Lucassen's Algorithm is a method used in computer science for solving decision problems in a probabilistic manner. It is particularly effective for problems that can be represented as a graph, allowing for efficient exploration of possible solutions. The algorithm combines elements of quantum computing and classical computation to enhance performance, making it suitable for complex tasks. The algorithm operates by simulating a random walk on the graph, where it can make decisions based on probabilities. This approach helps in finding solutions faster than traditional methods, especially in scenarios involving large datasets or intricate structures, showcasing its potential in fields like artificial intelligence and optimization.