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Branch-and-bound algorithms: A survey of recent advances in searching, branching, and pruning.

Authors :
Morrison, David R.
Jacobson, Sheldon H.
Sauppe, Jason J.
Sewell, Edward C.
Source :
Discrete Optimization; Feb2016, Vol. 19, p79-102, 24p
Publication Year :
2016

Abstract

The branch-and-bound (B&B) algorithmic framework has been used successfully to find exact solutions for a wide array of optimization problems. B&B uses a tree search strategy to implicitly enumerate all possible solutions to a given problem, applying pruning rules to eliminate regions of the search space that cannot lead to a better solution. There are three algorithmic components in B&B that can be specified by the user to fine-tune the behavior of the algorithm. These components are the search strategy, the branching strategy, and the pruning rules. This survey presents a description of recent research advances in the design of B&B algorithms, particularly with regards to these three components. Moreover, three future research directions are provided in order to motivate further exploration in these areas. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15725286
Volume :
19
Database :
Supplemental Index
Journal :
Discrete Optimization
Publication Type :
Academic Journal
Accession number :
113404930
Full Text :
https://doi.org/10.1016/j.disopt.2016.01.005