Exact, Polynomial, Determination Solution Method of the Subset Sum Problem
نویسندگان
چکیده
منابع مشابه
A Polynomial-time Exact Algorithm for the Subset Sum Problem
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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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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Polynomial-time Matrix-based Method of Determining Subset Sum Solutions
There have been no known algorithms or methods to solve the value-unbounded, general-case subset sum problem in polynomial time. A naive algorithm performs in exponential time by cycling through the possible subsets of A until it has either seen all subsets or found one that sums to c. A common pseudo-polynomial algorithm employs a dynamic programming method whose complexity is polynomial with ...
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ژورنال
عنوان ژورنال: Applied and Computational Mathematics
سال: 2014
ISSN: 2328-5605
DOI: 10.11648/j.acm.20140305.21