Executive Summary
Genetic Algorithms (GAs) are a powerful class of search-based optimization techniques fundamentally inspired by the principles of natural selection and genetics. Developed by John Holland, GAs are frequently employed to find optimal or near-optimal solutions for complex, NP-Hard problems that would be intractable for traditional methods. The core of a GA is an evolutionary process that mimics Darwinian theory: a population of candidate solutions (chromosomes) is evolved over successive generations. In each generation, fitter individuals are given a higher probability of being selected for reproduction. Genetic operators like crossover (recombination) and mutation are applied to create new offspring, which then replace less fit individuals in the population. This iterative process drives the population towards increasingly better solutions until a termination condition is met.
Key advantages of GAs include their ability to solve problems without requiring derivative information, their efficiency compared to traditional methods for complex landscapes, and their inherent parallel capabilities. They are versatile, capable of optimizing continuous, discrete, and multi-objective problems. However, GAs are not a panacea; they are ill-suited for simple problems, can be computationally expensive due to repeated fitness calculations, and are stochastic in nature, offering no absolute guarantee of optimality. The success of a GA is highly dependent on its implementation, particularly the choice of solution representation, the tuning of parameters like population size and operator probabilities, and the management of population diversity to avoid premature convergence.