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Linear Programming : Mathematics, Theory and Algorithms

Mathematics, Theory and Algorithms

By: M.J. Panik

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Hardcover | 1 December 2009

At a Glance

Hardcover
512 Pages

Dimensions(cm)
25.4 x 17.15 x 3.18

Hardcover

$329.00

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Linear Programming provides an in-depth look at simplex based as well as the more recent interior point techniques for solving linear programming problems. Starting with a review of the mathematical underpinnings of these approaches, the text provides details of the primal and dual simplex methods with the primal-dual, composite, and steepest edge simplex algorithms. This then is followed by a discussion of interior point techniques, including projective and affine potential reduction, primal and dual affine scaling, and path following algorithms. Also covered is the theory and solution of the linear complementarity problem using both the complementary pivot algorithm and interior point routines. A feature of the book is its early and extensive development and use of duality theory.
Audience: The book is written for students in the areas of mathematics, economics, engineering and management science, and professionals who need a sound foundation in the important and dynamic discipline of linear programming.

Industry Reviews

` ... a carefully written textbook in a clear style. It is a very informative introduction to this field and may be recommended to students as well as to everybody interested in this special field of applied mathematics.'
Optimization, 43 (1998)

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You Can Find This Book In

Non-Fiction Mathematics Optimisation Linear Programming Game Theory Economics Economic Theory & Philosophy Computing & I.T.Computer Programming & Software Development Applied Mathematics Business & Management Operational Research

Econometrics

Introduction and Overview	p. 1
Preliminary Mathematics	p. 9
Introduction to Linear Programming	p. 69
Duality Theory	p. 89
The Theory of Linear Programming	p. 111
Duality Theory Revisited	p. 141
Computational Aspects of Linear Programming	p. 169
One-Phase, Two-Phase, and Composite Methods of Linear Programming	p. 195
Computational Aspects of Linear Programming: Selected Transformations	p. 233
The Dual Simplex, Primal-Dual, and Complementary Pivot Methods	p. 251
Postoptimality Analysis I	p. 289
Postoptimality Analysis II	p. 319
Interior Point Methods	p. 341
Interior Point Algorithms for Solving Linear Complementarity Problems	p. 433
Appendix A: Updating the Basis Inverse	p. 459
Appendix B: Steepest Edge Simplex Methods	p. 461
Appendix C: Derivation of the Projection Matrix	p. 467
References	p. 473
Notation Index	p. 485
Index	p. 489
Table of Contents provided by Blackwell. All Rights Reserved.

Linear Programming : Mathematics, Theory and Algorithms

Mathematics, Theory and Algorithms

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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