This research conducts an in-depth investigation into the fundamental components of innovation competence and constructs a linear spatial model to map out the structure of innovation and entrepreneurial capabilities. By dissecting the internal mechanisms of innovative thinking and action, the study establishes a multi-objective optimize work aimed at maximizing the effectiveness and fairness of educational resource distribution. Utilizing a grey relational analysis algorithm, the study executes a series of simulation experiments to validate the model’s performance. The findings reveal a notable enhancement in key metrics: efficiency in educational resource usage improves by 18.72%, while allocation fairness increases by 20.98%, indicating a shift toward more balanced development. Additionally, the correlation index with the ideal entrepreneurship benchmark reaches 0.3177, underscoring the strategy’s ability to support innovation and entrepreneurship training through optimized resource deployment.