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

This paper develops an algorithm for pure integer programming problems. It first transforms the integer programming problem to an algebraically equivalent Hermite canonical problem, and then employs ...

Developing a minimum backbone grid in the power system planning is beneficial to improve the power system’s resilience. To obtain a minimum backbone grid, a mixed integer linear programming (MILP) ...

Roughly, we will cover the following topics (some of them may be skipped depending on the time available). Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear ...

Integer Programming and Cutting Plane Methods Publication Trend The graph below shows the total number of publications each year in Integer Programming and Cutting Plane Methods.

We propose an exact solution approach that involves mixed-integer linear programming. The objective is hereby to minimize the sum of weighted deviations from the target landing times under ...

R. C. Daniel, Martyn Jeffreys, Unboundedness in Integer and Discrete Programming L.P. Relaxations, The Journal of the Operational Research Society, Vol. 30, No. 12 ...

This approach employs integer linear programming, integrated with sparse statistics, to formulate the problem. It establishes a theoretical foundation for the method's effectiveness, facilitating the ...