Algorithm Research & Explore
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App. Res. of Comp. Printed Article
Vol. 38, 2021 No. 6
1642-1647

Discrete fireworks algorithm with fixed radius nearest-neighbor search 3-opt for travelling salesman problem

Qi Yuanhang1,2
Cai Yanguang3
Huang Gewen3
Lin Zhuosheng4
Wang Fujie5
1. School of Computer Science, University of Electronic Science & Technology of China, Zhongshan Institute, Zhongshan Guangdong 528402, China
2. School of Computer Science & Engineering, University of Electronic Science & Technology of China, Chengdu 611731, China
3. School of Automation, Guangdong University of Technology, Guangzhou 510006, China
4. Faculty of Intelligent Manufacturing, Wuyi University, Jiangmen Guangdong 529020, China
5. School of Electrical Engineering & Intelligentization, Dongguan University of Technology, Dongguan Guangdong 523808, China
DOI: 10.19734/j.issn.1001-3695.2020.09.0241

Abstract

The traditional fireworks algorithm has slow convergence speed and low precision when solving large-scale discrete problems. Aiming at the characteristics of travelling salesman problem, this paper proposed a discrete fireworks algorithm with fixed radius nearest-neighbor search 3-opt. It discretized and improved the proposed algorithm based on the basic fireworks algorithm, where adopted the integer coding path representation method to represent the solution of the travelling salesman problem, as well as designed the explosion operator and the Gauss mutation operator of the algorithm for discretization solution. To enhance local search ability of the algorithm, the algorithm proposed implements 3-opt local search to strengthen search ability of the algorithm, and introduced the fixed radius of neighbor search and don't-look-bits strategy to improve the efficiency of the algorithm. The experiments indicate that the proposed algorithm solves travelling salesman problem effectively. The discrete fireworks operator proposed is superior to the traditional fireworks operator in global convergence ability, convergence accuracy, solution time and stability. The average costs of the solutions of the algorithms for all benchmark instances probed have an overall deviation in only 0.002% from those of the best known solutions, which is lower than those of all comparing algorithms.

Foundation Support

国家自然科学基金资助项目(61074147,61901304)
广东省自然科学基金资助项目(S2011010005059,2019A1515010493,2016A030313018)
广东省教育部产学研结合项目(2012B091000171,2011B090400460)
广东省科技计划资助项目(2012B050600028,2014B010118004,2016A050502060)
广州市花都区科技计划资助项目(HD14ZD001)
广州市科技计划资助项目(201604016055)
广州市天河区科技计划资助项目(2018CX005)
广东省普通高校青年创新人才项目(2018KQNCX333,2018KQNCX252)
广东省普通高校重点领域专项资助项目(2019KZDZX1052,2020ZDZX3030)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2020.09.0241
Publish at: Application Research of Computers Printed Article, Vol. 38, 2021 No. 6
Section: Algorithm Research & Explore
Pages: 1642-1647
Serial Number: 1001-3695(2021)06-007-1642-06

Publish History

[2021-06-05] Printed Article

Cite This Article

戚远航, 蔡延光, 黄戈文, 等. 带固定半径近邻搜索3-opt的离散烟花算法求解旅行商问题 [J]. 计算机应用研究, 2021, 38 (6): 1642-1647. (Qi Yuanhang, Cai Yanguang, Huang Gewen, et al. Discrete fireworks algorithm with fixed radius nearest-neighbor search 3-opt for travelling salesman problem [J]. Application Research of Computers, 2021, 38 (6): 1642-1647. )

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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.

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