Results 301 to 310 of about 408,011 (339)
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Solving Quadratic Programming by Cutting Planes
SIAM Journal on Optimization, 2019Summary: We propose new cutting planes for strengthening the linear relaxations that appear in the solution of nonconvex quadratic problems with linear constraints. By a famous result of Motzkin and Straus, these problems are connected to the clique number of a graph.
Bonami P. +3 more
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Cutting-plane method based on epigraph approximation with discarding the cutting planes
Automation and Remote Control, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zabotin I., Yarullin R.
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2011
We now turn our attention to a proof system more powerful than resolution—the so-called cutting plane proof system. This proof system, which can be viewed as a “geometric generalization” of resolution, originated in works on integer programming by Gomory (1963) and Chvatal (1973); as a proof system it was first considered in Cook et al.
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We now turn our attention to a proof system more powerful than resolution—the so-called cutting plane proof system. This proof system, which can be viewed as a “geometric generalization” of resolution, originated in works on integer programming by Gomory (1963) and Chvatal (1973); as a proof system it was first considered in Cook et al.
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Fenchel Cutting Planes for Integer Programs
Operations Research, 1994A technique for generating cutting planes for integer programs is introduced that is based on the ability to optimize a linear function on a polyhedron rather than explicit knowledge of the underlying polyhedral structure of the integer program. The theoretical properties of the cuts and their relationship to Lagrangian relaxation are discussed, the ...
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Mathematical Programming, 2003
The T-space [\textit{R. E. Gomory}, Some polyhedra related to combinatorial problems. Combinat. Struct. Appl., Proc. Calgary internat. Conf. combinat. Struct. Appl., Calgary 1969), 117 (1970; Zbl 0245.90019)] associated to an integer programming problem IP is the ambient space of integer coefficients of group elements of the group relaxation of IP.
Gomory, Ralph E., Johnson, Ellis L.
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The T-space [\textit{R. E. Gomory}, Some polyhedra related to combinatorial problems. Combinat. Struct. Appl., Proc. Calgary internat. Conf. combinat. Struct. Appl., Calgary 1969), 117 (1970; Zbl 0245.90019)] associated to an integer programming problem IP is the ambient space of integer coefficients of group elements of the group relaxation of IP.
Gomory, Ralph E., Johnson, Ellis L.
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Cutting Planes from Wide Split Disjunctions
2017In this paper, we discuss an extension of split cuts that is based on widening the underlying disjunctions. That the formula for deriving intersection cuts based on splits can be adapted to this case has been known for a decade now. For the first time though, we present applications and computational results.
Bonami P. +3 more
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Cancelling cuts in the regge plane
Physics Letters, 1963The application of the unitary condition in crossed channels suggests the possibility of cuts in the Regge plane. An example from perturbation theory is given in which cancellations between separate terms in the unitary sum removes unwelcome singularities. (C.E.S.)
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Cutting-Plane Theory: Disjunctive Methods
1977This paper is a survey, with new results, of the disjunctive methods of cutting-plane theory, which were devised by Balas, Glover, Owen, Young, and other researchers, over the past half decade. The basic disjunctive cut principle is derived, its interrelations with the other cut-producing procedures are discussed, and applications of it are given. Many
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