A Curated Guide to Evaluation and Optimization Models for Researchers
This article compiles a comprehensive list of evaluation and optimization model resources, covering Data Envelopment Analysis, ANP, VIKOR, grey relational analysis, linear and integer programming, and various meta‑heuristic algorithms with example implementations, providing a handy reference for scholars and practitioners.
1. Evaluation Models
1.1 Data Envelopment Analysis (DEA)
Introduction and basic concepts
Output‑oriented model
Input‑oriented model
Input‑output slack model
DEA application cases (e.g., university evaluation)
Python case study with code
1.2 Other Comprehensive Methods
Network Analysis ANP
VIKOR model
Grey relational analysis and its applications
Comprehensive grey evaluation method
1.3 Competition Evaluation
Messe method for ranking
Kenya method
Markov method
1.4 Case Studies
Physical‑education course evaluation process
Determining weights for classroom teaching fairness
Construction of evaluation indicators for university sports learning
Comparison of weighting methods with 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)
Particle Swarm Optimization (PSO) for Rastrigin function
Genetic algorithm for Rastrigin function
Geatpy library for genetic algorithm in 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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