The four models of mathematical modeling are optimization, classification, evaluation and prediction.

Optimization models are divided into five categories:

1, mathematical programming model. Linear programming, integer linear programming, nonlinear programming, multi-objective programming, dynamic programming, etc.

2. Differential equation group model. Blocking growth model, SARS transmission model, etc.

3. Graph theory and network optimization. Shortest path problem, network maximum flow problem, minimum cost maximum flow problem, minimum spanning tree problem (MST), traveling salesman problem (TSP), graph coloring problem.

4. Probability model. Decision model, random storage model, random population model, newsboy problem, Markov chain model, etc.

5. Classical problems of combinatorial optimization.