Essential Guide to Evaluation and Optimization Models: Concepts, Methods, and Algorithms
This article compiles recent resources on evaluation and optimization models, covering fundamental concepts, data preprocessing techniques, weighting methods such as TOPSIS and entropy, as well as linear and integer programming, graph theory, network algorithms, and meta‑heuristic approaches like simulated annealing and genetic algorithms.
Evaluation Models
Model Evaluation 01 – Basic concepts of evaluation models
Model Evaluation 02 – Data preprocessing: indicator selection
Model Evaluation 03 – Data preprocessing: indicator standardization
Model Evaluation 04 – Dimensionless processing of data
Model Evaluation 05 – TOPSIS method
Model Evaluation 06 – Entropy weight method
Model Evaluation 07 – CRITIC method
Model Evaluation 08 – Analytic Hierarchy Process (AHP)
Model Evaluation 08‑1 – AHP code implementation
Model Evaluation 09 – Fuzzy comprehensive evaluation
Model Evaluation 15 – Rank‑sum ratio method
Model Evaluation 16 – Grey relational analysis
Model Evaluation 17 – Four mathematical models for measuring differences between children
Optimization Models
Optimization Modeling 01 – Basic concepts of linear programming
Optimization Modeling 02 – Basic concepts of integer programming
Optimization Modeling 04 – Fixed‑cost model
Optimization Modeling 05 – Facility location problem
Optimization Modeling 12 – Sensitivity analysis of linear programming problems
Optimization Modeling 13 – Multi‑period production scheduling
Optimization Modeling 14 – Transportation problem
Optimization Modeling 17 – Basic concepts of graph theory
Optimization Modeling 18 – Graph representation
Optimization Modeling 19 – Concepts and characteristics of complex networks
Optimization Modeling 06 – Shortest path algorithm
Optimization Modeling 07 – Minimum spanning tree problem
Optimization Modeling 08 – Maximum flow problem
Optimization Modeling 09 – Minimum cost flow problem
Optimization Modeling 10 – Basic idea of simulated annealing algorithm
Optimization Modeling 11 – Steps of simulated annealing algorithm
Optimization Modeling 22 – (Comic) Genetic algorithm search mechanism
Model Perspective
Insights, knowledge, and enjoyment from a mathematical modeling researcher and educator. Hosted by Haihua Wang, a modeling instructor and author of "Clever Use of Chat for Mathematical Modeling", "Modeling: The Mathematics of Thinking", "Mathematical Modeling Practice: A Hands‑On Guide to Competitions", and co‑author of "Mathematical Modeling: Teaching Design and Cases".
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