Learn how to design an algorithm to solve the knapsack problem, a classic optimization challenge in computer science, using dynamic programming, greedy method, branch and bound, and genetic algorithm.

Knapsack Problem The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine the number of each item to include ...

Learn how to solve the knapsack problem with two common approaches: dynamic programming and greedy methods. Compare their pros and cons and decide which one to use.

Dynamic programming is a fundamental algorithm that can be found in our daily lives easily. One of the dynamic programming algorithm implementations consists of solving the 0/1 knapsack problem. A 0/1 ...

Knapsack-Algorithm-with-Dynamic-Programming-and-Greedy-Approach The program simulates a value game using customized chess pieces. In our case, there will be many available pieces for each type of ...

The unbounded knapsack problem: given a knapsack of some capacity and a set of items that have a weight and a value, determine the maximum value of items you can place in your knapsack. The number ...

Many string algorithms including longest common subsequence, longest increasing subsequence, longest common substring, Levenshtein distance (edit distance). Many algorithmic problems on graphs can be ...

We study the incremental knapsack problem, where one wishes to sequentially pack items into a knapsack whose capacity expands over a finite planning horizon, with the objective of maximizing ...