Mathematical-Modeling

A sharing of the learning process of mathematical modeling.
数学建模常用工具模型算法分享。

Our papers

We were luckly designated as the Meritorious Winner in 2021 MCM-ICM. Here are our paper and codes.

Some tools

• LaTeX is a writing tool which may help you write professional-looking documents that include complex math expressions or non-Latin scripts.
  
• SPSS is a software which is used for statistical analysis operations, data mining, predictive analysis and decision-making. It may help you edit and analyze many sorts of data more easily.

Some problems and papers

• The Problems of MCM-ICM in 2021
• The Outstanding Papers of MCM-ICM in 2019 and 2020

Some commonly used algorithms and models

Evaluation models

• 层次分析法Analytic Hierarchy Process(AHP)

• 优劣解距离法Technique for Order Preference by Similarity to an Ideal Solution(TOPSIS)

• 秩和比综合分析法Rank-sum ratio(RSR)

• 熵权法The entropy weight method(EWM)

Predictive models

• 马尔科夫链Markov Chain(MC)

• 蒙特卡洛算法Monte Carlo methods(MCM)

• 时间序列分析Time series analysis(TSA)

• 小波分析Wavelet analysis(WA)

• BP神经网络Backpropagation Neural Network(BPNN)

Optimization models

• 数据包络分析Data Envelopment Analysis(DEA)

• 模拟退火法Simulated annealing(SA)

• 遗传算法Genetic algorithm(GA)

Classification models

• 逻辑回归Logistic regression(LR)

Regression models

• 最小二乘法Least squares(LS)

Graph models

• 戴克斯特拉算法Dijkstra's algorithm(DA)

Others

• 马尔科夫链蒙特卡洛方法Markov Chain Monte Carlo(MCMC)

• 方差分析Analysis of variance (ANOVA)