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Titlebook: Linear Programming; Foundations and Exte Robert J. Vanderbei Book Apr 20142nd edition Robert J. Vanderbei 2001 Simplex method.algorithms.co

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发表于 2025-3-21 16:44:18 | 显示全部楼层 |阅读模式
书目名称Linear Programming
副标题Foundations and Exte
编辑Robert J. Vanderbei
视频video
丛书名称International Series in Operations Research & Management Science
图书封面Titlebook: Linear Programming; Foundations and Exte Robert J. Vanderbei Book Apr 20142nd edition Robert J. Vanderbei 2001 Simplex method.algorithms.co
描述.Linear Programming: Foundations and Extensions. is an introduction to the field of optimization. The book emphasizes constrained optimization, beginning with a substantial treatment of linear programming, and proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization... ..The book is carefully written. Specific examples and concrete algorithms precede more abstract topics. Topics are clearly developed with a large number of numerical examples worked out in detail... ..Moreover, .Linear Programming: Foundations and Extensions. underscores the purpose of optimization: to solve practical problems on a computer. Accordingly, the book is coordinated with free efficient C programs that implement the major algorithms studied:..-The two-phase simplex method; -The primal-dual simplex method; -The path-following interior-point method; -The homogeneous self-dual methods... ..In addition, there are online JAVA applets that illustrate various pivot rules and variants of the simplex method, both for linear programming and for network flows. These C programs and JAVA tools can be found on the book‘s webpage: http://www.princeton.edu/-rvdb/LP
出版日期Book Apr 20142nd edition
关键词Simplex method; algorithms; convex analysis; duality; interior-point methods; linear optimization; linear
版次2
doihttps://doi.org/10.1007/978-1-4757-5662-3
issn_series 0884-8289
copyrightRobert J. Vanderbei 2001
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Book Apr 20142nd editioning with a substantial treatment of linear programming, and proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization... ..The book is carefully written. Specific examples and concrete algorithms precede more abstract topics. Topics are clearly
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Duality Theorytwo linear programs gives a bound on the optimal objective function value for the other. These ideas are important and form a subject called duality theory, which is the topic we shall study in this chapter.
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Sensitivity and Parametric Analysesnd nonbasic variables remain optimal? The second subject addresses situations in which one wishes to solve not just one linear program, but a whole family of problems parametrized by a single real variable.
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The Central Pathe method. This path is called the . and is the subject of this chapter. Before discussing the central path, we must lay some groundwork by analyzing a nonlinear problem, called the ., associated with the linear programming problem that we wish to solve.
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studied the same objects in many different guises. My first goal thus has been to take three different viewpoints and demonstrate how they offer complementary intuitive insight into the subject. In Part I we begin with a functorial idea, discussing some familiar processes for constructing groups. Th
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