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 of ...

In computer science, there are problems that taunt and mock you: the brain mutilating vortex of a difficult recurrence, a sprawling parallel algorithm, anything that almost but doesn’t quite work out, ...

Packing for a trip can be quite a hassle. If you just throw things in as you think of them, you might find yourself in a tough spot when not everything fits in your bag. But there's a mathematical ...

Combinatorial optimisation for knapsack problems addresses the challenge of selecting discrete items to maximise value under capacity constraints. Such problems are central to resource allocation, ...