Efficient Resource Allocation through Integer Linear Programming: a detailed example

TL;DR

This paper demonstrates how Integer Linear Programming can be used for resource allocation, providing a detailed example and comparison with other algorithms to aid learning and application in networks.

Contribution

It offers a comprehensive illustrative example of ILP for resource allocation, including mathematical modeling and benefits over other methods.

Findings

ILP effectively models resource allocation problems

The example aids in understanding ILP fundamentals

ILP outperforms some traditional algorithms in specific scenarios

Abstract

In this paper, we show how a resource allocation problem can be solved through Integer Linear Programming (ILP). A detailed illustrative example is presented, together with an exhaustive overview of the mathematical model. The size of the required vectors and matrix are determined as well. The presented example can be used to learn students the fundamental basics of ILP-based resource allocation. Next, the specific benefits of the ILP approach compared to other resource allocation algorithms are outlined in this paper. Finally, a related work section is provided with relevant references for further reading. The provided references contain examples of ILP-based resource allocation in modern networks and computing infrastructures.