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Fast Approximation Algorithms for the Knapsack and Sum of Subset Problems

โœ Scribed by Ibarra, Oscar H.; Kim, Chul E.


Book ID
115439631
Publisher
Association for Computing Machinery
Year
1975
Tongue
English
Weight
377 KB
Volume
22
Category
Article
ISSN
0004-5411

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We present two new algorithms for searching in sorted X ุ‰ Y ุ‰ R ุ‰ S, one based on heaps and the other on sampling. Each of the algorithms runs in time O(n 2 log n) (n being the size of the sorted arrays X, Y, R, and S). Hence in each case, by constructing arrays of size n โ€ซุโ€ฌ O(2 s/4 ), we obtain a