Geodesic
Effective parallelization strategy for the solution of subset sum problems by the branch-and-bound method
Diskretnaya Matematika, Tome 31 (2019) no. 4, pp. 20-37

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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. 
@article{DM_2019_31_4_a1,
     author = {R. M. Kolpakov and M. A. Posypkin},
     title = {Effective parallelization strategy for the solution of subset sum problems by the branch-and-bound method},
     journal = {Diskretnaya Matematika},
     pages = {20--37},
     publisher = {mathdoc},
     volume = {31},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2019_31_4_a1/}
}
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R. M. Kolpakov; M. A. Posypkin. Effective parallelization strategy for the solution of subset sum problems by the branch-and-bound method. Diskretnaya Matematika, Tome 31 (2019) no. 4, pp. 20-37. http://geodesic.mathdoc.fr/item/DM_2019_31_4_a1/