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 ...

This is an implementation of the 0-1 knapsack problem in C using dynamic programming. The problem consists of a set of items, each with a weight and a value, and a knapsack with a maximum weight ...

Abstract The nonlinear multidimensional knapsack problem is defined as the minimization of a convex function with multiple linear constraints. The methods developed for nonlinear multidimensional ...

Previously, randomized polynomial-time approximation schemes (FPRAS) were known first by Morris and Sinclair via Markov chain Monte Carlo techniques, and subsequently by Dyer via dynamic programming ...