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Algorithm Research & Explore
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App. Res. of Comp. Printed Article
Vol. 40, 2023 No. 8
2351-2360

Backtracking algorithm with reduction for location problem of distribution points for living supplies during epidemic

Chu Xu
Ning Aibing
Hu Kaiyuan
Dai Suyu
Zhang Huizhen
Business School, University of Shanghai for Science & Technology, Shanghai 200093, China
DOI: 10.19734/j.issn.1001-3695.2023.01.0005

Abstract

After the outbreak of the epidemic, the allocation of living supplies in residential areas under closed management become one of the focal issues to be solved urgently, and this problem can be abstracted as the location problem of distribution points for living supplies during the epidemic, whose essence is the NP-hard problem in combinational optimization. This paper studied the exact algorithm of the location problem of distribution points for living supplies during the lockdown period, firstly it researched some mathematical properties and corresponding proof of the problem, and these properties could be used to reduce the size of the given problem, thereby reducing the difficulty of the problem solving. Then this paper designed the allocation sub-algorithm, upper and lower bound sub-algorithms and the reduced order sub-algorithm, and based on these sub-algorithms, it proposed a backtracking algorithm with reduction which could reduce the size of the problem and get the optimal solution. Finally, this paper analyzed and solved several examples to further illustrate the principle and execution process of the proposed algorithm. The results show that the proposed algorithm can reduce the difficulty of solving the problem by reducing the size of the problem.

Foundation Support

国家自然科学基金资助项目(71401106)
上海市“管理科学与工程”高原学科建设项目

Publish Information

DOI: 10.19734/j.issn.1001-3695.2023.01.0005
Publish at: Application Research of Computers Printed Article, Vol. 40, 2023 No. 8
Section: Algorithm Research & Explore
Pages: 2351-2360
Serial Number: 1001-3695(2023)08-017-2351-10

Publish History

[2023-03-14] Accepted Paper
[2023-08-05] Printed Article

Cite This Article

储旭, 宁爱兵, 胡开元, 等. 疫情期间生活物资集散点选址问题的降阶回溯算法 [J]. 计算机应用研究, 2023, 40 (8): 2351-2360. (Chu Xu, Ning Aibing, Hu Kaiyuan, et al. Backtracking algorithm with reduction for location problem of distribution points for living supplies during epidemic [J]. Application Research of Computers, 2023, 40 (8): 2351-2360. )

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.

Application Research of Computers has many high-level readers and authors, and its readers are mainly senior and middle-level researchers and engineers engaged in the field of computer science, as well as teachers and students majoring in computer science and related majors in colleges and universities. Over the years, the total citation frequency and Web download rate of Application Research of Computers have been ranked among the top of similar academic journals in this discipline, and the academic papers published are highly popular among the readers for their novelty, academics, foresight, orientation and practicality.

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