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Mathematical Programming
Article . 2001 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
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Article . 2001
Data sources: DBLP
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Mixing mixed-integer inequalities

Authors: Oktay Günlük; Yves Pochet;

Mixing mixed-integer inequalities

Abstract

A procedure is given for generating new valid inequalities for a mixed-integer region. The starting point is to consider mixed-integer rounding inequalities [cf. \textit{G. L. Nemhauser} and \textit{L. A. Wolsey}, Math. Program. Ser. A 46, 379--390 (1990; Zbl 0735.90049)] and by combining or ``mixing'' them new valid inequalities are constructed. The procedure is discussed for various important applications in production planning, capacitated facility location, capacitated network design, and multiple knapsack problems.

Country
Belgium
Related Organizations
Keywords

mixed integer programming, mixed integer rounding, Gomory mixed integer cuts., Mixed integer programming, Polyhedral combinatorics, branch-and-bound, branch-and-cut, Gomory mixed integer cuts, Mixed integer rounding, mixed integer programming

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
116
Top 10%
Top 1%
Top 10%
Green