Linear Programming And Extensions
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Linear Programming and Extensions
Author: George Bernard Dantzig
language: en
Publisher: Princeton University Press
Release Date: 1998
In real-world problems related to finance, business, and management, mathematicians and economists frequently encounter optimization problems. First published in 1963, this classic work looks at a wealth of examples and develops linear programming methods for solutions. Treatments covered include price concepts, transportation problems, matrix methods, and the properties of convex sets and linear vector spaces.
Linear Programming and Extensions
Author: George B. Dantzig
language: en
Publisher: Princeton University Press
Release Date: 2016-08-10
The influential book that established the mathematical discipline of linear programming In the worlds of finance, business, and management, mathematicians and economists frequently encounter problems of optimization. In this classic book, George Dantzig shows how the methods of linear programming can provide solutions. Drawing on a wealth of examples, he introduces the basic theory of linear inequalities and describes the powerful simplex method used to solve them. He discusses the price concept, the transportation problem, and matrix methods, and covers key mathematical concepts such as the properties of convex sets and linear vector spaces. Dantzig demonstrates how linear programming can be applied to a host of optimization problems, from minimizing traffic congestion to maximizing the scheduling of airline flights. An invaluable resource for students and practitioners alike, Linear Programming and Extensions is an extraordinary account of the development and uses of this versatile mathematical technique, blending foundational research in mathematical theory with computation, economic analysis, and applications to industrial problems.
Linear Programming
Author: Robert J Vanderbei
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-06-29
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/LPbook/. Also, check the book's webpage for new online instructional tools and exercises that have been added in the new edition.