knapsacklike
Knapsacklike is an umbrella term used in optimization and algorithm design to describe problems that resemble the classical knapsack problem. In its archetype, each item has a cost or weight and a value, and the goal is to choose a subset that fits within a capacity constraint while optimizing a total objective, typically the value. What makes a problem knapsacklike is the combination of a resource constraint and a discrete selection of items, though many variants add additional features or relaxations.
Variants labeled knapsacklike differ in how items can be used and how constraints are measured. They include
Algorithmic attention to knapsacklike problems is driven by NP-hardness in most nontrivial variants. The original 0-1
Applications span resource allocation, budgeting, cargo loading, product feature selection, and project portfolio optimization, where a