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Elementary linear programming with applications /
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...
| Cote: | Libro Electrónico |
|---|---|
| Auteurs principaux: | , |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
San Diego, California ; London, England :
Academic Press,
1995.
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| Édition: | Second edition. |
| Collection: | Computer science and scientific computing.
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| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- Front Cover; Elementary Linear Programming with Applications; Copyright Page; Dedication; Table of Contents; Preface; Acknowledgments; Prologue; Chapter 0. Review of Linear Algebra (Optional); 0.1 Matrices; 0.2 Gauss-Jordan Reduction; 0.3 The Inverse of a Matrix; 0.4 Subspaces; 0.5 Linear Independence and Basis; Further Reading; Chapter 1. Introduction to Linear Programming; 1.1 The Linear Programming Problem; 1.2 Matrix Notation; 1.3 Geometry of Linear Programming Problems; 1.4 The Extreme Point Theorem; 1.5 Basic Solutions; Further Reading; Chapter 2. The Simplex Method.
- 2.1 The Simplex Method for Problems in Standard Form2.2 Degeneracy and Cycling (Optional); 2.3 Artificial Variables; Further Reading; Chapter 3. Further Topics in Linear Programming; 3.1 Duality; 3.2 The Duality Theorem; 3.3 Computational Relations between the Primal and Dual Problems; 3.4 The Dual Simplex Method; 3.5 The Revised Simplex Method; 3.6 Sensitivity Analysis; 3.7 Computer Aspects (Optional); Further Reading; Chapter 4. Integer Programming; 4.1 Examples; 4.2 Cutting Plane Methods; 4.3 Branch and Bound Methods; 4.4 Computer Aspects (Optional); Further Reading.
- Chapter 5. Special Types of Linear Programming Problems5.1 The Transportation Problem; 5.2 The Assignment Problem; 5.3 Graphs and Networks: Basic Definitions; 5.4 The Maximal Flow Problem; 5.5 The Shortest Route Problem; 5.6 The Critical Path Method; 5.7 Computer Aspects (Optional); APPENDIX A: Karmarkar's Algorithm; APPENDIX B: Microcomputer Software; APPENDIX C: SMPX; Answers to Odd-Numbered Exercises; Index.