Titlebook: Large Scale Linear and Integer Optimization: A Unified Approach; Richard Kipp Martin Book 1999 Springer Science+Business Media New York 19

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Network Flow Linear Programsto linear programming models where all, or a large portion, of the constraints have a network flow structure. The constraint matrix of a network flow linear program has a structure that enables these linear programs to be optimized very quickly. In addition, the associated polyhedron is integer whic

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Linear Systems and ProjectionFinding solutions to systems of linear equalities and inequalities is an incredibly important and fascinating problem from both an . and a . standpoint. Work in this area dates back at least as early as 2000 B.C.

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Inverse Projection: Dantzig-Wolfe DecompositionJust as inverse projection is the dual of projection, ., see Dantzig and Wolfe [112], is the dual of Benders’ decomposition. With Dantzig-Wolfe decomposition, the linear program is decomposed into two sets of constraints, whereas in Benders’ decomposition, the linear program was decomposed into two sets of variables.

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Linear and Integer Linear Optimizationcomputer science, applied mathematics, industrial engineering and operations research/management science. Coursework in linear algebra and analysis is sufficient background. Researchers wishing to brush up on recent developments in large scale linear and integer linear optimization will also find this text useful.

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Integer Linear Systems: Projection and Inverse Projectionne and integer interchangeably. The study of linear and nonlinear Diophantine equations is an important part of number theory. Although linear Diophantine equations were studied in the third century A.D. it was not until the 20th century A.D. (1976 to be precise) that a polynomial algorithm was given for finding an integer solution the system ..