knapsack problem
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
Nearby terms:
KMS ♦ kn ♦ knapsack problem ♦ KNI ♦ Knights of the Lambda-Calculus
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