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Benders Decomposition/Evidence
Method evidence record

Benders Decomposition

Benders Decomposition, introduced by Jacques F. Benders in 1962, is a powerful algorithmic framework for solving large-scale mixed-integer programming (MIP) problems. It decomposes the problem into a master problem (controlling complicating variables) and subproblems (handling remaining variables), using cutting planes generated from subproblem dual information to iteratively tighten the master problem.

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Source record

Citations copied verbatim from the method’s source record. No claim-level verification is inferred from them.

Benders Decomposition Method
Taxonomic method record · ml-model / operations-research
  • Benders, J. F. (1962). Partitioning procedures for solving mixed-variables programming problems. Numerische Mathematik, 4(1), 238-252. · DOI 10.1007/BF01386316
  • Geoffrion, A. M. (1972). Generalized Benders decomposition. Journal of Optimization Theory and Applications, 10(4), 237-260. · DOI 10.1007/BF00934810
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Related methods

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Taxonomic bucketAugmented Lagrangian Methodmachine-suggested · Relational suggestion, not evidence.Taxonomic bucketColumn Generation (Dantzig-Wolfe)machine-suggested · Relational suggestion, not evidence.Taxonomic bucketSimplex Methodmachine-suggested · Relational suggestion, not evidence.

Evidence status

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Bibliographic sources are present. Claim-level evidence review has not been performed.

Sources

2 recorded citations, copied from the method source record.

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