On the parallelization of dynamic programming method for knapsack problem
Abstract
Full Text:
PDF (Russian)References
Lazarev Alexander A, Werner Frank. A graphical realization of the
dynamic programming method for solving np-hard combinatorial
problems // Computers & Mathematics with Applications. — 2009. —
Vol. 58, no. 4. — P. 619–631.
Kolpakov Roman Maksimovich, Posypkin Mikhail Anatol’evich. Upper
and lower bounds for the complexity of the branch and bound
method for the knapsack problem // Discrete Mathematics and Applications. — 2010. — Vol. 20, no. 1. — P. 95–112.
Kolpakov RM, Posypkin MA, Sin Si Tu Tant. Complexity of solving
the subset sum problem with the branch-and-bound method with domination and cardinality filtering // Automation and Remote Control. —
— Vol. 78, no. 3. — P. 463–474.
Kellerer Hans, Pferschy Ulrich, Pisinger David. Knapsack problems.
Martello Silvano, Toth Paolo. Knapsack problems: algorithms and
computer implementations. — John Wiley & Sons, Inc., 1990.
Gary Michael R, Johnson David S. Computers and intractability: A
guide to the theory of np-completeness. — 1979.
El Baz Didier, Elkihel Moussa. Load balancing methods and parallel
dynamic programming algorithm using dominance technique applied
to the 0–1 knapsack problem // Journal of Parallel and Distributed
Computing. — 2005. — Vol. 65, no. 1. — P. 74–84.
Tan Guangming, Sun Ninghui, Gao Guang R. A parallel dynamic
programming algorithm on a multi-core architecture // Proceedings
of the nineteenth annual ACM symposium on Parallel algorithms and
architectures / ACM. — 2007. — P. 135–144.
Kolpakov Roman Maksimovich, Posypkin Mikhail Anatolevich, Sigal
I Kh. On a lower bound on the computational complexity of a
parallel implementation of the branch-and-bound method // Automation
and Remote Control. — 2010. — Vol. 71, no. 10. — P. 2152–
Kolpakov Roman, Posypkin Mikhail. The lower bound on complexity
of parallel branch-and-bound algorithm for subset sum problem // AIP
Conference Proceedings / AIP Publishing. — Vol. 1776. — 2016. —
P. 050008.
Refbacks
- There are currently no refbacks.
Abava Кибербезопасность IT Congress 2024
ISSN: 2307-8162