Contradiction between Supply and Demand of Public Sports Services and Coping Strategies Based on the Genetic Algorithm

The current situation of China's sports public service is not very satisfactory. This research analyzes not only the operation characteristics of the public sports service supply mode but also the connotation mechanism of the public sports service collaborative supply. The article also constructs the mechanism elements and the index system of the public sports service collaborative supply from the perspective of the genetic algorithm. Taking the eastern and central regions as research cases, this paper analyzes the actual situation of the collaborative supply of public sports services, and further explores the gap between urban and rural public sports. It puts forward the ideas and strategic paths for the innovative development of the collaborative supply model of public sports services. This research uses descriptive statistical analysis on the evaluation results of public sports service quality to examine the actual performance value of public sports service quality in various regions and uses the characteristics of different fitness of genetic algorithms to select the optimal supply and demand of public sports services in different regions. By analyzing the characteristics of insufficient supply and demand of public sports services in various regions, an optimal genetic algorithm model is constructed, and then combined with the scope of the study area and the number of people in the area, the genetic algorithm is used to continuously optimize until a set of optimal solutions appears, thus completing the optimal configuration of public sports services. The optimal path for the development of public sports in different regions is obtained, so as to promote the development of regional public sports. The study found that the satisfaction of sports funds in primary and middle schools in the east and middle is not very high, and the satisfaction with sports funds in middle schools is higher than that in primary schools, but only 50% of schools choose that sports funds are basically sufficient. The difference in satisfaction with sports funding in middle schools in the eastern and central regions is not obvious, and the satisfaction with sports funding in primary schools in the eastern region is higher than that in the central region. Judging from the amount of sports expenditures filled in by schools, 2000–3000 yuan per school year for primary schools and 4000–5000 yuan for middle schools are more common. Based on the calculation of 1,000 students in a school, the per capita sports expenditure is less than 10 yuan, which is very limited for sports training. This research will help to change the service concept and scientific decision-making and change the supply mode of sports public services. It will establish not only a vertical, complete, and horizontally smooth organizational structure and coordination mechanism but also a clear strategy for equalization of urban and rural sports public services.