Linear Programming Foundations and Extensions /

• Κύριος συγγραφέας: Vanderbei, Robert J. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Springer US, 2008.
• Έκδοση: 3.
• Σειρά: International Series in Operations Research & Management Science, 114
• Θέματα: Mathematics.; Operations research.; Decision making.; Mathematical models.; Mathematical optimization.; Management science.; Industrial engineering.; Production engineering.; Engineering economics.; Engineering economy.; Operations Research, Management Science.; Operation Research/Decision Theory.; Optimization.; Mathematical Modeling and Industrial Mathematics.; Engineering Economics, Organization, Logistics, Marketing.; Industrial and Production Engineering.

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 flows, integer programming, quadratic programming, an...

Πίνακας περιεχομένων:

• Basic Theory—The Simplex Method and Duality
• The Simplex Method
• Degeneracy
• Efficiency of the Simplex Method
• Duality Theory
• The Simplex Method in Matrix Notation
• Sensitivity and Parametric Analyses
• Implementation Issues
• Problems in General Form
• Convex Analysis
• Game Theory
• Regression
• Financial Applications
• Network-Type Problems
• Network Flow Problems
• Applications
• Structural Optimization
• Interior-Point Methods
• The Central Path
• A Path-Following Method
• The KKT System
• Implementation Issues
• The Affine-Scaling Method
• The Homogeneous Self-Dual Method
• Extensions
• Integer Programming
• Quadratic Programming
• Convex Programming.