Classical cuts for mixed-integer programming and branch-and-cut.

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Bibliographic Details
Title: Classical cuts for mixed-integer programming and branch-and-cut.
Authors: Padberg, Manfred
Source: Mathematical Methods of Operations Research. 2001, Vol. 53 Issue 2, p173. 31p.
Subjects: Integer programming, Cutting stock problem, Rings of integers
Abstract: We review classical valid linear inequalities for mixed-integer programming, i.e., Gomory's fractional and mixed-integer cuts, and discuss their use in branch-and-cut. In particular, a generalization of the recent mixed-integer rounding (MIR) inequality and a sufficient condition for the global validity of classical cuts after branching has occurred are derived. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:We review classical valid linear inequalities for mixed-integer programming, i.e., Gomory's fractional and mixed-integer cuts, and discuss their use in branch-and-cut. In particular, a generalization of the recent mixed-integer rounding (MIR) inequality and a sufficient condition for the global validity of classical cuts after branching has occurred are derived. [ABSTRACT FROM AUTHOR]
ISSN:14322994
DOI:10.1007/s001860100120