PSO Implementation for the Knapsack Problem
The Knapsack Problem is a classic combinatorial optimization challenge: given a set of items with individual weights and values, determine the optimal selection of items to include in a knapsack such that the total weight does not exceed a specified limit while maximizing the total value. This problem derives its name from the scenario of filling a fixed-capacity backpack with the most valuable items possible. Implementation typically involves dynamic programming or heuristic algorithms like Particle Swarm Optimization (PSO) for larger problem instances.