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Preface | ||
Preface to 2nd Edition | ||
Pt. 1 | Basic Theory - The Simplex Method and Duality | 1 |
Ch. 1 | Introduction | 3 |
Ch. 2 | The Simplex Method | 13 |
Ch. 3 | Degeneracy | 29 |
Ch. 4 | Efficiency of the Simplex Method | 45 |
Ch. 5 | Duality Theory | 55 |
Ch. 6 | The Simplex Method in Matrix Notation | 89 |
Ch. 7 | Sensitivity and Parametric Analyses | 111 |
Ch. 8 | Implementation Issues | 125 |
Ch. 9 | Problems in General Form | 151 |
Ch. 10 | Convex Analysis | 161 |
Ch. 11 | Game Theory | 173 |
Ch. 12 | Regression | 189 |
Pt. 2 | Network-Type Problems | 211 |
Ch. 13 | Network Flow Problems | 213 |
Ch. 14 | Applications | 241 |
Ch. 15 | Structural Optimization | 259 |
Pt. 3 | Interior-Point Methods | 275 |
Ch. 16 | The Central Path | 277 |
Ch. 17 | A Path-Following Method | 291 |
Ch. 18 | The KKT System | 307 |
Ch. 19 | Implementation Issues | 315 |
Ch. 20 | The Affine-Scaling Method | 333 |
Ch. 21 | The Homogeneous Self-Dual Method | 349 |
Pt. 4 | Extensions | 371 |
Ch. 22 | Integer Programming | 373 |
Ch. 23 | Quadratic Programming | 395 |
Ch. 24 | Convex Programming | 413 |
Source Listings | 425 | |
Answers to Selected Exercises | 433 | |
Bibliography | 435 | |
Index | 443 |
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