yet another source of inspiration…
In the world of Operations Research and Optimization, solving complex problems efficiently is a constant pursuit. One such problem that has intrigued researchers and practitioners alike is the Knapsack Problem. In this blog post, we’ll delve into the fascinating realm of metaheuristics and guide you through the step-by-step process of applying these technique to tackle… Read more A Metaheuristic Approach to Solving The Knapsack Problem
In the dynamic world of Python scripting, efficiency is key. Today, let’s delve into the transformative realm of parallelization using Numba’s JIT (Just-In-Time) compiler. Brace yourselves as we explore how this powerful tool not only compiles your code on the fly but also paves the way for parallel execution. Join us on a journey to harness the full potential of your Python scripts through the magic of Numba’s parallelization capabilities.
In this post I’ll show you how to solve the vertex coloring problem to optimality using linear programming. Since the problem is NP-complete, there is no algorithm which can solve any problem instance in deterministic polynomial time. In a former post, I used constraint programming to find an optimal (minimal) vertex coloring. A popular greedy… Read more Vertex Coloring using ILP
I owe this task to Ruedi, a regular tennis player. The Tennis Court Problem (TCP) is about the following task. At the beginning of outdoor tennis, the court lines must always be cleaned first. The sweeping set is often placed in one of two typical locations, usually either on one side of the net or… Read more The Tennis Court Problem (TCP)
In this post I’ll demonstrate the results of my most recent fun project on the micro:bit: An app to solve Happy Cubes®, a set of puzzles created in 1986 by the Belgian toy inventor Dirk Laureyssens. My kids were playing with these cubes and I was wondering, if the micro:bit could solve these cubes in… Read more Solving Happy Cubes® on A micro:bit
This is a similar post as the one on Graph Coloring. However, this in this post I show an application of the graph coloring problem, allowing us to answer practical questions using graph theory. In this post we’ll first tackle a map coloring problem manually, then we’ll use a MiniZinc constraint programming script to validate the solution found.
A node coloring is valid or admissible if any two adjacent nodes do not have the same color. If a graph is colorable, there is a smallest number such that the graph is node colorable. This number is called the chromatic number of the graph and is usually denoted by . The problem to identify… Read more Graph Coloring Problem
In this post I’ll show you the simplest setup to generate synthetic sound using an Arduino Pro Mini. Of course you can also run it on a Leonardo or on an Arduino UNO R3. The project is inspired from a project from the official arduino project hub and you can get the sourcecode here. What… Read more Happy Birthday Duino
In this post we want to try to provide a solution to solve the Traveling Salesman Problem (TSP) using linear programming. The post is based on this excellent video from Mr. Michel Bierlaire at the EPFL. A good written documentation of the Miller Tucker Zemlin Constraint can be found here. What is a TSP? The… Read more TSP Miller-Tucker-Zemlin Subtour Elimination Constraint
In this post I’ll show you how to build an arduino based math training console based on simple standard components. The app is suitable for training math in lower and middle school. It allows configuring difficulty level as well as operations and lets the player choose the correct result from a selection of 4 outcomes… Read more An Arduino based Math Trainer