In the partially ordered knapsack problem we wish to find a maximum-valued subset of vertices whose total weight does not exceed a given knapsack capacity, and which contains every predecessor of a ...

Abstract: The knapsack problem is known as a NP-hard problem. There is a dynamic programming solution for this problem which is called the 0–1 knapsack. Firefly's innovative optimization algorithm is ...

This repository contains an implementation of the Genetic Algorithm [1] to solve the 0-1 knapsack problem using different programming languages. This implementation of the Genetic Algorithm makes use ...

How the Mathematical Conundrum Called the ‘Knapsack Problem’ Is All Around Us A litany of issues in business, finance, container ship loading and aircraft loading derive from this one simple ...

Abstract Implement the "0/1 knapsack problem" using VQE/QAOA. The challenge is to find the Hamiltonian that encodes the problem to use in the VQE algorithm. Description The 0/1 knapsack problem: Given ...