Linear Programming and Generalizations A Problem-based Introduction with Spreadsheets /

• Main Author: Denardo, Eric V. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US : Imprint: Springer, 2011.
• Series: International Series in Operations Research & Management Science, 149
• Subjects: Business.; Operations research.; Decision making.; Mathematical models.; Mathematical optimization.; Management science.; Industrial engineering.; Production engineering.; Engineering economics.; Engineering economy.; Business and Management.; Operation Research/Decision Theory.; Operations Research, Management Science.; Mathematical Modeling and Industrial Mathematics.; Optimization.; Engineering Economics, Organization, Logistics, Marketing.; Industrial and Production Engineering.

This book on constrained optimization is novel in that it fuses these themes: • use examples to introduce general ideas; • engage the student in spreadsheet computation; • survey the uses of constrained optimization;. • investigate game theory and nonlinear optimization, • link the subject to econom...

Table of Contents:

• Chapter 1. Introduction to Linear Programs
• Chapter 2. Spreadsheet Computation
• Chapter 3. Mathematical Preliminaries
• Chapter 4. The Simplex Method, Part 1
• Chapter 5. Analyzing Linear Programs
• Chapter 6. The Simplex Method, Part 2
• Chapter 7. A Survey of Optimization Problems
• Chapter 8. Path-Length Problems and Dynamic Programming
• Chapter 9. Flows in Networks
• Chapter 10. Vector Spaces and Linear Programs
• Chapter 11. Multipliers and the Simplex Method
• Chapter 12. Duality
• Chapter 13. The Dual Simplex Pivot and Its Uses
• Chapter 14. Introduction to Game Theory
• Chapter 15. The Bi-Matrix Game
• Chapter 16. Fixed Points and Equilibria
• Chapter 17. Convex Sets
• Chapter 18. Differentiation
• Chapter 19. Convex Functions
• Chapter 20
• Nonlinear Programs.