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• W2500244259 endingPage "61" @default.
• W2500244259 startingPage "34" @default.
• W2500244259 abstract "Interior point methods have proven very successful at solving linear programming problems. When an explicit linear programming formulation is either not available or is too large to employ directly, a column generation approach can be used. Examples of column generation approaches include cutting plane methods for integer programming and decomposition methods for many classes of optimization problems. This tutorial discusses the use of interior point methods in a column generation scheme. Semidefinite programming relaxations of combinatorial optimization problems are often tighter than linear programming relaxations. This tutorial describes some research in using semidefinite programming relaxations to find exact solutions to combinatorial optimization problems. Semidefinite programs are expensive to solve directly, so cutting surface approaches to solving them are also considered. Finally, this tutorial looks at recent smoothing techniques for solving nonsmooth optimization problems using a subgradient approach. These methods have some links to cutting surface approaches." @default.
• W2500244259 created "2016-08-23" @default.
• W2500244259 creator A5074563047 @default.
• W2500244259 date "2009-09-01" @default.
• W2500244259 modified "2023-09-27" @default.
• W2500244259 title "Cutting Plane Methods and Subgradient Methods" @default.
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