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Probabilistic analysis of the subset-sum problem

✍ Scribed by Gianfranco D'Atri; Claude Puech


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
285 KB
Volume
4
Category
Article
ISSN
0166-218X

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In the well-known Subset Sum Problem, we are given positive integers a,, , a, and t and are to determine if some subset of the ai sums to t. We investigate the boundary between easy and hard variations of this problem. In particular, we consider the cases where the sequence 'A,~ .L' a,, \_\_\_ ,an i

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Given a set of n positive integers and a knapsack of capacity c; the Subset-Sum Problem is to find a subset the sum of which is closest to c without exceeding the value c: In this paper we present a fully polynomial approximation scheme which solves the Subset-Sum Problem with accuracy e in time OΓ°m