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Branch-and-cut: Column generation for solving huge integer programs

Conference ·
OSTI ID:36337

We discuss formulations of integer programs with a huge number of variables and their solution by column generation methods, i.e., implicit pricing of nonbasic variables to generate new columns or to prove LP optimality at a node of the branch-and-bound tree. We present classes of models for which this approach decomposes the problem, provides tighter LP relaxations, and eliminates symmetry. We then discuss computational issues and implementation of column generation, branch-and-bound algorithms, including special branching rules.

OSTI ID:
36337
Report Number(s):
CONF-9408161--
Country of Publication:
United States
Language:
English

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