Operations 3 min read

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.

Model Perspective
Model Perspective
Model Perspective
Essential Guide to Evaluation and Optimization Models: Concepts, Methods, and 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

operations researchLinear Programminggraph algorithmsoptimization modelsevaluation models
Model Perspective
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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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