A polynomial approximation scheme for the subset sum problem
نویسندگان
چکیده
منابع مشابه
A Polynomial Approximation Scheme for the Subset Sum Problem
The subset sum problem is defined as: given a set of n + 1 positive integers, al, a 2 ..... a, and b, find a subset of the ai's such that their sum is the closest to b without exceeding the value b. We propose a variation of the well-known polynomial approximation scheme of Martello and Toth for this problem. From a practical point of view the suggested algorithm has a better experimental error...
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The interval subset sum problem (ISSP) is a generalization of the wellknown subset sum problem. Given a set of intervals {[ai,1, ai,2]} n i=1 and a target integer T, the ISSP is to find a set of integers, at most one from each interval, such that their sum best approximates the target T but cannot exceed it. In this paper, we first study the computational complexity of the ISSP. We show that th...
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Subset sum problem, (SSP), is an important problem in complexity theory, it belongs to complexity class NP-Hard, therefore to find a polynomial-time exact algorithm that solves subset sum problem proves that P=NP. In the present paper it will be shown a theorem that allows us to develop, as described in the paper, an algorithm of polynomial-time complexity. For a deepening on complexity theory ...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1995
ISSN: 0166-218X
DOI: 10.1016/0166-218x(94)00106-n