The document discusses the firefly algorithm, which is a nature-inspired optimization algorithm based on the flashing characteristics of fireflies. Fireflies use bioluminescent flashes to attract mates or find prey. The firefly algorithm simulates this behavior with brighter fireflies attracting less bright ones. The algorithm has stages including initializing parameters, generating a firefly population, calculating fitness, and updating positions iteratively as fireflies move toward brighter ones. The firefly algorithm has advantages like efficiency but disadvantages of getting trapped in local optima. It has applications in production optimization problems.