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

On an effective strategy of parallelization of solving of some class 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: We consider a specific parallelization strategy for solving of the subset sum problem by the branch and bound method which is easily implemented in practice and called recursive parallelization strategy. We compare two different variants of this strategy which we call frontal and balanced variants. On the example of some particular case of the subset sum problem we show that the balanced variant is more effective than the frontal variant. Moreover, we show that for the considered particular case of the subset sum problem the balanced variant is time optimal.

Keywords: Branch-and-Bound method; parallel computational complexity; subset sum problem.

 Funding Agency Grant Number Russian Foundation for Basic Research 18-07-00566 À

DOI: https://doi.org/10.4213/dm1526

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UDC: 519.854.2
Revised: 06.09.2019

Citation: R. M. Kolpakov, M. A. Posypkin, “On an effective strategy of parallelization of solving of some class of subset sum problems by the branch and bound method”, Diskr. Mat., 31:4 (2019), 20–37

Citation in format AMSBIB
\Bibitem{KolPos19} \by R.~M.~Kolpakov, M.~A.~Posypkin \paper On an effective strategy of parallelization of solving of some class of subset sum problems by the branch and bound method \jour Diskr. Mat. \yr 2019 \vol 31 \issue 4 \pages 20--37 \mathnet{http://mi.mathnet.ru/dm1526} \crossref{https://doi.org/10.4213/dm1526}