Elementary Linear Programming With Applications
by Kolman, BernardEdition: Revised
Format: Hardcover
Pub. Date: 1979-12-01
Publisher(s): Academic Pr
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Summary
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
Table of Contents
| 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. |
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