Ant colony algorithm can better deal with combinatorial optimization problems, but it is still difficult to balance the solution accuracy and convergence speed facing large-scale TSP. Nowadays, most scholars focus on the route information of better ants for improvement, while ignoring the route information of general ants with a large base. So, this study proposes the multiple ant colony algorithm combining community relationship network (CACO) by collecting route information of all ants and constructing a route relationship network to improve the accuracy of the solution. The network is divided into a number of small communities that reflect the affinity of multiple colony ants to different cities through community detection with modularity. Within the communities, CACO use the excellent roue exploration ability of the ant colony algorithm to identify high-quality route segments, integrating the pheromones of high-quality segments in the communities to provide pheromone feedback to the multiple colony ants for better route exploration. The three parts of route information collection, community detection and pheromone feedback form a feedback loop, which keeps cycling when multiple populations ants explore, and each cycle will drive the result closer to the optimal solution. Meanwhile, CACO proposes a mutual assistance strategy to improve the exploration ability of multiple colony ants by complementing each other according to the different states of superior and inferior populations. To test the performance of CACO, 28 TSP instances are compared with the well-known improved algorithms are compared and results show CACO outperforms other improved algorithms significantly, especially in large-scale TSP.

The aim of the study is to determine the pedagogical potential of works written by modern Russian composers for piano in the process of teaching children at a music school in China. The paper analyses the educational orientation and artistic value of piano works by Russian composers for the effective inclusion of a wealth of musical material created by Romantic composers in the process of teaching young pianists in China. The appropriateness of including works of piano music by contemporary Russian composers for children in the pedagogical repertoire of Chinese music schools is discussed as a working hypothesis. The scientific novelty of the study lies in substantiating the effectiveness of applying the integrated approach, which consists in the unity of the performing and emotional-cognitive aspects of piano skills formation to develop musical interests of students at the Wuhan School of Arts. As a result, it has been proved that the inclusion of piano cycles by modern Russian composers for children in the educational process of a school of music arts is an effective factor in the development of students’ musical interest.

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