What are the main analytical methods of mathematical modeling?
2 Common modeling methods (1) Elementary mathematics method is mainly used for some static, linear and deterministic models, such as the allocation of seats, the comparison of students' grades, and some simple static models of infectious diseases. (2) Data analysis method. From a large number of observation data, mathematical models are established by statistical methods, such as regression analysis and time series analysis. (3) methods such as simulation. (3) Computer simulation method. It is equivalent to sampling test, which can simulate discrete systems and continuous systems), factor test method (mainly doing local tests on the system, constantly analyzing and modifying according to the test results, and getting the required model structure), and artificial reality method (artificially forming a system based on the understanding of the system and the goal to be achieved). (4) Analytic Hierarchy Process is mainly used for decision-making, evaluation, analysis and prediction in economic planning and management, energy decision-making and distribution, behavioral science, military science, military command, transportation, agriculture, education, talents, medical care, environment and other fields. The key step of this method is to establish a hierarchical structure model.