Integer programming, a cornerstone of combinatorial optimisation, focuses on the selection of discrete decision variables to solve complex real‐world problems such as scheduling, network design and ...

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

Abstract: Small and medium-sized enterprises (SMEs) are the backbone of most countries' economy. However, they often face financing difficulties and high financing costs. In recent years, supply chain ...

This project uses ordinal optimization for computationally efficient sizing of a hybrid energy system containing PV panels, batteries, diesel generators, and an intermittent grid. It also utilizes ...

Write down the Linear Program (LP) relaxation of an IP Plot the graphical representation of an IP and find the optimal solution Understand the relationship between optimal solution of an IP and the ...

Constraint-based analysis has become a widely used method to study metabolic networks. While some of the associated algorithms can be applied to genome-scale network reconstructions with several ...

The model presented in this section is a Linear Integer Program (LIP), which combines integer variables with binary variables. The objective function and all constraints are linear.

Abstract: The Rummikub problem of finding the maximal number or value of the tiles that can be placed from your rack onto the table is very difficult, since the number of possible combinations are ...