0/1 Knapsack Problem
The 0/1 Knapsack Problem is a classic optimization problem in computer science and mathematics. It involves a knapsack with a fixed capacity and a set of items, each with a specific weight and value. The goal is to determine the maximum value of items that can be placed in the knapsack without exceeding its weight limit. Each item can either be included in the knapsack or excluded, hence the name "0/1."
This problem is commonly solved using dynamic programming techniques. It has applications in various fields, including resource allocation, budgeting, and logistics. The 0/1 Knapsack Problem is a fundamental example used to illustrate algorithm design and complexity analysis.