Algorithm Research & Explore
|
App. Res. of Comp. Printed Article
Vol. 38, 2021 No. 12
3678-3682

Backtracking algorithm with reduction for constrained competitive location problem

Fu Tangyi
Ning Aibing
Sun Zhiyong
Lin Daohan
Zhang Huizhen
Business School, University of Shanghai for Science & Technology, Shanghai 200093, China
DOI: 10.19734/j.issn.1001-3695.2021.04.0140

Abstract

The constrained competitive location problem is a classic NP-hard problem in combinatorial optimization. When the existing algorithms study this problem, the optimal solution cannot be obtained or the solution speed is slow. Aiming at the shortcomings of the existing algorithms, this paper modified this classic problem and constructed a new mathematical model. Then it studied the mathematical properties of the model, and proposed upper and lower bound algorithms and lower bound algorithms on the basis of mathematical properties. The order sub-algorithm reduced the order of the problem and achieved the purpose of reducing the search solution space of the problem. There were both single order reduction and batch reduction in the order reduction process. Then it designed a backtracking sub-algorithm on the basis of the previous one to solve the optimal solution of the problem. Finally, the principle of the algorithm was explained more clearly through the analysis of two examples, and the result proves that the algorithm can find the optimal solution faster.

Foundation Support

国家自然科学基金项目(71401106)
上海市一流学科建设项目(S1201YLXK)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2021.04.0140
Publish at: Application Research of Computers Printed Article, Vol. 38, 2021 No. 12
Section: Algorithm Research & Explore
Pages: 3678-3682
Serial Number: 1001-3695(2021)12-027-3678-05

Publish History

[2021-12-05] Printed Article

Cite This Article

傅汤毅, 宁爱兵, 孙智勇, 等. 有约束竞争选址问题的降阶回溯算法 [J]. 计算机应用研究, 2021, 38 (12): 3678-3682. (Fu Tangyi, Ning Aibing, Sun Zhiyong, et al. Backtracking algorithm with reduction for constrained competitive location problem [J]. Application Research of Computers, 2021, 38 (12): 3678-3682. )

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.

Indexed & Evaluation

  • The Second National Periodical Award 100 Key Journals
  • Double Effect Journal of China Journal Formation
  • the Core Journal of China (Peking University 2023 Edition)
  • the Core Journal for Science
  • Chinese Science Citation Database (CSCD) Source Journals
  • RCCSE Chinese Core Academic Journals
  • Journal of China Computer Federation
  • 2020-2022 The World Journal Clout Index (WJCI) Report of Scientific and Technological Periodicals
  • Full-text Source Journal of China Science and Technology Periodicals Database
  • Source Journal of China Academic Journals Comprehensive Evaluation Database
  • Source Journals of China Academic Journals (CD-ROM Version), China Journal Network
  • 2017-2019 China Outstanding Academic Journals with International Influence (Natural Science and Engineering Technology)
  • Source Journal of Top Academic Papers (F5000) Program of China's Excellent Science and Technology Journals
  • Source Journal of China Engineering Technology Electronic Information Network and Electronic Technology Literature Database
  • Source Journal of British Science Digest (INSPEC)
  • Japan Science and Technology Agency (JST) Source Journal
  • Russian Journal of Abstracts (AJ, VINITI) Source Journals
  • Full-text Journal of EBSCO, USA
  • Cambridge Scientific Abstracts (Natural Sciences) (CSA(NS)) core journals
  • Poland Copernicus Index (IC)
  • Ulrichsweb (USA)