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Common methods of mathematical modeling
1, Analytic Hierarchy Process (AHP), referred to as AHP, refers to the decision-making method that decomposes the elements that are always related to decision-making into levels such as objectives, criteria and schemes, and makes qualitative and quantitative analysis on this basis. This method is a hierarchical weight decision analysis method put forward by Professor Sati, a logistics expert at the University of Pittsburgh in the United States, when he studied the topic of "Distribution of power according to the contribution of various industrial sectors to national welfare" for the US Department of Defense in the early 1970s, applying network system theory and multi-objective comprehensive evaluation method.

2. Multi-attribute decision-making is an important part of modern decision-making science, and its theories and methods are widely used in many fields such as engineering design, economy, management and military affairs. Such as: investment decision-making, project evaluation, maintenance service, weapon system performance evaluation, factory site selection, bidding, industrial sector development sequencing and comprehensive evaluation of economic benefits. The essence of multi-attribute decision-making is to sort or select a group of (limited) alternatives in a certain way by using the existing decision-making information. It mainly consists of two parts: (1) obtaining decision information. Decision information generally includes two aspects: attribute weight and attribute value (attribute value is mainly (2) the decision information is assembled in a certain way, and the best scheme is selected in order.

3. The grey forecasting model is a forecasting method that establishes a mathematical model and forecasts according to a small amount of incomplete information. When we use the ideas and methods of operational research to solve practical problems, formulate development strategies and policies, and make decisions on major issues, we must make scientific predictions about the future. Prediction is to describe and analyze the future development trend and conditions of objective things with the help of scientific methods and according to the development laws of the past and present, and to form them.