We describe an algorithm for the 0-1 knapsack problem (KP), which relies mainly on three new ideas. The first one is to focus on what we call the core of the problem, namely, a knapsack problem ...

Several types of large-sized 0-1 Knapsack Problems (KP) may be easily solved, but in such cases most of the computational effort is used for sorting and reduction. In order to avoid this problem it ...

This fictional dilemma, the “knapsack problem,” belongs to a class of mathematical problems famous for pushing the limits of computing. And the knapsack problem is more than a thought experiment.