<application, mathematics> Given a set of items, each with a cost and a value, determine the number of each item to include in a collection so that the total cost is less than some given cost and the total value is as large as possible.
The 0/1 knapsack problem restricts the number of each items to zero or one.
Such constraint satisfaction problems are often solved using dynamic programming.
The general knapsack problem is NP-hard, and this has led to attempts to use it as the basis for public-key encryption systems. Several such attempts failed because the knapsack problems they produced were in fact solvable by polynomial-time algorithms.
[Are there any trusted knapsack-based public-key cryptosystems?].
Last updated: 1995-04-10
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Nearby terms: KMODEL « KMS « kn « knapsack problem » KNI » Knights of the Lambda-Calculus » knowbot