A solution of TSP based on the ant colony algorithm improved by particle swarm optimization

Miao Yu

doi:10.3934/dcdss.2019066

Article Contents

2019, Volume 12, Issue 4&5: 979-987. Doi: 10.3934/dcdss.2019066 open access

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A solution of TSP based on the ant colony algorithm improved by particle swarm optimization

Miao Yu^,

China University of Political Science and Law, Beijing, China

* Corresponding author: Miao Yu.
* Corresponding author: Miao Yu.

Received: June 2017

Revised: November 2017

Published: March 2019

The first author is supported by Training and Supporting Project for Young or Middle-aged Teachers of China University of Political Science and Law, College Scientific Research Project of China University of Political Science and Law (Grant No. 17ZFG63001) and NSF of China (Grant No. L1422009)

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Abstract

TSP is a classic problem in the field of logistics, and ant colony algorithm is an important way to solve the problem. However, the ant colony algorithm has some shortcomings in practical application. In this paper, the ant colony algorithm is improved by particle swarm optimization algorithm, and the ant colony algorithm is obtained by giving the ant colony a certain ''particle property''. Finally, an example is given to demonstrate the effectiveness of the improved ant colony algorithm.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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Figure 1. The flow chart of improved ant colony algorithm

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Figure 2. The simulation results of the basic ant colony algorithm

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Figure 3. The simulation results of the improved ant colony algorithm

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Table 1. Observations' latitude and longitude

Number	City	Longitude	latitude
1	Zhengzhou	113.63E	34.75N
2	Anyang	114.4E	36.1N
3	Hebi	114.3E	35.75N
4	Jiaozuo	113.25E	35.22N
5	Kaifeng	114.32E	34.8N
6	Luohe	114.02E	33.59N
7	Luoyang	112.46E	34.63N
8	Nanyang	112.54E	33N
9	Pingdingshan	113.2E	33.77N
10	Puyang	115.04E	35.77N
11	Sanmenxia	111.21E	34.78N
12	Shangqiu	115.66E	34.42N
13	Xinxiang	113.93E	35.31N
14	Xinyang	114.1E	32.15N
15	Xuchang	113.86E	34.04N
16	Zhoukou	114.7E	33.63N
17	Zhumadian	113.03E	33.02N

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