Essential Guide to Evaluation and Optimization Models: Resources & Algorithms
This curated list compiles recent articles on evaluation and optimization models, covering Data Envelopment Analysis, ANP, VIKOR, various grey analysis methods, competition ranking techniques, case studies, linear and integer programming, and a range of optimization algorithms with Python examples.
1. Evaluation Models
1.1 Data Envelopment Analysis (DEA)
DEA (Part 1) – Introduction
DEA (Part 2) – Model Introduction
DEA (Part 3) – Mathematical Model
Output‑oriented DEA model
Input‑oriented DEA model
Input‑output slacks DEA model
DEA application case studies
University evaluation DEA case
DEA case analysis with Python code
1.2 Other Comprehensive Methods
ANP (Analytic Network Process) – Network analysis method
VIKOR model
Grey relational analysis
Grey comprehensive evaluation – case study
Grey comprehensive evaluation – principles
1.3 Competition Evaluation
Messe method for competition ranking
Kenya method
Markov method
1.4 Case Studies
Implementation process of sports curriculum learning evaluation
Determining weights for classroom teaching fairness indicators
Construction of evaluation indicators for ordinary university sports learning
Comparison of various weighting methods and empirical analysis
2. Optimization Models
2.1 Linear and Integer Programming
Human resource planning
Edible oil refining problem
Signal tower coverage problem
Enumeration method for solving linear programming
2.2 Optimization Algorithms
Butterfly algorithm
Bee colony algorithm
Seagull algorithm (Python)
Teaching‑learning optimization algorithm (Python)
Particle Swarm Optimization (PSO) for Rastrigin function
Genetic algorithm for Rastrigin function
Genetic algorithm using Geatpy library (Python)
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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