the feasibility and effectiveness of the algorithm. The results show that the algorithm is superior to some algorithms in terms of solving efficiency.

Foundation Support

国家自然科学基金资助项目(62062001,61762019,61862051,61962002)
北方民族大学重大专项资助项目(ZDZX201901)
宁夏自然科学基金资助项目(2020AAC03214,2020AAC03219,2019AAC03120,2019AAC03119)
北方民族大学校级科研一般项目(2019XYZJK05)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2020.10.0357
Publish at: Application Research of Computers Printed Article, Vol. 38, 2021 No. 7
Section: Algorithm Research & Explore
Pages: 1998-2002,2024
Serial Number: 1001-3695(2021)07-015-1998-05

Publish History

[2021-07-05] Printed Article

Cite This Article

左逢源, 王晓峰, 牛进, 等. 求解最小费用最大流问题的信念传播算法 [J]. 计算机应用研究, 2021, 38 (7): 1998-2002,2024. (Zuo Fengyuan, Wang Xiaofeng, Niu Jin, et al. Belief propagation algorithm for solving minimum cost maximum flow problem [J]. Application Research of Computers, 2021, 38 (7): 1998-2002,2024. )

About the Journal

  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

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