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Elementary Linear Programming with Applications : Computer Science & Scientific Computing Series - Bernard Kolman

Elementary Linear Programming with Applications

Computer Science & Scientific Computing Series

Hardcover Published: 6th July 1995
ISBN: 9780124179103
Number Of Pages: 449

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Linear programming finds the least expensive way to meet given needs with available resources. Its results are used in every area of engineering and commerce: agriculture, oil refining, banking, and air transport. Authors Kolman and Beck present the basic notions of linear programming and illustrate how they are used to solve important common problems. The software on the included disk leads students step-by-step through the calculations.
The Second Edition is completely revised and provides additional review material on linear algebra as well as complete coverage of elementary linear programming. Other topics covered include: the Duality Theorem; transportation problems; the assignment problem; and the maximal flow problem. New figures and exercises are provided and the authors have updated all computer applications.
The disk that comes with the book contains the student-oriented linear programming code SMPX, written by Professor Evar Nering of Arizona State University. The authors also recommend inexpensive linear programming software for personal computers.

* More review material on linear algebra
* Elementary linear programming covered more efficiently
* Presentation improved, especially for the duality theorem, transportation problems, the assignment problem, and the maximal flow problem
* New figures and exercises
* Computer applications updated
* Added disk with the student-oriented linear programming code SMPX, written by Professor Evar Nering of Arizona State University
* New guide to inexpensive linear programming software for personal computers

Industry Reviews

"The book presents the basic ideas of linear programming and related areas by not using a rigorous approach. The main objective, to provide a textbook that is readable by students in business, engineering, and computer science, seems to have been achieved....A rich set of more than 280 exercises, real-life projects and further reading suggestions successfully stimulates learning." --MATHEMATICAL REVIEWS "...The book is very clearly written with many illustrative examples and exercises. The proofs of theoretical results are kept to a minimum so that the book is easy to read even for non mathematics students. It is an excellent textbook on linear programming at an introductory level." --ZENT. FUR MATHEMATIK UNDIHRE GRENZGEBIETE

Prologue: Introduction to Operations Research
Review of Linear Algebra: Matrices
Gauss-Jordan Reduction
The Inverse of a Matrix
Subspaces
Linear Independence and Basis
Introduction to Linear Programming: The Linear Programming Problem
Matrix Notation
Geometry of Linear Programming Problems
The Extreme Point Theorem
Basic Solutions
The Simplex Method: The Simplex Method for Problems in Standard Form
Degeneracy and Cycling
Artificial Variables
Further Topics in Linear Programming: Duality
The Duality Theorem
Computational Relations between the Primal and Dual Problems
The Dual Simplex Method
The Revised Simplex Method
Sensitivity Analysis
Computer Aspects
Integer Programming: Examples
Cutting Plane Methods
Branch and Bound Methods
Computer Aspects
Special Types of Linear Programming Problems: The Transportation Problem
The Assignment Problem
Graphs and Networks (Basic Definitions). The Maximal Flow Problem
The Shortest Route Problem
The Critical Path Method
Computer Aspects
Appendices: Karmarkar's Algorithm
Microcomputer Software
SMPX
Answers to Odd-Numbered Exercises
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780124179103
ISBN-10: 012417910X
Series: Computer Science & Scientific Computing Series
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 449
Published: 6th July 1995
Publisher: ACADEMIC PR INC
Country of Publication: US
Dimensions (cm): 24.03 x 16.54  x 2.92
Weight (kg): 0.87
Edition Number: 2
Edition Type: Revised

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