Approximation schemes for the subset-sum problem: Survey and experimental analysis

1985 ◽  
Vol 22 (1) ◽  
pp. 56-69 ◽  
Author(s):  
Silvano Martello ◽  
Paolo Toth
Keyword(s):  
Experimental Analysis ◽  
Approximation Schemes ◽  
Subset Sum Problem ◽  
Subset Sum

scholarly journals Trivial geometric heuristic for subset sum problem

2017 ◽  
Author(s):  
R U
Keyword(s):  
Greedy Algorithm ◽  
Dimensional Space ◽  
Approximate Solutions ◽  
Exact Algorithms ◽  
Approximation Schemes ◽  
Brute Force ◽  
Discrete Structure ◽  
Subset Sum Problem ◽  
Subset Sum ◽  
Hyper Plane

All exact algorithms for solving subset sum problem (SUBSET\_SUM) are exponential (brute force, branch and bound search, dynamic programming which is pseudo-polynomial). To find the approximate solutions both a classical greedy algorithm and its improved variety, and different approximation schemes are used.This paper is an attempt to build another greedy algorithm by transferring representation of analytic geometry to such an object of discrete structure as a set. Set of size $n$ is identified with $n$-dimensional space with Euclidean metric, the subset-sum is identified with (hyper)plane.

An Algorithm Using Modular Arithmetic for the Subset Sum Problem

1990 ◽  
Vol 21 (2) ◽  
pp. 1-10
Author(s):  
Toshiro Tachibana ◽  
Hideo Nakano ◽  
Yoshiro Nakanishi ◽  
Mitsuru Nakao
Keyword(s):  
Modular Arithmetic ◽  
Subset Sum Problem ◽  
Subset Sum

Parallel approximation schemes for Subset Sum and Knapsack problems

1987 ◽  
Vol 24 (4) ◽  
pp. 417-432 ◽  
Author(s):  
Joseph G. Peters ◽  
Larry Rudolph
Keyword(s):  
Knapsack Problems ◽  
Approximation Schemes ◽  
Subset Sum ◽  
Parallel Approximation
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