[No longer freely accessible] Linear Programming: Foundations and Extensions

Focuses largely on constrained optimization. Begins with a substantial treatment of linear programming and proceeds to convex analysis, network flows, integer programming, and convex optimization.

**Tag(s):**
Linear Algebra

**Publication date**: 01 May 2001

**ISBN-10**:
0792373421

**ISBN-13**:
0792373421

**Paperback**:
472 pages

**Views**: 20,192

[No longer freely accessible] Linear Programming: Foundations and Extensions

Focuses largely on constrained optimization. Begins with a substantial treatment of linear programming and proceeds to convex analysis, network flows, integer programming, and convex optimization.

Terms and Conditions:

Book Excerpts:

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. Also, check the book's webpage for new online instructional tools and exercises that have been added in the new edition.

Review(s):

Bob Daniel, Operational Research

:) "The worked examples are excellent and very much to be welcomed. Resorting to clear examples to demonstrate the theory is usually deprecated - here it is done to great effect."

Robert M. Freund, Optima

:) "Overall, I greatly enjoyed reviewing this book, and I highly recommend the book as a textbook for an advanced undergraduate or master's level course in linear programming, particularly for courses in an engineering environment. In addition, the book also is a good reference book for interior point methods as well as for implementation and computational aspects of linear programming. This is an excellent new book."

Robert J. Vanderbei wrote:NOTE: This pdf file is password protected against printing. Permission is not granted to print this document --- it is for online viewing only. Any attempt to print this pdf file is a violation of copyright law.

Book Excerpts:

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. Also, check the book's webpage for new online instructional tools and exercises that have been added in the new edition.

Review(s):

Bob Daniel, Operational Research

:) "The worked examples are excellent and very much to be welcomed. Resorting to clear examples to demonstrate the theory is usually deprecated - here it is done to great effect."

Robert M. Freund, Optima

:) "Overall, I greatly enjoyed reviewing this book, and I highly recommend the book as a textbook for an advanced undergraduate or master's level course in linear programming, particularly for courses in an engineering environment. In addition, the book also is a good reference book for interior point methods as well as for implementation and computational aspects of linear programming. This is an excellent new book."

Tweet

About The Author(s)

No information is available for this author.

Book Categories

Computer Science
Introduction to Computer Science
Introduction to Computer Programming
Algorithms and Data Structures
Artificial Intelligence
Computer Vision
Machine Learning
Neural Networks
Game Development and Multimedia
Data Communication and Networks
Coding Theory
Computer Security
Information Security
Cryptography
Information Theory
Computer Organization and Architecture
Operating Systems
Image Processing
Parallel Computing
Concurrent Programming
Relational Database
Document-oriented Database
Data Mining
Big Data
Data Science
Digital Libraries
Compiler Design and Construction
Functional Programming
Logic Programming
Object Oriented Programming
Formal Methods
Software Engineering
Agile Software Development
Information Systems
Geographic Information System (GIS)

Mathematics
Mathematics
Algebra
Abstract Algebra
Linear Algebra
Number Theory
Numerical Methods
Precalculus
Calculus
Differential Equations
Category Theory
Proofs
Discrete Mathematics
Theory of Computation
Graph Theory
Real Analysis
Complex Analysis
Probability
Statistics
Game Theory
Queueing Theory
Operations Research
Computer Aided Mathematics

Supporting Fields
Web Design and Development
Mobile App Design and Development
System Administration
Cloud Computing
Electric Circuits
Embedded System
Signal Processing
Integration and Automation
Network Science
Project Management

Operating System
Programming/Scripting
Ada
Assembly
C / C++
Common Lisp
Forth
Java
JavaScript
Lua
Rexx
Microsoft .NET
Perl
PHP
R
Python
Rebol
Ruby
Scheme
Tcl/Tk

Miscellaneous
Sponsors