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BiqBin: a parallel branch-and-bound solver for binary quadratic problems with linear constraintsGusmeroli, Niccolò ...V članku je predstavljen BiqBin, eksaktni paralelni reševalec za binarne kvadratične probleme. Pristop temelji na natančni kaznovalni metodi, ki najprej na učinkovit način pretvori originalni problem ... v problem maksimalnega prereza, nato pa dobljen problem reši z algoritmom razveji in omeji. Za izračun mej se uporablja semidefinitna relaksacija, ki je okrepljena s podmnožico hipermetričnih neenakosti. Dobljen semidefinitni program rešujemo z metodo svežnjev. V nadaljevanju je predstavljena učinkovita implementacija sekvenčnega in paralelnega algoritma. Slednji temelji na paradigmi mojster-delavci in s pomočjo MPI izkorišča porazdeljeni način paralelizacije. Učinkovitost dobljenih reševalcev primerjamo z BiqCrunch, Gurobi in SCIP na štirih družinah binarnih kvadratičnih problemov. Reševalec je dostopen na naslovu http://www.biqbin.eu.Source: ACM transactions on mathematical software. - ISSN 0098-3500 (Vol. 48, iss. 2, June 2022, art. 15 (31 str.))Type of material - article, component part ; adult, seriousPublish date - 2022Language - englishCOBISS.SI-ID - 116309507
Author
Gusmeroli, Niccolò |
Hrga, Timotej |
Lužar, Borut |
Povh, Janez, 1973- |
Siebenhofer, Melanie |
Wiegele, Angelika
Topics
mathematics of computing |
solvers |
semidefinite programming |
combinatorial optimization |
quadratic programming |
binary quadratic programming |
integer programming |
theory of computation |
branch-and-bound |
computing methodologie |
parallel algorithms
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Database name | Field | Year |
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Gusmeroli, Niccolò | |
Hrga, Timotej | 50783 |
Lužar, Borut | 31670 |
Povh, Janez, 1973- | 22649 |
Siebenhofer, Melanie | |
Wiegele, Angelika |
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