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 in a collection ...

Dynamic programming guarantees the optimal solution for the knapsack problem, especially with integer values and weights. It also allows reconstruction of the chosen items by tracing the table.

One way to measure the performance of a greedy algorithm for the knapsack problem is to compare it with the optimal solution, which can be found by using dynamic programming or branch-and-bound ...

This repository contains a Java program to solve the Knapsack Problem using dynamic and recursive algorithms. It demonstrates the efficiency of the dynamic approach compared to the recursive solution.

When designing electronic circuits, we often need to solve discrete optimization problems. One of the basic methods for solving such problems is the method of dynamic programming. The paper is devoted ...

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 ...

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 ...

In order to optimize the knapsack problem further, this paper proposes an innovative model based on dynamic expectation efficiency, and establishes a new optimization algorithm of 0-1 knapsack problem ...