Optimization procedures for the bipartite unconstrained 0-1 quadratic programming problem

The bipartite unconstrained 0-1 quadratic programming problem (BQP) is a difficult combinatorial problem defined on a complete graph that consists of selecting a subgraph that maximizes the sum of the weights associated with the chosen vertices and the edges that connect them. The problem has appear...

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Bibliographic Details
Published in:Computers & operations research Vol. 51; pp. 123 - 129
Main Authors: Duarte, Abraham, Laguna, Manuel, Martí, Rafael, Sánchez-Oro, Jesús
Format: Journal Article
Language:English
Published: Kidlington Elsevier Ltd 01.11.2014
Elsevier
Pergamon Press Inc
Subjects:
Applied sciences
Benchmarks
Branch & bound algorithms
Branch and bound
Combinatorics
Computer science; control theory; systems
Exact sciences and technology
Flows in networks. Combinatorial problems
Graphs
Heuristic
Heuristic search
Information retrieval. Graph
Iterated local search
Mathematical problems
Mathematical programming
Operational research and scientific management
Operational research. Management science
Quadratic programming
Studies
Tabu search
Theoretical computing
Heuristic search
Branch and bound
Tabu search
Quadratic programming
Iterated local search
Local search
Unconstrained optimization
Complete graph
Branch and bound method
Combinatorial problem
Matrix factorization
Matrix decomposition
Combinatorial optimization
Zero one programming
Graph connectivity
Graph cut
Implicit enumeration method
Heuristic method
Subgraph
Bipartite graph
ISSN:0305-0548, 1873-765X, 0305-0548
Online Access:Get full text
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Summary:The bipartite unconstrained 0-1 quadratic programming problem (BQP) is a difficult combinatorial problem defined on a complete graph that consists of selecting a subgraph that maximizes the sum of the weights associated with the chosen vertices and the edges that connect them. The problem has appeared under several different names in the literature, including maximum weight induced subgraph, maximum weight biclique, matrix factorization and maximum cut on bipartite graphs. There are only two unpublished works (technical reports) where heuristic approaches are tested on BQP instances. Our goal is to combine straightforward search elements to balance diversification and intensification in both exact (branch and bound) and heuristic (iterated local search) frameworks. We perform a number of experiments to test individual search components and also to create new benchmarks when comparing against the state of the art, which the proposed procedure outperforms.
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ISSN:0305-0548
1873-765X
0305-0548
DOI:10.1016/j.cor.2014.05.019