Linear programming and generalizations : a problem-based introduction with spreadsheets / Eric V. Denardo

Por: Denardo, Eric VTipo de material: TextoTextoSeries International series in operations research & management science ; 149Detalles de publicación: New York : Springer, 2011 Descripción: X, 673 p. : il. ; 25 cmISBN: 978-1-4419-6490-8Tema(s): Programación lineal | Investigación operativa | Hojas de cálculo electrónicasResumen: 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 economic reasoning, and present the requisite mathematics. Blending these themes makes constrained optimization more accessible and more valuable. It stimulates the students̕ interest, quickens the learning process, reveals connections to several academic and professional fields, and deepens the students̕ grasp of the relevant mathematics. The book is designed for use in courses that focus on the applications of constrained optimization, in courses that emphasize the theory, and in courses that link the subject to economics." - The book discusses a trilogy of keys to economic reasoning: shadow prices, opportunity costs and marginal analysis - Discuses selective treatment of other MP topics that are used today, including integer programming, networks, convex analysis, game theoResumen: Índice: 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... Etc.
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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 economic reasoning, and present the requisite mathematics. Blending these themes makes constrained optimization more accessible and more valuable. It stimulates the students̕ interest, quickens the learning process, reveals connections to several academic and professional fields, and deepens the students̕ grasp of the relevant mathematics. The book is designed for use in courses that focus on the applications of constrained optimization, in courses that emphasize the theory, and in courses that link the subject to economics." - The book discusses a trilogy of keys to economic reasoning: shadow prices, opportunity costs and marginal analysis - Discuses selective treatment of other MP topics that are used today, including integer programming, networks, convex analysis, game theo

Índice: 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... Etc.

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