the Knapsack Problem
The Knapsack Problem is a classic optimization problem in computer science and mathematics. It involves a scenario where a thief must choose items to steal, each with a specific weight and value, while maximizing the total value without exceeding a weight limit. The goal is to determine the most valuable combination of items that can fit into a knapsack of limited capacity.
There are different variations of the Knapsack Problem, including the 0/1 Knapsack Problem, where each item can either be taken or left behind, and the Fractional Knapsack Problem, where items can be broken into smaller parts. This problem is widely studied due to its applications in resource allocation, budgeting, and logistics.