1 Introduction

2 Preliminaries  
2.1 Strength of a Node  
2.2 Power Law Distribution  
2.3 Preferential Attachment Model  
2.4 Clustering Coefficient  

3 Undirected and Directed Weighted Networks  

4 Signed Weighted Networks  

5 Mesoscale Structured Weighted Networks  
5.1 Community Structured Weighted Networks  
5.2 Core-periphery Structured Weighted Networks  

6 Multi-layered Weighted Networks  

7 Application Specific Weighted Models  
7.1 International Trade Network  
7.2 Bipartite Weighted Trade Model  
7.3 Rail Transportation Network  
7.4 Immune System Model  
7.5 Stock Market Network  
7.6 Email Network  

8 Other Miscellaneous Models  
8.1 Random Network Model  
8.2 Random Weight Assignment Model  
8.3 Weighted Stochastic Block Model  
8.4 Weighted Fractal Networks  
8.5 Capacity Constraint Model  
8.6 Recursive Model for Hierarchical Weighted Networks  
8.7 Overlapped Clique Evolution Model  

9 Conclusion