Development and application of a system for optimal combination of decision in the Mixed 4×100m Medley Relay

As a new event, mixed 4 × 100 meter medley relay, like other relay events, the speed of each stroke may affect the performance of the whole team. How to choose the best combination in the on-the-spot decision making is the test of the coach's real ability of arranging troops. However, through the investigation of literature at home and abroad, it is found that the project has not been carried out for a long time, and there is no authoritative and reasonable array. As a result, the traditional selection method can’t fully express its objectivity and systematicness. Both subjective and objective factors affect the rationality of selection. And at this stage, how to make the best combination, the second best combination and the second best combination is the key to selection. The selection procedure established by computer model can not only reflect the objectivity of selection, but also eliminate the interference in human factors. At the same time, the program of the model can not only be applied to the selection of high-level relay competitions, but also be widely used in grass-roots training competitions, providing an objective and reasonable ranking for the selection of relay combinations in grass-roots competitions with more participants. It has the advantages of convenient use, simple and fast, and has a wide range of use value of all levels of relay selection. By using the methods of literature review, mathematical statistics, comparative analysis and other multivariate statistical research methods, this paper takes the relay results in international representative events from 2014 to 2016 as the research object, and makes statistics and analysis of the optimal combination on-the-spot decision-making system of mixed 4 × 100m medley relay. The results are as follows:(1) The optimal combination method of mixed 4 × 100m medley relay model, based on the solution operation of MATLAB, establishes a 0-1 programming model, inputs the individual results of all the athletes in the mixed 4 × 100m medley relay team, and then according to the requirements of the competition, selects one player for each stroke, and two for each male and female. Through the model analysis of MATLAB, we can quickly get six combination ways of ranking results from fast to slow, and the best combination of mixed 4 × 100 medley relay is ranked first. (2)By using the model selection method, the optimal, suboptimal and suboptimal combination modes can be obtained through MATLAB model analysis, which can be used as one of the reference from the optimal combination. Coaches can refer to the situation of their athletes participating in the competition, and choose the best combination among the best, the second best and the second best combination as the best combination.