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Valid Inequalities for Separable Concave Constraints with Indicator Variables
Mathematical Programming, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cong Han Lim +2 more
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Lot-Sizing with Constant Batches: Formulation and Valid Inequalities
Mathematics of Operations Research, 1993We consider the classical lot-sizing problem with constant production capacities (LCC) and a variant in which the capacity in each period is an integer multiple of some basic batch size (LCB). We first show that the classical dynamic program for LCC simplifies for LCB leading to an O(n2 min{n, C}) algorithm (where n is the number of periods and C the
Yves Pochet, Laurence A. Wolsey
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On the validity of the Cauchy–Schwarz inequality for the bracket map [PDF]
Due to its properties, the bracket map associated with a dual integrable unitary representation of a locally compact group can be viewed as a certain operator-valued inner product; however, in the non-commutative setting, the Cauchy–Schwarz property for bracket is no longer present in its full strength.
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Bilevel Programming and Maximally Violated Valid Inequalities. [PDF]
In recent years, branch-and-cut algorithms have become firmly established as the most effective method for solving generic mixed integer linear programs (MIPs). Methods for automatically generating inequalities valid for the convex hull of solutions to such MIPs are a critical element of branch-and-cut.
LODI, ANDREA, T. K. Ralphs
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Valid Inequalities and Superadditivity for 0–1 Integer Programs
Mathematics of Operations Research, 1977It is shown that valid inequalities for 0–1 problems can be essentially characterized by two underlying functions, one of which is superadditive. These functions are essential to the characterization of maximal inequalities, the projection of valid inequalities and the definition of a master polytope. Similar properties are shown to hold for 0–1 group
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Strong valid inequalities for Boolean logical pattern generation
Journal of Global Optimization, 2017Kedong Yan, H. Ryoo
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Valid inequalities for the topology optimization problem in gas network design
OR Spectr., 2016Jesco Humpola, A. Fügenschuh, T. Koch
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