This type of problem is analogous to a resource allocation task where one may include or exclude a non-divisible job in a budget-bound or time-bound queue. Each item has an associated weight, and thus, selecting a specific item consumes its associated weight from the knapsack’s fixed capacity. The problem’s primary objective is to fill a knapsack of fixed capacity with the most profitable items from a set of items. An exhaustive search for these problems is usually not feasible as it may be computationally expensive and time-consuming. Combinatorial optimization problems typically involve the selection of an optimal solution from a finite set of solutions.
Problem Definition: The zero-one knapsack problem belongs to the category of combinatorial optimization problems.
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