There is a problem with erroneous model placement, which is a major issue in college and university physical education classes when teaching models are constructed. When applied to the challenge of developing effective teaching models for collegiate PE, the tried-and-true ant colony method yields disappointing results. Consequently, this study reviews previous work on the topic and suggests further research into building a model for college physical education instruction using the gray clustering technique. The first step in reducing interference factors during teaching model design is to utilize cluster analysis theory to identify the components that will have an impact. Then, the indicators will be split according to the needs of the model. Next, a teaching model creation scheme based on the gray clustering method is developed using cluster analysis theory. The outcomes of this model development are then thoroughly examined. The results of the MATLAB simulation demonstrate that the gray clustering method outperforms the standard ant colony algorithm under certain assessment criteria, particularly when it comes to the speed and accuracy of teaching model generation.