In my projects, I apply this proposed framework to solve Integer Programs (IPs) and Mixed Integer Programs (MIPs) in general. I've considered three NP-HARD Integer Programs (Multi-dimensional Assignment, Quadratic Assignment, Weighted Clique Partitioning Problem) and applied this framework (customized to each of these problems).  

Optimization Problem/ Formulation       Application

Multi-dimensional Assignment Multi-Object Tracking, Multi-source Data association 

Quadratic Assignment Facility location, shape matching

Weighted Clique Partitioning Entity Resolution