Integer Linear Programming (ILP) is the foundation of combinatorial optimization, which is extensively applied across numerous industries to resolve challenging decision-making issues. Under a set of ...

Additionally, efforts have been made to extend the feasibility pump framework to general mixed integer variables, demonstrating its versatility beyond purely binary problems [4].

We have found that the nontrivial integer programming problems we encounter tend to fall into two classes. The first class of problems is characterized by a relatively small number (less than 100) of ...

A timetabling problem is formulated as a large integer linear programming problem in 0-1 variables. A solution method based on Lagrangean relaxation coupled with subgradient optimization is presented.

To obtain a minimum backbone grid, a mixed integer linear programming (MILP) model with network connectivity constraints for a minimum backbone grid is proposed. In the model, some constraints are ...

PMUs or synchronized PMUs are rapidly becoming essential in today’s power systems acting as monitors in the advancement of mainstream grid supervisory, protective, and controlling systems. This paper ...

This repository contains the implementation of an optimized university timetabling system using Integer Linear Programming (ILP) techniques. The system aims to efficiently allocate classrooms, ...

There are section time constraints (STC) between adjacent stations, which has limitations for the train control. In this paper, train trajectory optimization problem with STC is solved by mixed ...