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JOURNALS // Diskretnaya Matematika // Archive

Diskr. Mat., 2019 Volume 31, Issue 4, Pages 20–37 (Mi dm1526)

This article is cited in 1 paper

Effective parallelization strategy for the solution of subset sum problems by the branch-and-bound method

R. M. Kolpakovab, M. A. Posypkinb

a Lomonosov Moscow State University
b Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow

Abstract: An easily implementable recursive parallelization strategy for solving the subset sum problem by the branch-and-bound method is proposed. Two different frontal and balanced variants of this strategy are compared. On an example of a particular case of the subset sum problem we show that the balanced variant is more effective than the frontal one. Moreover, we show that, for the considered particular case of the subset sum problem, the balanced variant is also time optimal.

Keywords: the branch-and-bound method, parallel computational complexity, the subset sum problem.

UDC: 519.854.2

Received: 25.06.2019
Revised: 06.09.2019

DOI: 10.4213/dm1526


 English version:
Discrete Mathematics and Applications, 2020, 30:5, 313–325

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