Introducing the One-Max Problem
Explore the One-Max problem, a foundational concept in genetic algorithms. Understand how to initialize and handle populations of bitstrings, grasp the role of population size, and see how genetic algorithms efficiently search solution spaces without brute force approaches.
We'll cover the following...
What is the One-Max problem?
The One-Max problem is a trivial problem often used to introduce the concept of genetic algorithms. It’s incredibly simple, but it’s great for introducing many of the critical aspects of a genetic algorithm. The problem boils down to one question: what is the maximum sum of a bitstring (a string consisting of only 1s and 0s) of length N?
Of course, we know that the maximum sum of a bitstring of length N is N. However, if we wanted to prove this using a brute-force search, we’d end up needing to search through ...