Title | ||
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Improving a Lagrangian decomposition for the unconstrained binary quadratic programming problem |
Abstract | ||
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This paper presents a new alternative of Lagrangian decomposition based on column generation technique to solve the unconstrained binary quadratic programming problem. We use a mixed binary linear version of the original quadratic problem with constraints represented by a graph. This graph is partitioned into clusters of vertices forming subproblems whose solutions use the dual variables obtained by a coordinator problem. Computational experiments consider a set of difficult instances and the results are compared against other methods reported recently in the literature. |
Year | DOI | Venue |
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2012 | 10.1016/j.cor.2011.09.008 | Computers & OR |
Keywords | DocType | Volume |
Lagrangian decomposition,difficult instance,unconstrained binary quadratic programming,mixed binary linear version,dual variable,new alternative,column generation technique,computational experiment,coordinator problem,original quadratic problem | Journal | 39 |
Issue | ISSN | Citations |
7 | 0305-0548 | 3 |
PageRank | References | Authors |
0.43 | 11 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Geraldo Regis Mauri | 1 | 88 | 8.79 |
Luiz Antonio Nogueira Lorena | 2 | 498 | 36.72 |