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Linear Programming: Foundations and Extensions Book

Linear Programming: Foundations and Extensions
Linear Programming: Foundations and Extensions, , Linear Programming: Foundations and Extensions has a rating of 3 stars
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  • Linear Programming: Foundations and Extensions
  • Written by author Robert J. Vanderbei
  • Published by Springer-Verlag New York, LLC, March 1998
  • Linear Programming: Foundations and Extensions is an introduction to the field of optimization. The book emphasizes constrained optimization, beginning with a substantial treatment of linear programming, and proceeding to convex analysis, network flow
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Preface
Preface to 2nd Edition
Pt. 1Basic Theory - The Simplex Method and Duality1
Ch. 1Introduction3
Ch. 2The Simplex Method13
Ch. 3Degeneracy29
Ch. 4Efficiency of the Simplex Method45
Ch. 5Duality Theory55
Ch. 6The Simplex Method in Matrix Notation89
Ch. 7Sensitivity and Parametric Analyses111
Ch. 8Implementation Issues125
Ch. 9Problems in General Form151
Ch. 10Convex Analysis161
Ch. 11Game Theory173
Ch. 12Regression189
Pt. 2Network-Type Problems211
Ch. 13Network Flow Problems213
Ch. 14Applications241
Ch. 15Structural Optimization259
Pt. 3Interior-Point Methods275
Ch. 16The Central Path277
Ch. 17A Path-Following Method291
Ch. 18The KKT System307
Ch. 19Implementation Issues315
Ch. 20The Affine-Scaling Method333
Ch. 21The Homogeneous Self-Dual Method349
Pt. 4Extensions371
Ch. 22Integer Programming373
Ch. 23Quadratic Programming395
Ch. 24Convex Programming413
Source Listings425
Answers to Selected Exercises433
Bibliography435
Index443


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